1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745
|
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Creator: dpic version 2022.12.01 option -v for SVG 1.1 -->
<!-- width="512" height="1083" -->
<svg
xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"
xml:space="preserve"
style="shape-rendering:geometricPrecision; text-rendering:geometricPrecision;
image-rendering:optimizeQuality; fill-rule:evenodd; clip-rule:evenodd"
width="510.666667px" height="1081.788427px"
viewBox="0 0 510.666667 1081.788427"
font-size="11pt" text-anchor="middle"
stroke="black" stroke-miterlimit="10" stroke-width="1.066667" fill="none">
<g>
<g style="font-family:Times"
>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="3.733333" y="48.266667"><tspan font-style="italic">r(s)</tspan></text>
<polygon stroke-width="0" fill="black"
points="29.866667,48.533333 39.466667,50.933333
29.866667,53.333333" />
<line x1="1.066667" y1="50.933333" x2="37.267677" y2="50.933333" />
<circle cx="51.466667" cy="50.933333" r="12" />
<line x1="63.466667" y1="50.933333" x2="101.866667" y2="50.933333" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="82.666667" y="48.266667"><tspan font-style="italic">e(s)</tspan></text>
<polygon stroke-width="0" fill="black"
points="130.666667,48.533333 140.266667,50.933333
130.666667,53.333333" />
<line x1="101.866667" y1="50.933333" x2="138.067677" y2="50.933333" />
<rect x="140.266667" y="38.933333" width="36" height="24" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="158.266667" y="55.773333"
><tspan font-style="italic">K</tspan><tspan font-size="70%"
dy="0.66ex" dx="">P</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<polygon stroke-width="0" fill="black"
points="193.066667,48.533333 202.666667,50.933333
193.066667,53.333333" />
<line x1="176.266667" y1="50.933333" x2="200.467677" y2="50.933333" />
<circle cx="214.666667" cy="50.933333" r="12" />
<line x1="101.866667" y1="50.933333" x2="101.866667" y2="12.533333" />
<polygon stroke-width="0" fill="black"
points="130.666667,10.133333 140.266667,12.533333
130.666667,14.933333" />
<line x1="101.866667" y1="12.533333" x2="138.067677" y2="12.533333" />
<rect x="140.266667" y="0.533333" width="36" height="24" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="158.266667" y="17.373333"
><tspan font-style="italic">K</tspan><tspan font-size="70%"
dy="0.66ex" dx="">D</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan>s</text>
<line x1="176.266667" y1="12.533333" x2="214.666667" y2="12.533333" />
<polygon stroke-width="0" fill="black"
points="217.066667,29.333333 214.666667,38.933333
212.266667,29.333333" />
<line x1="214.666667" y1="12.533333" x2="214.666667" y2="36.734344" />
<line x1="101.866667" y1="50.933333" x2="101.866667" y2="89.333333" />
<polygon stroke-width="0" fill="black"
points="130.666667,86.933333 140.266667,89.333333
130.666667,91.733333" />
<line x1="101.866667" y1="89.333333" x2="138.067677" y2="89.333333" />
<rect x="140.266667" y="77.333333" width="36" height="24" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="158.266667" y="94.173333"
><tspan font-style="italic">K</tspan><tspan font-size="70%"
dy="0.66ex" dx="">I</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan>/s</text>
<line x1="176.266667" y1="89.333333" x2="214.666667" y2="89.333333" />
<polygon stroke-width="0" fill="black"
points="212.266667,72.533333 214.666667,62.933333
217.066667,72.533333" />
<line x1="214.666667" y1="89.333333" x2="214.666667" y2="65.132323" />
<polygon stroke-width="0" fill="black"
points="255.466667,48.533333 265.066667,50.933333
255.466667,53.333333" />
<line x1="226.666667" y1="50.933333" x2="262.867677" y2="50.933333" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="244.767172" y="48.266667"><tspan font-style="italic">u(s)</tspan></text>
<rect x="265.066667" y="26.933333" width="72" height="48" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="301.066667" y="55.773333"><tspan font-style="italic">G(s)</tspan></text>
<polygon stroke-width="0" fill="black"
points="365.866667,48.533333 375.466667,50.933333
365.866667,53.333333" />
<line x1="337.066667" y1="50.933333" x2="373.267677" y2="50.933333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="372.8" y="45.609963"><tspan font-style="italic">y(s)</tspan></text>
<polyline points="356.266667,50.933333 356.266667,122.933333
51.466667,122.933333" />
<polygon stroke-width="0" fill="black"
points="49.066667,72.533333 51.466667,62.933333
53.866667,72.533333" />
<line x1="51.466667" y1="122.933333" x2="51.466667" y2="65.132323" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="46.133333" y="70.44"><tspan font-style="italic">-</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="3.733333" y="141.92176"
>(a) <tspan font-style="italic">PID</tspan> control</text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="15.733333" y="199.466667"><tspan font-style="italic">r</tspan></text>
<polygon stroke-width="0" fill="black"
points="41.866667,199.733333 51.466667,202.133333
41.866667,204.533333" />
<line x1="13.066667" y1="202.133333" x2="49.267677" y2="202.133333" />
<circle fill="rgb(153,153,153)"
cx="61.066667" cy="202.133333" r="9.6" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="63.733333" y="224.08"
> <tspan font-style="italic">-</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="51.466667" y="199.466667"><tspan font-style="italic">+</tspan></text>
<rect fill="rgb(230,230,230)"
stroke="none"
x="99.466667" y="173.333333" width="297.6" height="115.2" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="102.133333" y="285.866667"><tspan font-style="italic">Plant</tspan></text>
<polygon stroke-width="0" fill="black"
points="99.466667,199.733333 109.066667,202.133333
99.466667,204.533333" />
<line x1="70.666667" y1="202.133333" x2="106.867677" y2="202.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="92.533333" y="199.466667"><tspan font-style="italic">u</tspan></text>
<rect fill="rgb(153,153,153)"
x="109.066667" y="182.933333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="123.466667" y="206.973333"><tspan font-style="italic">B</tspan></text>
<polygon stroke-width="0" fill="black"
points="166.666667,197.466667 176.266667,202.133333
166.666667,206.8" />
<line stroke-width="4"
x1="137.866667" y1="202.133333" x2="171.692025" y2="202.133333" />
<circle fill="rgb(153,153,153)"
cx="185.866667" cy="202.133333" r="9.6" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="188.533333" y="224.08"
> <tspan font-style="italic">+</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="176.266667" y="196.8">+</text>
<polygon stroke-width="0" fill="black"
points="224.266667,197.466667 233.866667,202.133333
224.266667,206.8" />
<line stroke-width="4"
x1="195.466667" y1="202.133333" x2="229.292025" y2="202.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="214.666667" y="197.64"><tspan font-style="bold">x</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="214.666667" y="190.133333">.</text>
<rect fill="rgb(153,153,153)"
x="233.866667" y="182.933333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="248.266667" y="206.973333"><tspan font-style="italic">I/s</tspan></text>
<polygon stroke-width="0" fill="black"
points="349.066667,197.466667 358.666667,202.133333
349.066667,206.8" />
<line stroke-width="4"
x1="262.666667" y1="202.133333" x2="354.092025" y2="202.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="310.666667" y="197.64"><tspan font-style="bold">x</tspan></text>
<rect fill="rgb(153,153,153)"
x="358.666667" y="182.933333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="373.066667" y="206.973333"><tspan font-style="italic">C</tspan></text>
<line stroke-width="4"
x1="387.466667" y1="202.133333" x2="425.866667" y2="202.133333" />
<polygon stroke-width="0" fill="black"
points="454.666667,197.466667 464.266667,202.133333
454.666667,206.8" />
<line stroke-width="4"
x1="425.866667" y1="202.133333" x2="459.692025" y2="202.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="445.066667" y="197.64"><tspan font-style="bold">y</tspan></text>
<rect fill="rgb(153,153,153)"
x="233.866667" y="240.533333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="248.266667" y="264.573333"><tspan font-style="italic">A</tspan></text>
<polygon stroke-width="0" fill="black"
points="272.266667,264.4 262.666667,259.733333
272.266667,255.066667" />
<polyline stroke-width="4"
points="267.241308,259.733333 301.066667,259.733333
301.066667,202.133333" />
<polygon stroke-width="0" fill="black"
points="181.2,221.333333 185.866667,211.733333
190.533333,221.333333" />
<polyline stroke-width="4"
points="233.866667,259.733333 185.866667,259.733333
185.866667,216.307975" />
<rect fill="rgb(153,153,153)"
x="233.866667" y="298.133333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="248.266667" y="322.173333"><tspan font-style="italic">K</tspan></text>
<polygon stroke-width="0" fill="black"
points="58.666667,221.333333 61.066667,211.733333
63.466667,221.333333" />
<polyline points="233.866667,317.333333 61.066667,317.333333
61.066667,213.932323" />
<rect fill="rgb(230,230,230)"
stroke="none"
x="41.866667" y="346.133333" width="412.8" height="172.8" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="44.533333" y="516.266667"
><tspan font-style="italic">Observer</tspan></text>
<rect fill="rgb(153,153,153)"
x="233.866667" y="355.733333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="248.266667" y="379.773333"><tspan font-style="italic">I/s</tspan></text>
<polygon stroke-width="0" fill="black"
points="224.266667,370.266667 233.866667,374.933333
224.266667,379.6" />
<line stroke-width="4"
x1="229.292025" y1="374.933333" x2="195.466667" y2="374.933333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="214.666667" y="370.44"><tspan font-style="bold">x</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="214.666667" y="370.44">ˆ</text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="214.666667" y="358.093333">.</text>
<circle fill="rgb(153,153,153)"
cx="185.866667" cy="374.933333" r="9.6" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="188.533333" y="396.88"
> <tspan font-style="italic">+</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="176.266667" y="369.6"><tspan font-style="italic">+</tspan></text>
<polygon stroke-width="0" fill="black"
points="166.666667,370.266667 176.266667,374.933333
166.666667,379.6" />
<line stroke-width="4"
x1="171.692025" y1="374.933333" x2="137.866667" y2="374.933333" />
<circle fill="rgb(153,153,153)"
cx="128.266667" cy="374.933333" r="9.6" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="130.933333" y="396.88"
> <tspan font-style="italic">+</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="118.666667" y="369.6"><tspan font-style="italic">+</tspan></text>
<polygon stroke-width="0" fill="black"
points="109.066667,370.266667 118.666667,374.933333
109.066667,379.6" />
<line stroke-width="4"
x1="114.092025" y1="374.933333" x2="80.266667" y2="374.933333" />
<rect fill="rgb(153,153,153)"
x="51.466667" y="355.733333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="65.866667" y="379.773333"><tspan font-style="italic">B</tspan></text>
<polygon stroke-width="0" fill="black"
points="41.866667,372.533333 51.466667,374.933333
41.866667,377.333333" />
<polyline points="80.266667,202.133333 80.266667,173.333333
3.466667,173.333333
3.466667,374.933333
49.267677,374.933333" />
<rect fill="rgb(153,153,153)"
x="233.866667" y="413.333333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="248.266667" y="437.373333"><tspan font-style="italic">A</tspan></text>
<line stroke-width="4"
x1="262.666667" y1="374.933333" x2="301.066667" y2="374.933333" />
<polygon stroke-width="0" fill="black"
points="272.266667,322 262.666667,317.333333
272.266667,312.666667" />
<polygon stroke-width="0" fill="black"
points="272.266667,437.2 262.666667,432.533333
272.266667,427.866667" />
<polyline stroke-width="4"
points="267.241308,317.333333 301.066667,317.333333
301.066667,432.533333
267.241308,432.533333" />
<polygon stroke-width="0" fill="black"
points="181.2,394.133333 185.866667,384.533333
190.533333,394.133333" />
<polyline stroke-width="4"
points="233.866667,432.533333 185.866667,432.533333
185.866667,389.107975" />
<rect fill="rgb(153,153,153)"
x="358.666667" y="355.733333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="373.066667" y="379.773333"><tspan font-style="italic">C</tspan></text>
<polygon stroke-width="0" fill="black"
points="416.266667,370.266667 425.866667,374.933333
416.266667,379.6" />
<line stroke-width="4"
x1="387.466667" y1="374.933333" x2="421.292025" y2="374.933333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="406.666667" y="370.44"><tspan font-style="bold">y</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="406.666667" y="370.44">ˆ</text>
<polygon stroke-width="0" fill="black"
points="349.066667,370.266667 358.666667,374.933333
349.066667,379.6" />
<line stroke-width="4"
x1="301.066667" y1="374.933333" x2="354.092025" y2="374.933333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="329.866667" y="370.44"><tspan font-style="italic">x</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="329.866667" y="370.44">ˆ</text>
<circle fill="rgb(153,153,153)"
cx="435.466667" cy="374.933333" r="9.6" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="438.133333" y="362.666667"><tspan font-style="italic">+</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="425.866667" y="369.6"><tspan font-style="italic">-</tspan></text>
<polygon stroke-width="0" fill="black"
points="440.133333,355.733333 435.466667,365.333333
430.8,355.733333" />
<line stroke-width="4"
x1="435.466667" y1="360.758692" x2="435.466667" y2="202.133333" />
<rect fill="rgb(153,153,153)"
x="233.866667" y="470.933333" width="28.8" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="248.266667" y="494.973333"><tspan font-style="italic">L</tspan></text>
<polygon stroke-width="0" fill="black"
points="272.266667,494.8 262.666667,490.133333
272.266667,485.466667" />
<polyline stroke-width="4"
points="435.466667,384.533333 435.466667,490.133333
267.241308,490.133333" />
<polygon stroke-width="0" fill="black"
points="123.6,394.133333 128.266667,384.533333
132.933333,394.133333" />
<polyline stroke-width="4"
points="233.866667,490.133333 128.266667,490.133333
128.266667,389.107975" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="3.733333" y="555.866667"><tspan font-style="italic">r</tspan></text>
<polygon stroke-width="0" fill="black"
points="29.866667,556.133333 39.466667,558.533333
29.866667,560.933333" />
<line x1="1.066667" y1="558.533333" x2="37.267677" y2="558.533333" />
<circle cx="51.466667" cy="558.533333" r="12" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="48.8" y="582.88"><tspan font-style="italic">-</tspan></text>
<polygon stroke-width="0" fill="black"
points="49.066667,580.133333 51.466667,570.533333
53.866667,580.133333" />
<line x1="51.466667" y1="572.732323" x2="51.466667" y2="589.733333" />
<rect x="33.466667" y="589.733333" width="36" height="24" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="51.466667" y="606.573333"><tspan font-style="italic">K</tspan></text>
<polygon stroke-width="0" fill="black"
points="49.066667,623.333333 51.466667,613.733333
53.866667,623.333333" />
<line x1="51.466667" y1="615.932323" x2="51.466667" y2="632.933333" />
<line x1="51.466667" y1="632.933333" x2="89.866667" y2="632.933333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="70.666667" y="630.266667"
><tspan>ˆ</tspan><tspan dx="-0.9ex"><tspan font-style="bold">x</tspan></tspan></text>
<rect x="89.866667" y="602.933333" width="192" height="60" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="105.466933" y="636.466533"
><tspan dx="0.987654ex"> </tspan><tspan dy="-1.2ex"
dx="0.493827ex"><tspan font-style="italic">d</tspan></tspan><tspan
dy=" 2.6ex"
dx="-1.48148ex"><tspan font-style="italic">dt</tspan></tspan><tspan
dy="-1.4ex" dx="0ex"> </tspan></text>
<line x1="106.693067" y1="632.933333" x2="119.599733" y2="632.933333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="122.2664" y="636.466533"
><tspan>ˆ</tspan><tspan dx="-0.9ex"><tspan font-style="bold">x</tspan></tspan> <tspan font-style="italic">= (A-LC)</tspan> <tspan>ˆ</tspan><tspan dx="-0.9ex"><tspan font-style="bold">x</tspan></tspan>
<tspan font-style="italic">+ Bu + L</tspan><tspan font-style="bold">y</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="92.533333" y="660.266667"
><tspan font-style="italic">Observer</tspan></text>
<polygon stroke-width="0" fill="black"
points="291.466667,620.333333 281.866667,617.933333
291.466667,615.533333" />
<line x1="284.065656" y1="617.933333" x2="301.066667" y2="617.933333" />
<line x1="301.066667" y1="617.933333" x2="301.066667" y2="558.533333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="320.266667" y="555.866667"><tspan font-style="italic">u</tspan></text>
<polygon stroke-width="0" fill="black"
points="329.866667,556.133333 339.466667,558.533333
329.866667,560.933333" />
<line x1="63.466667" y1="558.533333" x2="337.267677" y2="558.533333" />
<rect x="339.466667" y="528.533333" width="108" height="60" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="346.666933" y="552.595933"
><tspan dx="0.987654ex"> </tspan><tspan dy="-1.2ex"
dx="0.493827ex"><tspan font-style="italic">d</tspan></tspan><tspan
dy=" 2.6ex"
dx="-1.48148ex"><tspan font-style="italic">dt</tspan></tspan><tspan
dy="-1.4ex" dx="0ex"> </tspan></text>
<line x1="347.893067" y1="549.062733" x2="360.799733" y2="549.062733" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="363.4664" y="552.595933"
><tspan font-style="bold">x</tspan> <tspan font-style="italic">= A</tspan> <tspan font-style="bold">x</tspan> <tspan font-style="italic">+ Bu</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="366.133067" y="571.955933"
><tspan font-style="bold">y</tspan> <tspan font-style="italic">= C</tspan> <tspan font-style="bold">x</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="342.133333" y="585.866667"><tspan font-style="italic">Plant</tspan></text>
<polygon stroke-width="0" fill="black"
points="476.266667,556.133333 485.866667,558.533333
476.266667,560.933333" />
<line x1="447.466667" y1="558.533333" x2="483.667677" y2="558.533333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="483.2" y="553.209963"><tspan font-style="italic">y</tspan></text>
<line x1="466.666667" y1="558.533333" x2="466.666667" y2="647.933333" />
<polygon stroke-width="0" fill="black"
points="291.466667,650.333333 281.866667,647.933333
291.466667,645.533333" />
<line x1="466.666667" y1="647.933333" x2="284.065656" y2="647.933333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="3.733333" y="681.92176"
>(b) Plant with feedback from a full-order observer</text>
<polygon stroke-width="0" fill="black"
points="29.866667,766.133333 39.466667,768.533333
29.866667,770.933333" />
<line x1="1.066667" y1="768.533333" x2="37.267677" y2="768.533333" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="19.167172" y="765.866667"
><tspan font-style="italic">E<tspan font-size="70%"
dy="0.66ex" dx="">1</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></tspan></text>
<circle cx="51.466667" cy="768.533333" r="12" />
<line x1="42.981385" y1="760.048052" x2="59.951948" y2="777.018615" />
<line x1="42.981385" y1="777.018615" x2="59.951948" y2="760.048052" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="51.466667" y="766.173333"><tspan font-style="italic"></tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="51.466667" y="780.573333"><tspan font-style="italic">-</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="58.666667" y="773.373333"><tspan font-style="italic"></tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="44.266667" y="773.373333"><tspan font-style="italic">+</tspan></text>
<polygon stroke-width="0" fill="black"
points="73.066667,766.133333 82.666667,768.533333
73.066667,770.933333" />
<line x1="63.466667" y1="768.533333" x2="80.467677" y2="768.533333" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="71.967172" y="765.866667">ε</text>
<rect x="82.666667" y="749.333333" width="38.4" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="101.866667" y="773.373333"
><tspan font-style="italic">H</tspan><tspan font-size="70%"
dy="0.66ex" dx="">1</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<polygon stroke-width="0" fill="black"
points="130.666667,766.133333 140.266667,768.533333
130.666667,770.933333" />
<line x1="121.066667" y1="768.533333" x2="138.067677" y2="768.533333" />
<rect x="140.266667" y="749.333333" width="38.4" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="159.466667" y="773.373333"
><tspan font-style="italic">H</tspan><tspan font-size="70%"
dy="0.66ex" dx="">2</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<polygon stroke-width="0" fill="black"
points="188.266667,766.133333 197.866667,768.533333
188.266667,770.933333" />
<line x1="178.666667" y1="768.533333" x2="195.667677" y2="768.533333" />
<circle cx="209.866667" cy="768.533333" r="12" />
<line x1="201.381385" y1="760.048052" x2="218.351948" y2="777.018615" />
<line x1="201.381385" y1="777.018615" x2="218.351948" y2="760.048052" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="209.866667" y="766.173333"><tspan font-style="italic">-</tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="209.866667" y="780.573333"><tspan font-style="italic"></tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="217.066667" y="773.373333"><tspan font-style="italic"></tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="202.666667" y="773.373333"><tspan font-style="italic">+</tspan></text>
<polygon stroke-width="0" fill="black"
points="231.466667,766.133333 241.066667,768.533333
231.466667,770.933333" />
<line x1="221.866667" y1="768.533333" x2="238.867677" y2="768.533333" />
<rect x="241.066667" y="749.333333" width="38.4" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="260.266667" y="773.373333"
><tspan font-style="italic">H</tspan><tspan font-size="70%"
dy="0.66ex" dx="">3</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<polygon stroke-width="0" fill="black"
points="289.066667,766.133333 298.666667,768.533333
289.066667,770.933333" />
<line x1="279.466667" y1="768.533333" x2="296.467677" y2="768.533333" />
<rect x="298.666667" y="749.333333" width="38.4" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="317.866667" y="773.373333"
><tspan font-style="italic">H</tspan><tspan font-size="70%"
dy="0.66ex" dx="">4</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<line x1="337.066667" y1="768.533333" x2="356.266667" y2="768.533333" />
<polygon stroke-width="0" fill="black"
points="365.866667,766.133333 375.466667,768.533333
365.866667,770.933333" />
<line x1="356.266667" y1="768.533333" x2="373.267677" y2="768.533333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="375.466667" y="765.866667"
><tspan font-style="italic">S</tspan><tspan font-size="70%"
dy="0.66ex" dx="">1</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<rect x="269.866667" y="691.733333" width="38.4" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="289.066667" y="715.773333"
><tspan font-style="italic">R</tspan><tspan font-size="70%"
dy="0.66ex" dx="">1</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<polygon stroke-width="0" fill="black"
points="317.866667,713.333333 308.266667,710.933333
317.866667,708.533333" />
<polyline points="356.266667,768.533333 356.266667,710.933333
310.465656,710.933333" />
<polygon stroke-width="0" fill="black"
points="212.266667,746.933333 209.866667,756.533333
207.466667,746.933333" />
<polyline points="269.866667,710.933333 209.866667,710.933333
209.866667,754.334344" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="212.533333" y="742.173333"
><tspan font-style="italic">n</tspan><tspan font-size="70%"
dy="0.66ex" dx="">1</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<rect x="179.866667" y="806.933333" width="38.4" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="199.066667" y="830.973333"
><tspan font-style="italic">R</tspan><tspan font-size="70%"
dy="0.66ex" dx="">2</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<polygon stroke-width="0" fill="black"
points="170.266667,828.533333 160.666667,826.133333
170.266667,823.733333" />
<line x1="179.866667" y1="826.133333" x2="162.865656" y2="826.133333" />
<rect x="122.266667" y="806.933333" width="38.4" height="38.4" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="141.466667" y="830.973333"
><tspan font-style="italic">R</tspan><tspan font-size="70%"
dy="0.66ex" dx="">3</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<polygon stroke-width="0" fill="black"
points="227.866667,828.533333 218.266667,826.133333
227.866667,823.733333" />
<polyline points="289.066667,768.533333 289.066667,826.133333
220.465656,826.133333" />
<polygon stroke-width="0" fill="black"
points="49.066667,790.133333 51.466667,780.533333
53.866667,790.133333" />
<polyline points="122.266667,826.133333 51.466667,826.133333
51.466667,782.732323" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="54.133333" y="804.573333"
><tspan font-style="italic">n</tspan><tspan font-size="70%"
dy="0.66ex" dx="">2</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="3.733333" y="864.32176">(c) A multiblock example</text>
<rect x="19.066667" y="892.133333" width="64.8" height="36" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="51.466667" y="907.64">reference</text>
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="51.466667" y="922.306667"><tspan font-style="italic">R</tspan></text>
<polygon stroke-width="0" fill="black"
points="125.466667,907.733333 135.066667,910.133333
125.466667,912.533333" />
<line x1="83.866667" y1="910.133333" x2="132.867677" y2="910.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="109.466667" y="904.24"
><tspan font-style="italic">y</tspan><tspan font-size="70%"
dy="0.66ex" dx="">c</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan>[ref]</text>
<rect x="135.066667" y="892.133333" width="64.8" height="36" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="167.466667" y="907.64">"inverse"</text>
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="167.466667" y="922.306667">of <tspan font-style="italic">G</tspan></text>
<polygon stroke-width="0" fill="black"
points="169.866667,966.533333 167.466667,976.133333
165.066667,966.533333" />
<line x1="167.466667" y1="928.133333" x2="167.466667" y2="973.934344" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" text-anchor="start"
x="170.133333" y="955.873838"
><tspan font-style="italic">y</tspan><tspan font-size="70%"
dy="0.66ex" dx="">m</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan>[ref]</text>
<circle cx="167.466667" cy="988.133333" r="12" />
<polygon stroke-width="0" fill="black"
points="208.266667,985.733333 217.866667,988.133333
208.266667,990.533333" />
<line x1="179.466667" y1="988.133333" x2="215.667677" y2="988.133333" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="197.567172" y="985.466667"><tspan font-style="italic">e</tspan></text>
<rect x="217.866667" y="970.133333" width="64.8" height="36" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="250.266667" y="985.64">stabilizer</text>
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="250.266667" y="1000.306667"><tspan font-style="italic">K</tspan></text>
<polygon stroke-width="0" fill="black"
points="311.466667,985.733333 321.066667,988.133333
311.466667,990.533333" />
<line x1="282.666667" y1="988.133333" x2="318.867677" y2="988.133333" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="300.767172" y="985.466667">δu</text>
<circle cx="333.066667" cy="988.133333" r="12" />
<line x1="199.866667" y1="910.133333" x2="333.066667" y2="910.133333" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="266.466667" y="907.466667"
><tspan font-style="italic">u</tspan>[ref]</text>
<polygon stroke-width="0" fill="black"
points="335.466667,966.533333 333.066667,976.133333
330.666667,966.533333" />
<line x1="333.066667" y1="910.133333" x2="333.066667" y2="973.934344" />
<polygon stroke-width="0" fill="black"
points="373.866667,985.733333 383.466667,988.133333
373.866667,990.533333" />
<line x1="345.066667" y1="988.133333" x2="381.267677" y2="988.133333" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="363.167172" y="985.466667"><tspan font-style="italic">u</tspan></text>
<rect x="383.466667" y="970.133333" width="64.8" height="36" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="415.866667" y="985.64">plant</text>
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="415.866667" y="1000.306667"><tspan font-style="italic">G</tspan></text>
<polygon stroke-width="0" fill="black"
points="418.266667,960.533333 415.866667,970.133333
413.466667,960.533333" />
<line x1="415.866667" y1="967.934344" x2="415.866667" y2="952.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="415.866667" y="949.466667"
>disturbance <tspan font-style="italic">z</tspan></text>
<polygon stroke-width="0" fill="black"
points="477.066667,976.733333 486.666667,979.133333
477.066667,981.533333" />
<line x1="448.266667" y1="979.133333" x2="484.467677" y2="979.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="489.333333" y="983.973333"
><tspan font-style="italic">y</tspan><tspan font-size="70%"
dy="0.66ex" dx="">c</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<polygon stroke-width="0" fill="black"
points="477.066667,994.733333 486.666667,997.133333
477.066667,999.533333" />
<line x1="448.266667" y1="997.133333" x2="484.467677" y2="997.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="489.333333" y="1001.973333"
><tspan font-style="italic">y</tspan><tspan font-size="70%"
dy="0.66ex" dx="">m</tspan><tspan
font-size="70%" dy="-0.66ex"
dx="-0.5ex"> </tspan></text>
<polygon stroke-width="0" fill="black"
points="165.066667,1009.733333 167.466667,1000.133333
169.866667,1009.733333" />
<polyline points="467.466667,997.133333 467.466667,1030.133333
167.466667,1030.133333
167.466667,1002.332323" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="end"
x="164.8" y="1012.48"><tspan font-style="italic">-</tspan></text>
<polygon stroke-width="0" fill="black"
points="49.066667,937.733333 51.466667,928.133333
53.866667,937.733333" />
<line x1="51.466667" y1="930.332323" x2="51.466667" y2="976.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
x="51.466667" y="990.573333"
><tspan font-style="italic">W</tspan> control input</text>
<polyline stroke-dasharray="5.6,4"
points="1.066667,874.133333 354.666667,874.133333
354.666667,1060.133333" />
<line stroke-dasharray="5.6,4"
x1="354.666667" y1="1060.133333" x2="135.066667" y2="1060.133333" />
<text font-size="11pt" stroke-width="0.2pt" fill="black" x="244.866667" y="1057.466667">Controller</text>
<line stroke-dasharray="5.6,4"
x1="135.066667" y1="1060.133333" x2="135.066667" y2="946.133333" />
<polyline stroke-dasharray="5.6,4"
points="135.066667,946.133333 1.066667,946.133333
1.066667,874.133333" />
<text font-size="11pt" stroke-width="0.266667"
fill="black"
text-anchor="start"
x="3.733333" y="1079.12176"
>(d) Nonlinear feedforward (for performance) and small-signal feedback
(for stability)</text>
</g>
</g></svg>
|