File: ppol.cat

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PPOL             Scilab Group             Scilab Function              PPOL
NAME
   ppol - pole placement
  
CALLING SEQUENCE
 [K]=ppol(A,B,poles)
PARAMETERS
 A,B        : real matrices of dimensions nxn and nxm.
            
 poles      : real or complex vector of dimension n.
            
 K          : real matrix (negative feedback gain)
            
DESCRIPTION
   K=ppol(A,B,poles) returns a mxn gain matrix K such that the eigenvalues
  of A-B*K are poles. The pair (A,B) must be controllable. Complex number
  in poles must appear in conjugate pairs.
  
   An output-injection gain F for (A,C) is obtained as follows:
  
   Ft=ppol(A',C',poles);  F=Ft'
  
   The algorithm is by P.H. Petkov.
  
EXAMPLE
 A=rand(3,3);B=rand(3,2);
 F=ppol(A,B,[-1,-2,-3]);
 spec(A-B*F)
SEE ALSO
   canon, stabil