The Response of the System Incorporating an Observer in the Control Loop1

Transition processes in the SISO system incorporating an observer in the control loop are discussed. The symmetry of the transition matrix with respect to the eigenvalues assigned for the controller and the observer is proved using state space methods. The interrelation with the peaking phenomenon is discussed, asymptotic behavior of the system with a fast observer is analyzed, and illustrative examples are presented. [S0022-0434(00)02102-X]