Design of Robust Controller Using Perfect Regulation and Perfect Observation

This paper proposes a procedure for recovering asymptotically the robustness of the optimal output feedback system via perfect regulation and perfect observation. The duality between the perfect regulation and the perfect observation is fully exploited to treat both of the return difference matrices at the plant input and at the plant output. Explicit expressions of these return difference matrices are derived and their asymptotic properties are examined. A simple algorithm for perfect regulation is given based on the coprime matrix fraction description. Some numerical results are given to illustrate the theory.

[1]  P. Falb,et al.  Invariants and Canonical Forms under Dynamic Compensation , 1976 .

[2]  G. Stein,et al.  Robustness with observers , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[3]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[4]  H. Kimura A new approach to the perfect regulation and the bounded peaking in linear multivariable control systems , 1981 .

[5]  Michael Athans,et al.  Gain and phase margin for multiloop LQG regulators , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.