Title :
When is a linear robust regulator optimal?
Author_Institution :
Theory of Control & Dynamics of Machines, Nizhni Novgorod State Univ., Russia
Abstract :
The inverse problem of optimal robust control is solved for linear continuous-time systems whose uncertain parameters are either norm bounded or linear combinations. More precisely, the necessary and sufficient conditions are given in both time and frequency domains for a given linear robust regulator to be optimal with respect to some quadratic performance index depending certain parameters. An estimate for a deterioration of the performance index in the presence of uncertainties is obtained
Keywords :
frequency-domain analysis; linear systems; optimal control; performance index; robust control; time-domain analysis; uncertain systems; frequency domain; inverse problem; linear continuous-time systems; linear robust regulator; necessary and sufficient conditions; norm-bounded uncertain parameters; optimal robust control; quadratic performance index; time domain; Frequency domain analysis; Inverse problems; Lyapunov method; Optimal control; Performance analysis; Regulators; Robust control; Robust stability; Robustness; Uncertainty;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611818
