When is a linear robust regulator optimal?

Author

Kogan, Mark M.

Author_Institution

Theory of Control & Dynamics of Machines, Nizhni Novgorod State Univ., Russia

Volume

1

fYear

1997

fDate

4-6 Jun 1997

Firstpage

356

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;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.611818

Filename

611818