An LMI approach to design performance robustness for linear uncertain time-delay systems

Author

Lu, Chien-Yu ; Tasi, Jason Sheng-Hong ; Su, Te-Jen

Author_Institution

Dept. of Electr. Eng., Nat. Cheng-Kung Univ., Tainan, Taiwan

Volume

5

fYear

2001

fDate

2001

Firstpage

4012

Abstract

The uncertain systems considered in this paper have norm-bounded time-varying parameric uncertainty and a given quadratic cost function. Based on Lyapunov-Krasovskii functionals combined with LMI techniques, the existence of guaranteed cost controllers is derived. Furthermore, the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed loop uncertain system is introduced as well

Keywords

Lyapunov methods; control system synthesis; delay systems; linear systems; matrix algebra; minimisation; optimal control; robust control; time-varying systems; uncertain systems; LMI; Lyapunov-Krasovskii functionals; closed loop uncertain system; guaranteed cost minimization; linear uncertain time-delay systems; norm-bounded time-varying parameric uncertainty; optimal guaranteed cost controller; performance robustness design; quadratic cost function; Control systems; Cost function; Delay effects; Riccati equations; Robust control; Robustness; Symmetric matrices; Time varying systems; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.946314

Filename

946314