Title :
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
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;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946314
