Title :
Robust dissipative control for a class of uncertain time-delay systems
Author :
Li, Zhihu ; Shao, Huihe ; Wang, Jingcheng
Author_Institution :
Dept. of Autom., Jiao Tong Univ., Shanghai, China
Abstract :
This paper focuses on a class of linear time-delay systems with dissipative uncertainty. We are concerned with the design of dissipative static state feedback controllers such that the closed-loop system is robustly asymptotically stable and, strictly (Q, S, R)-dissipative. Sufficient conditions for the existence of the quadratic dissipative state feedback controllers are obtained by using a linear matrix inequality (LMI) approach. It is shown that the solvability of dissipative controller design problem is implied by the feasibility of LMI. The main results of this paper unify the existing results on H∞ control and passive control
Keywords :
H∞ control; asymptotic stability; closed loop systems; control system synthesis; controllability; delay systems; linear systems; robust control; state feedback; uncertain systems; H∞ control; LMI; closed-loop system; controllability of dissipative; dissipative controller design; dissipative static state feedback controller design; linear matrix inequality; linear time-delay systems; passive control; quadratic dissipative state feedback controllers; robust asymptotic stability; robust dissipative control; strict (Q, S, R) dissipativity; uncertain time-delay systems; Automatic control; Automation; Circuits; Control systems; Linear feedback control systems; Linear matrix inequalities; Robust control; State feedback; Symmetric matrices; 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.2001.946309
