Title :
H∞ control for linear systems with interval time-varying delay
Author :
Dou Xiaochao ; Wang Xiaofeng ; Zhang Ying ; Wang Lei
Author_Institution :
Shenzhen Grad. Sch., Harbin Inst. of Technol., Shenzhen, China
Abstract :
This paper considers the H∞ control for a class of interval time-varying delay systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) technique, a delay-dependent stability condition with less conservatism and H∞ performance criterion is proposed by using the idea of delay partition and convex optimization approach. Furthermore, state feedback H∞ controller design is presented. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed results.
Keywords :
H∞ control; Lyapunov methods; control system synthesis; convex programming; delays; linear matrix inequalities; linear systems; stability; state feedback; time-varying systems; H∞ performance criterion; LMI technique; Lyapunov stability theory; convex optimization approach; delay partition; delay-dependent stability condition; interval time-varying delay; linear matrix inequality technique; linear systems; state feedback H∞ controller design; Abstracts; Control systems; Delays; Educational institutions; Electronic mail; Linear systems; Time-varying systems; Conservatism; H∞ control; LMI; Time-delay system;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
