Title :
Robust delay-dependent stability of polytopic systems with interval time-varying delay
Author :
Shen, Chao ; Dimirovski, Georgi M. ; Jing, Yuanwei ; Zheng, Yan
Author_Institution :
Fac. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
This paper concerns the problem of robust stability analysis for a polytopic system with interval time-varying delay via parameter-dependent Lyapunov functions. By a relaxation approach with slack matrices and a descriptor model transformation of the system, the product between Lyapunov variables and the system matrices is eliminated. With this feature, a delay-dependent robust stability criterion is expressed as a set of linear matrix inequalities (LMIs). Compared with the results based on parameter-independent Lyapunov functions, this is promising for less conservatism. Two numerical examples are included to illustrate the effectiveness of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; robust control; time-varying systems; LMI; asymptotic stability; descriptor model transformation; interval time-varying delay; linear matrix inequality; parameter-dependent Lyapunov function; polytopic system; robust delay-dependent stability analysis; slack matrix; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Lyapunov method; Robust control; Robust stability; Stability analysis; Stability criteria; Time varying systems;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5159894