Robust H∞ control for fuzzy descriptor systems with time-varying delay and parameter uncertainties

Author

Gong, Chang-zhong ; Shao, Jin-sheng

Author_Institution

Coll. of Sci., Civil Aviation Univ. of China, Tianjing, China

Volume

2

fYear

2010

fDate

11-14 July 2010

Firstpage

642

Lastpage

648

Abstract

This paper discusses the problems of robust quadratic stability and robust H∞ control for a class of fuzzy descriptor systems with time-varying delay and parameter uncertainties. Base on the definition which is given by the Weihua Tian et al, according to the theory of Lyapunov, the sufficient conditions, which maintain the stability of the closed-loop and satisfy the H∞-performance are proved. These conditions are expressed via LMIs. So the feedback gain matrix can be obtained easily by solving the LMIs.

Keywords

H^∞ control; Lyapunov methods; closed loop systems; delays; feedback; fuzzy systems; linear matrix inequalities; robust control; time-varying systems; LMI; Lyapunov theory; closed-loop system; feedback gain matrix; fuzzy descriptor systems; parameter uncertainties; robust H∞ control; robust quadratic stability; time-varying delay; Bismuth; Delay; Lyapunov method; Robustness; Stability analysis; Symmetric matrices; Uncertain systems; Linear matrix inequality; Parameter uncertainties; Robust H∞ control; T-S Fuzzy descriptor systems; Time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics (ICMLC), 2010 International Conference on

Conference_Location

Qingdao

Print_ISBN

978-1-4244-6526-2

Type

conf

DOI

10.1109/ICMLC.2010.5580552

Filename

5580552