Robust H∞ control of fuzzy system with multiple time-varying delays

Author

Liu, Xiu-Jun ; Du, Xiao-ming ; Zhou, Chang-Jie ; Qiu, Ji-qing ; Li, Jie ; Lu, Ji-Young

Author_Institution

Coll. of Sci., Hebei Univ. of Sci. & Technol., Shijiazhuang, China

Volume

5

fYear

2009

fDate

12-15 July 2009

Firstpage

2651

Lastpage

2656

Abstract

This paper discusses the stabilization problem for nonlinear systems with multiple time-varying delays through Takagi-Sugeno(T-S) fuzzy model approach. At first, delays-dependent criterion for fuzzy system with parameter uncertainties is proposed to design the H_infin control. Based on the Lyapunov-Krasovskii functional approach, we gain the theory for fuzzy system without parameter uncertainties in terms of linear matrix inequalities (LMIs). At last, a numerical example is given to illustrate the effectiveness of the proposed method.

Keywords

H^infin control; control system synthesis; delays; fuzzy control; fuzzy systems; linear matrix inequalities; numerical analysis; robust control; time-varying systems; LMI; Lyapunov-Krasovskii functional approach; Takagi-Sugeno fuzzy model approach; delays-dependent criterion; fuzzy system; linear matrix inequalities; multiple time-varying delays; nonlinear systems; robust H_infin control; stabilization problem; Cybernetics; Machine learning; Robustness; H∞ fuzzy system; Multiple time-varying delays; linear matrix inequalities; norm-bounded uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2009 International Conference on

Conference_Location

Baoding

Print_ISBN

978-1-4244-3702-3

Electronic_ISBN

978-1-4244-3703-0

Type

conf

DOI

10.1109/ICMLC.2009.5212125

Filename

5212125