Fuzzy control for T-S fuzzy bilinear systems with time-delay in state and control input

Author

Chen, Ta-Tau ; Tsai, Shun-Hung ; Tsai, Kun-Lin ; Li, Ching-Lun

Author_Institution

Dept. of Electr. Eng., Kun Shan Univ., Tainan, Taiwan

fYear

2011

fDate

8-10 June 2011

Firstpage

346

Lastpage

351

Abstract

This paper discusses the control problem for a class of Takagi-Sugeno (T-S) fuzzy bilinear systems with time-varying state and input delays. Utilizing the parallel distributed compensation (PDC), an overall fuzzy controller is designed to stabilize the T-S fuzzy bilinear systems with time-varying state and input delays. In addition, based on a Lyapunov-Krasoviskii function, the delay-dependent stabilization conditions are proposed in terms of linear matrix inequality to guarantee the asymptotic stabilization of T-S fuzzy bilinear systems with time-varying state and input delays. Finally, a numerical example is illustrated to demonstrate the feasibility and effectiveness of the proposed schemes.

Keywords

Lyapunov methods; asymptotic stability; compensation; control system synthesis; delays; fuzzy control; linear matrix inequalities; linear systems; nonlinear control systems; Lyapunov-Krasoviskii function; Takagi-Sugeno bilinear systems; asymptotic stability; control delay; delay-dependent stabilization condition; fuzzy control design; linear matrix inequality; parallel distributed compensation; state delay; time delay; Delay; Fuzzy control; Nonlinear systems; Numerical models; Stability analysis; Time varying systems; Fuzzy Control; Fuzzy bilinear system (FBS); Input-delay; Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

System Science and Engineering (ICSSE), 2011 International Conference on

Conference_Location

Macao

Print_ISBN

978-1-61284-351-3

Electronic_ISBN

978-1-61284-472-5

Type

conf

DOI

10.1109/ICSSE.2011.5961926

Filename

5961926