Robust stabilization of optimal T-S fuzzy control systems

Author

Xue, Hua ; Wang, Yufei

Author_Institution

Dept. of Electr. Eng., Shanghai Univ. of Electr. Power, Shanghai, China

Volume

2

fYear

2011

fDate

8-9 Sept. 2011

Firstpage

385

Lastpage

388

Abstract

This paper deals with the stability analysis and control law design of a class of fuzzy systems. By taking advantage of the structure information of the premise rule base, piecewise fuzzy Lyapunov function is proposed. Based on the piecewise fuzzy Lyapunov function, a control design method for stabilization of fuzzy system is derived in the format of linear inequality matrix (LMI). This method reduces the conservatism of both piecewise Lyapunov function and fuzzy Lyapunov function. The stability condition obtained is more relaxed and the control system has good performance. The efficiency of the method is illustrated through the simulation of some numerical examples.

Keywords

fuzzy control; power system control; power system stability; control design method; control law design; linear inequality matrix; optimal T-S fuzzy control systems; piecewise fuzzy Lyapunov function; robust stabilization; stability analysis; stability condition; Control systems; Cybernetics; Fuzzy control; Linear matrix inequalities; Lyapunov methods; Stability analysis; Lyapunov stability; Takagi-Sugeno (T-S) fuzzy model; robust optimal control;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Engineering and Automation Conference (PEAM), 2011 IEEE

Conference_Location

Wuhan

Print_ISBN

978-1-4244-9691-4

Type

conf

DOI

10.1109/PEAM.2011.6134966

Filename

6134966