Fuzzy Control of Piezoelectric Systems with Input Time Delay by Piecewise Lyapunov Functions Approach

Author

Yu, Gwo-Ruey ; Liu, Shih-Wei

Author_Institution

Nat. Ilan Univ., Ilan

fYear

2007

fDate

5-7 Sept. 2007

Firstpage

253

Lastpage

253

Abstract

This paper presents piecewise Lyapunov functions applied to analyze the stabilization of a piezoelectric actuator system with input time delay. Furthermore, a stability theorem is proposed to relax the limit conditions. The piezoelectric actuator system is represented by the Takagi-Sugeno (T-S) fuzzy model. According to the developed stability theorem, we find the feasible solution of feedback gains by linear matrix inequalities (LMI) and employ the strategy of parallel distributed compensation (PDC) to control the piezoelectric actuator system with input time delay.

Keywords

Lyapunov methods; delays; fuzzy control; fuzzy set theory; linear matrix inequalities; piezoelectric actuators; stability; feedback gains; fuzzy control; linear matrix inequalities; parallel distributed compensation; piecewise Lyapunov functions approach; piezoelectric actuator system stabilization; stability theorem; time delay; Delay effects; Feedback; Fuzzy control; Fuzzy systems; Gain; Linear matrix inequalities; Lyapunov method; Piezoelectric actuators; Stability; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Innovative Computing, Information and Control, 2007. ICICIC '07. Second International Conference on

Conference_Location

Kumamoto

Print_ISBN

0-7695-2882-1

Type

conf

DOI

10.1109/ICICIC.2007.322

Filename

4427898