A new parameter-dependent Lyapunov function approach for robust control

Author

Cheng-Chang Ho ; Yung-Shan Chou ; Fan-Ren Chang

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

fYear

2014

fDate

11-13 July 2014

Firstpage

50

Lastpage

55

Abstract

In this paper, we extends the existing results on the H∞ control for continuous-time T-S (Takagi-Sugeno) fuzzy systems. A new fuzzy Lyapunov function is considered for ensuring system stability and guaranteed H∞ performance with parallel distributed compensation (PDC). In addition, two slack variables are introduced to provide extra free dimensions in the solution space for the H∞ control problem. This together with the freedom provided by the fuzzy Lyapunov function directly leads to performance improvement and reduction of conservativeness. A numerical example of the control of an inverted pendulum and cart system is given to demonstrate the effectiveness of the proposed method. Comparisons with some of the existing methods are provided.

Keywords

H^∞ control; Lyapunov matrix equations; Lyapunov methods; continuous time systems; fuzzy control; nonlinear control systems; robust control; H∞ control problem; continuous-time T-S fuzzy system; continuous-time Takagi-Sugeno fuzzy system; fuzzy Lyapunov function; inverted pendulum; parallel distributed compensation; parameter-dependent Lyapunov function approach; robust control; Takagi-Sugeno model; Fuzzy systems; H∞ control; Linear matrix inequality (LMI); Parameter-dependent Lyapunov function;

fLanguage

English

Publisher

ieee

Conference_Titel

System Science and Engineering (ICSSE), 2014 IEEE International Conference on

Conference_Location

Shanghai

Type

conf

DOI

10.1109/ICSSE.2014.6887903

Filename

6887903