Fuzzy integral Lyapunov function based fuzzy control for Takagi-Sugeno fuzzy systems with passive constraints

Author

Wen-Jer Chang ; Yao-Chung Chang

Author_Institution

Dept. of Marine Eng., Nat. Taiwan Ocean Univ., Keelung, Taiwan

fYear

2013

fDate

12-14 June 2013

Firstpage

1336

Lastpage

1341

Abstract

This paper studies the line-integral fuzzy Lyapunov function based fuzzy controller design for continuous-time Takagi-Sugeno fuzzy systems with multiplicative noises. For stability analysis and synthesis, the sufficient conditions are derived via line-integral fuzzy Lyapunov functions. These conditions belong to the linear matrix inequality forms which can be solved by the convex optimal programming algorithm. In addition, the passivity theory is utilized to deal with the effect of external disturbance in the system. Finally, a numerical example is supplied to show the usefulness and effectiveness of the proposed design method.

Keywords

Lyapunov methods; control system synthesis; convex programming; fuzzy control; linear matrix inequalities; stability; continuous-time Takagi-Sugeno fuzzy systems; convex optimal programming algorithm; external disturbance; fuzzy controller design; line-integral fuzzy Lyapunov function; linear matrix inequality; multiplicative noises; passive constraints; passivity theory; stability analysis; stability synthesis; sufficient conditions; Asymptotic stability; Fuzzy systems; Linear matrix inequalities; Lyapunov methods; Noise; Numerical stability; Stability analysis; Fuzzy Integral Lyapunov Function; Passive Constraint; Takagi-Sugeno fuzzy Model;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (ICCA), 2013 10th IEEE International Conference on

Conference_Location

Hangzhou

ISSN

1948-3449

Print_ISBN

978-1-4673-4707-5

Type

conf

DOI

10.1109/ICCA.2013.6564967

Filename

6564967