Robust sliding mode control for fuzzy conjugate Lorenz chaotic system

Author

Cui, Lili ; Wei, Shutao ; Huang, Lijia

Author_Institution

Shanghai Second Polytech. Univ., Shanghai

fYear

2008

fDate

2-4 July 2008

Firstpage

2621

Lastpage

2625

Abstract

The conjugate Lorenz chaotic system is a newly coined chaotic system. In this paper, the Takagi-Sugeno (T-S) fuzzy model for the chaotic system is presented; then based on Lyapunov stability theory and using the linear matrix inequalities (LMIs) technique, the robust sliding mode controller for the T-S fuzzy conjugate Lorenz system with uncertainties was designed. The obtained sliding mode controller guarantees the global fuzzy conjugate Lorenz system confined on the sliding surface is asymptotically stable. Finally, numerical simulations are given to illuminate the effectiveness of the theoretical results.

Keywords

Lyapunov methods; fuzzy control; linear matrix inequalities; nonlinear control systems; numerical analysis; robust control; variable structure systems; LMIs; Lyapunov stability theory; T-S fuzzy model; Takagi-Sugeno fuzzy model; conjugate Lorenz chaotic system; linear matrix inequalities; numerical simulations; robust sliding mode control; Chaos; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Robust control; Robust stability; Sliding mode control; Takagi-Sugeno model; Uncertainty; Chaos; Conjugate Lorenz Chaotic System; Sliding Mode Control; T-S Fuzzy model;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4597800

Filename

4597800