Fuzzy impulsive control with application to chaos control

Author

Zamani, Iman ; Shafie, Masoud

Author_Institution

Dept. of Electr. Eng., Amirkabir Univ. of Technol., Tehran, Iran

fYear

2009

Firstpage

338

Lastpage

343

Abstract

This paper investigates the stability and stabilization problem for fuzzy impulsive controller in which the fuzzy system is presented by Takagi-Sugeno model. Based on Lyapunov criterion, some conditions are derived under which the whole fuzzy impulsive controller is stabilized asymptotically and exponentially in term of some matrix inequalities. Finally, a chaotic example is given to illustrate the proposed method and its effectiveness.

Keywords

Lyapunov methods; asymptotic stability; differential equations; fuzzy control; fuzzy systems; matrix algebra; nonlinear control systems; Lyapunov criterion; Takagi-Sugeno model; asymptotic stability; chaos control; differential equation; fuzzy impulsive control; fuzzy system; matrix inequality; stabilization problem; Chaos; Chaotic communication; Communication system control; Control systems; Differential equations; Fuzzy control; Fuzzy systems; Optimal control; Stability analysis; Takagi-Sugeno model; Fuzzy impulsive control; fuzzy chaotic model; impulsive differential equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on

Conference_Location

Jeju Island

ISSN

1098-7584

Print_ISBN

978-1-4244-3596-8

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2009.5277129

Filename

5277129