Designing stabilizing regulators for chaotic systems using repeated weighted boosting search method

Author

Hoseini, S. Amir ; Torghabeh, Ramezan Paravi ; Kaveh, Mahdi ; Khaloozadeh, Hamid

Author_Institution

K.N. Toosi Univ. of Technol., Tehran

fYear

2009

fDate

17-18 Feb. 2009

Firstpage

1

Lastpage

6

Abstract

In this paper, a new approach for designing regulators is proposed to stabilize highly nonlinear chaotic systems. The Takagi-Sugeno (T-S) model is adopted to model chaotic system. To stabilize the nonlinear system, an optimal state feedback is derived to minimize a quadratic cost function based on a global search method. The repeated weighted boosting search (RWBS) method, which is extremely rapid and easy to implement, is used to find the optimal state feedback parameters. The efficiency of proposed method is demonstrated by implementing it to regulate the chaotic Lorenz system.

Keywords

feedback; nonlinear control systems; optimal control; search problems; stability; Takagi-Sugeno model; chaotic Lorenz system; global search method; nonlinear chaotic systems; optimal state feedback parameters; quadratic cost function; repeated weighted boosting search method; stabilizing regulators; Boosting; Chaos; Fuzzy systems; Nonlinear systems; Regulators; Search methods; Signal processing algorithms; Sliding mode control; State feedback; Takagi-Sugeno model; Chaotic Lorenz system; Linear Quadratic Regulator; RWBS method; Stabilization; Takagi-Sugeno (T-S) model; optimization;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer, Control and Communication, 2009. IC4 2009. 2nd International Conference on

Conference_Location

Karachi

Print_ISBN

978-1-4244-3313-1

Electronic_ISBN

978-1-4244-3314-8

Type

conf

DOI

10.1109/IC4.2009.4909159

Filename

4909159