Delayed State-Feedback Fuzzy Controller Design for Chaotic Mapping

Author

Shao, Shiquan ; Liu, Xingwen ; Gao, Xin

Author_Institution

Sch. of Electr. & Inf. Eng., Southwest Univ. for Nationalities of China, Sichuan

Volume

4

fYear

2006

fDate

25-28 June 2006

Firstpage

2398

Lastpage

2400

Abstract

In this paper, we propose a new delayed state-feedback chaotic mapping control approach. This approach uses Takagi-Sugeno fuzzy model to represent original chaotic system and adopts parallel distributed compensation (PDC) scheme via delayed state feedback. Result obtained in this paper is represented in terms of linear matrix inequalities (LMIs), thus designing controller becomes very convenient. This method works well for any chaotic mapping. An example is given to demonstrate its application to Henon mapping

Keywords

Henon mapping; chaos; fuzzy control; linear matrix inequalities; state feedback; Henon mapping; LMI; PDC; Takagi-Sugeno fuzzy model; chaotic mapping; delayed state-feedback fuzzy controller design; linear matrix inequalities; parallel distributed compensation; Chaos; Delay; Design engineering; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Nonlinear dynamical systems; Nonlinear systems; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Circuits and Systems Proceedings, 2006 International Conference on

Conference_Location

Guilin

Print_ISBN

0-7803-9584-0

Electronic_ISBN

0-7803-9585-9

Type

conf

DOI

10.1109/ICCCAS.2006.285160

Filename

4064407