A novel chaos control scheme with optimality

Author

Zhang, Linhua ; Yang, Zhichun

Author_Institution

Dept. of Math. & Comput., Chongqing Normal Univ., Chongqing

fYear

2008

fDate

25-27 June 2008

Firstpage

4693

Lastpage

4696

Abstract

The optimality of chaos control is investigated. In the drive-response regime, the response systems for a class of chaotic systems are designed as certain nonlinear observers that lead to scalar transmission signals and linear error systems. Based on the quadratic optimal control theory for continuous dynamical systems, an optimal synchronization control scheme is established to maintain the least error with less control costs during the synchronizing process. In addition, a claim reported in Ref. [11] is shown to be invalid by two counterexamples.

Keywords

chaos; continuous systems; nonlinear control systems; observers; optimal control; time-varying systems; chaos control optimality scheme; chaotic systems; continuous dynamical systems; drive-response regime; linear error systems; nonlinear observers; optimal synchronization control scheme; quadratic optimal control theory; Asymptotic stability; Automation; Chaos; Chaotic communication; Control systems; Intelligent control; Laboratories; Optimal control; Oscillators; Sufficient conditions; Chaos control; Chaos synchronization; coupled oscillators; nonlinear observer;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Conference_Location

Chongqing

Print_ISBN

978-1-4244-2113-8

Electronic_ISBN

978-1-4244-2114-5

Type

conf

DOI

10.1109/WCICA.2008.4593683

Filename

4593683