Title :
A novel chaos control scheme with optimality
Author :
Zhang, Linhua ; Yang, Zhichun
Author_Institution :
Dept. of Math. & Comput., Chongqing Normal Univ., Chongqing
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;
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
DOI :
10.1109/WCICA.2008.4593683
