標題: Pragmatical adaptive chaos control from a new double van der Pol system to a new double Duffing system
作者: Ge, Zheng-Ming
Li, Shih-Chung
Li, Shih-Yu
Chang, Ching-Ming
機械工程學系
Department of Mechanical Engineering
關鍵字: pragmatical adaptive control;double van der Pol system;double Duffing system;uncoupled chaotic system
公開日期: 15-Sep-2008
摘要: A new pragmatical adaptive control method for different chaotic systems is proposed. Traditional chaos control is limited to decrease chaos of one chaotic system. This method enlarges the effective scope of chaos control. We can control a chaotic system, e.g. a new chaotic double van der Pol system, to a given chaotic or regular system, e.g. a new chaotic double Duffing system or to a damped simple harmonic system. By a pragmatical theorem of asymptotical stability based on an assumption of equal probability of initial point, an adaptive control law is derived such that it can be proved strictly that the common zero solution of error dynamics and of parameter dynamics is asymptotically stable. Numerical simulations are given to show the effectiveness of the proposed scheme. (C) 2008 Elsevier Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/j.amc.2008.05.011
http://hdl.handle.net/11536/8352
ISSN: 0096-3003
DOI: 10.1016/j.amc.2008.05.011
期刊: APPLIED MATHEMATICS AND COMPUTATION
Volume: 203
Issue: 2
起始頁: 513
結束頁: 522
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