Control of chaos in a piecewise smooth nonlinear system

被引：23
作者：
Kousaka, T
Ueta, T
Ma, Y
Kawakami, H
机构：
[1] Fukuyama Univ, Fac Engn, Dept Elect & Elect Engn, Fukuyama, Hiroshima 7290292, Japan
[2] Univ Tokushima, Dept Informat Sci & Intelligent Syst, Tokushima 7708506, Japan
[3] Univ Tokushima, Dept Elect & Elect Engn, Tokushima 7708506, Japan
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 27卷 / 04期
关键词：
14;
D O I：
10.1016/j.chaos.2005.04.068
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper shows the stabilization of the unstable periodic orbit of any given piecewise smooth system with linear and/or nonlinear characteristics. By utilizing the periodicity of the switching action, we construct the Poincare mapping including all information of the original system. This mapping offers a first step toward extending a novel technique for controlling chaos based on the appropriate state feedback in piecewise smooth nonlinear systems. We also apply this approach to Rayleigh type oscillator described by the piecewise smooth nonlinear systems. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1019 / 1025
页数：7
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