A hyperchaotic system stabilization via inverse optimal control and experimental research
A hyperchaotic system stabilization via inverse optimal control and experimental research
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DOI：
10.1088/1674-1056/19/10/100502
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发表时间：
2010-10
影响因子：
1.7
通讯作者：
Ning-Ning Yang-Ning;Chong-Xin Liu;Chao-Jun Wu
中科院分区：
文献类型：
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作者：
Ning-Ning Yang-Ning;Chong-Xin Liu;Chao-Jun Wu
利用Poincare映射、李雅普诺夫指数和分岔图研究了一个四维自治超混沌系统的一些基本动力学性质。不仅通过数值模拟和简要的理论分析，而且通过电路实验证明了这种新的超混沌系统的动力学行为。提出了一种有效的方法来实现该四维超混沌系统的全局渐近镇定。基于非线性系统的逆最优控制方法，实现了一种线性状态反馈控制。与非线性状态反馈等其它混沌控制方法相比，该方法简单易行。
In this paper, some basic dynamical properties of a four-dimensional autonomous hyperchaotic system are investigated by means of Poincare mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this new hyperchaotic system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit experiment. An efficient approaching is developed for global asymptotic stabilization of this four-dimensional hyperchaotic system. Based on the method of inverse optimal control for nonlinear systems, a linear state feedback is electronically implemented. It is remarkably simple as compared with other chaos control ways, like nonlinear state feedback.