【作者】 刘杰； 陆君安； 陈士华；

【Author】 Liu Jie Lu Jun-An and Chen Shihua(School of Mathematics and statistics, Wuhan University, Hubei, PR, China, 430072).(Wuhan Institute of Science and Technology, Hubei, P R, China, 430074;XianNing College, Hubei, P R, China, 437005) .

【机构】 武汉大学数学与统计学院；

【摘要】 基于GCM理论提出了一种混沌系统全局镇定控制的实用方案。该方案的新颖性在于不仅能够通过改变非线性混沌系统的GCMS将混沌状态迅速镇定到目标态,而且完全避免了诸如线性反馈分析结果局部化或者利用Lyapunov稳定性理论进行线性、非线性反馈分析时结果过于保守或Lyapunov函数较难构造的某些不足,为选择适当的简单线性反馈控制器提供了一种新的依据。结合数值仿真,通过研究Lorenz混沌系统的全局镇定对该方法的主要思想进行了阐述。更多还原

【Abstract】 A new method of global stabilizing chaotic system is proposed based on the Generalized Competitive Mode approach in this paper. The novelty of this new and effective method lies in that, the states can be regulated to desired regular orbits through changing the GCMs of the chaotic system, and this method avoids the limitation of classical local linear feedback analysis and construction of proper Lyapunov function for stability analysis in linear and nonlinear feedback control schemes. The effectiveness of the approach and the main idea are illustrated by designing proper linear feedback controller for Lorenz chaotic system. This method can be extended to stabilize some other nonlinear systems. Simulations are also proposed to verify the effectiveness of this method.更多还原