【作者】 张健； 徐红兵； 郑宏；

【Author】 ZHANG Jian,XU Hongbing,ZHENG Hong School of Automation Engineering,University of Electronic Science and Technology of China,Sichuan,Chengdu 611731,P.R.China

【机构】 电子科技大学自动化工程学院；

【摘要】 本文研究了一类连续混沌系统的自适应采样控制问题,提出了一种系统化的混沌自适应采样控制器设计方法.首先利用反演方法设计了自适应连续时间控制器,接下来使用零阶保持方法和Euler方法对所获得的自适应连续控制器进行离散化,最后通过选择合适的采样周期,完成了自适应采样控制器的设计.本文从理论上论证了通过设计合适的设计参数与采样周期,所得到的自适应采样控制器可以将被控连续混沌系统的状态控制到平衡点的一个任意小的邻域内.本文也通过一个变型蔡电路的应用实例表明利用所提方法设计出的自适应采样控制器具有良好的控制效果.更多还原

【Abstract】 In this paper,we study the problem of adaptive sampled-data control for a class of chaotic systems and present a systematic procedure for the design of the controller.We firstly design an adaptive continuous-time controller by using the backstepping method.In the following,the zero-hold and Euler methods are employed to discretize the adaptive continuoustime controller.Finally,we obtain adaptive sampled-data controller after choosing an appropriate sampling period.The paper proves that the proposed adaptive sampled-data controller can guarantee that the states of the controlled continuous-time chaotic system are convergent to an arbitrarily small neighborhood around the equilibrium point by choosing appropriate parameters and a sampling period.An example applied to the modified Chua’s circuit shows that the designed adaptive sampled-data controller can achieve favorable performance.更多还原