超混沌Lü系统的模糊脉冲控制:时变Lyapunov函数方法  

Fuzzy Impulsive Control of the Hyperchaotic Lü System Via a Time-Dependent Lyapunov Function Approach

作　　者：陈武华[1] 王自鹏[2] 位旦[1] 施开波[3] 

机构地区：[1]广西大学数学与信息科学学院,南宁530004 [2]北京航空航天大学自动化科学与电气工程学院,北京海淀区100191 [3]电子科技大学数学与科学学院,成都611731

出　　处：《电子科技大学学报》2013年第5期717-722,共6页Journal of University of Electronic Science and Technology of China

基　　金：Supported by National Natural Science Foundation of China(60864002,61164016);Guangxi Natural Science Foundation(2011GXNSFA018141)~~

摘　　要：针对一般混沌系统模糊脉冲控制问题,提出了一种基于时变Lyapunov函数的分析方法。与时不变的Lyapunov函数方法相比,该方法能充分利用脉冲区间的信息,从而推导出具有较少保守性的结果。不同于已有的结果,所得到系统的全局指数稳定性条件同时依赖于脉冲区间的上界和下界。该稳定性条件表示为线性矩阵不等式形式。通过求解一组线性矩阵不等式,得到镇定混沌系统的模糊脉冲状态反馈控制器。提出的脉冲镇定方案应用于超混沌吕氏系统的镇定问题,所得结果证实了该方法的有效性。A novel analysis method for the fuzzy impulsive control of general chaotic systems is presented by using the time-dependent Lyapunov function-based technique. Compared with the time-independent Lyapunov function method, the proposed method can make full use of the information about the impulsive intervals and provides less conservative results. Being different from the existing results, the derived condition for global exponential stability of the system under consideration depends both on the upper bound and the lower bound of the impulsive intervals. This condition is expressed in terms of linear matrix inequalities （LMIs）. By solving a set of LMIs, a fuzzy impulsive state feedback controller can easily be obtained. Finally, the proposed impulsive control scheme is applied to the stabilization of the hyperchaotic Lü system. The simulation results demonstrate the effectiveness of the developed method.

关 键 词：超混沌系统 脉冲控制 时变Lyapunov函数 T-S模糊模型 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]