关于一类线性时不变切换系统的脉冲控制  

On impulsive control for a class of linear time-invariant switched systems

作　　者：王仁明[1] 关治洪[2] 王燕舞[2] 刘新芝[2] 

机构地区：[1]三峡大学电气信息学院,湖北宜昌443002 [2]华中科技大学控制系,湖北武汉430074

出　　处：《系统工程学报》2006年第4期405-409,共5页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(6007400960274004);三峡大学博士科研启动基金资助项目(8091)

摘　　要：针对一类线性时不变脉冲切换系统,利用Lyapunov函数导出了一种有效的控制方法.首先,建立了这类系统在任意切换率下稳定与渐近稳定的充分条件;然后,给出了这类系统在设定的切换率下指数稳定的判别准则;最后,给出了一个数值例子及仿真来阐明结论的正确性.In this paper, impulsive control for a class of linear time-invariant switched systems is discussed. An effective impulsive control method for stabilizing such systems is developed by means of using Lyapunov function. First of all, some sufficient conditions for stability and asymptotical stability of such systems with arbitrary switching law are established. Then, with a given switching law, the sufficient conditions for exponential stability of such systems are derived. Finally, a simulation example is also given to illustrate the correctness of our conclusions presented.

关 键 词：切换系统 脉冲控制 指数稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]