一类混杂脉冲切换广义系统的二次稳定

Quadratic Stability of a Class of Hybrid Impulsive and Switched Singular Systems

基于一类受控广义系统和混杂脉冲切换控制,提出了一个混杂脉冲切换广义系统模型.研究了该类脉冲切换广义系统二次稳定性及混杂脉冲切换控制设计等问题.在有限个备选状态反馈控制器的条件下,利用凸组合技术和李雅普诺夫函数等方法,给出脉冲切换线性广义系统二次稳定的充分条件及切换律的设计.同时根据广义系统受限等价性质及其结构特性,构造允许的脉冲控制确保系统状态是允许的.最后给出一个数值例子说明本文设计方法的有效性.

A model of a class of hybrid impulsive and switched singular systems is developed, based on a kind of controlled singular systems and hybrid impulsive and switched control. The design of hybrid impulsive and switched control for the system is investigated under the condition that the number of candidate controllers is limited. A sufficient condition of quadratic stability for the impulsive and switched systems is given with a switching law by way of convex combination and single Lyapunov function. According to the restricted system equivalence of singular systems and their structural characteristics, an allowed impulsive control is provided to ensure the consistent state and make the system to be quadratically stable. An example is given to illustrate the effectiveness of the design proposed.