一类不确定离散混杂系统的稳定性

Stability of a Class of Discrete-time Complex System

基于切换Lyapunov函数描述了在离散时间下一类不确定的离散混杂系统的L2增益分析以及控制合成问题.运用Lyapunov函数理论以及线性矩阵不等式,给出了一类不确定离散切换系统在任意切换律下的稳定性条件,并构造了反馈控制律使系统达到干扰衰减及内稳定性.

This paper is dedicated to the problem of L2-gain and control synthesis for a class of uncertain switched systems in the discrete-time domain basing on switched Lyapunov function. Applying the Lyapunov function theory and LMI, the sufficient conditions of the asymptotic stability for a class of uncertain discrete-time switched nonlinear system under arbitrary switching laws are given, the feedback control law such that the systems satisfy the inner stability are also designed.