离散时间PWS的分段广义H_2动态输出反馈控制

Piecewise generalized H_2 dynamic output feedback control for discrete-time piecewise systems

基于分段二次李雅普诺夫函数,对离散时间分段系统提出了广义H2稳定控制器的设计方法.通过构造分段动态输出反馈控制器,使闭环系统广义H2全局稳定,利用线性矩阵不等式理论,给出了闭环系统广义H2全局稳定的一个充分条件.

A generalized H2 controller designed for discrete-time piecewise systems is presented based on a piecewise Lyapunov function. The basic idea of the proposed approach is to construct a dynamic output feedback controller that can be used to establish global stability with generalized H2 performance for the resulting closed-loop system, A sufficient condition of global stability with generalized H2 performance is also given via linear matrix inequality theory.