不确定离散广义时滞系统的静态输出反馈控制

针对一类不确定离散时滞广义系统,给出了静态输出反馈控制器的设计方法.首先基于标称离散广义时滞系统的稳定条件,以受限线性矩阵不等式形式,得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件,同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法;然后采用矩阵的正交补,把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解;最后的数值实例说明了所给方法的有效性和正确性.

Static output feedback control of uncertain discrete singular time-delay systems

The problem of static output feedback stabilization for a class of uncertain discrete singular time-delay systems is investigated.Firstly,based on the stability criterion for the nominal discrete singular time-delay system,a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality with linear matrix equality constraint is established,which ensures that the resulting closed-loop system is regular,causal and robustly asymptotically stable,and the static output feedback controller is designed by the feasible solution of the linear matrix inequality with linear matrix equality constraint.Then by using matrix orthogonal complement,the linear matrix inequality with linear matrix equality constraints as a strict LMI without constraints is further formulated.Finally,a numerical example is presented to show the effectiveness of the proposed method.