Focusing on a class of discrete-time systems with norm-bounded uncertain and state multiple delays, new criterias is presented, which are expressed in terms of linear matrix inequalities(LMIs) , for robust stability of the system. By using Lyapunov method, a state feedback robust controller is designed to guarantee asymptotic stability of the closed-loop system. A simulation case is provided to illustrate the correctness and the effectiveness of the proposed theoretical results.%针对一类时变不确定、参数有界且状态多对滞离散系统,给出了鲁棒稳定性新的充分条件.通过构造Lyapunov函数,仅需求解一个线性矩阵不等式(LMI),就可设计出保证闭环系统稳定的状态反馈鲁棒控制器.最后通过数值例子说明了该方法的正确性和有效性.
展开▼
