一类不确定离散时滞系统的鲁棒状态反馈控制

Robust State Feedback Control for Discrete-time Systems with Input and State Delays

讨论了一类同时具有状态时滞和输入时滞的离散系统的鲁棒控制问题．利用Lyapunov稳定性理论,结合线性矩阵不等式方法,得出该时滞系统稳定的充分条件,且该条件是时滞相关的．并设计出系统的反馈控制器,所得结果基于相应的线性矩阵不等式的解．最后举例说明该方法的有效性．

The problem of the robust state feedback control for a class of discrete time systems with state and input delays is studied. Based on Lyapunov stability theory and linear matrix inequality approach, a delaydependent sufficient condition for the stability of the system is given. A controller satisfying the requirement of design can be obtained by solving a linear matrix inequality (LMI). A numerical example is given to illustrate the effectiveness of the method.