一类不确定离散多时滞系统的稳定性分析与鲁棒控制器设计

Stablity Analysis and Robust Controller Design for a Class of Discrete-Time Uncertain Systems with Mutiple Time Delays

针对不确定参数有界的情况,采用Lyapunov方法,结合线性矩阵不等式(LMI),给出了一类不确定离散多时滞系统的鲁棒稳定性充分条件,在此基础上,设计出系统的状态反馈鲁棒控制器,最后通过仿真案例验证了该方法的正确性和有效性。

Focusing on a class of discrete-time uncertain systems with mutiple delay, this job proposes a sufficient condition of the robust stability by using Lyapunov method and linear matrix inequality（LMI）. On the basis, this article designes a state feedback robust controller. A simulation case shows the correctness and the effectiveness of the presented method.