不确定离散时滞系统的鲁棒H_∞控制

Robust^(H_∞) Control for Uncertain Discrete-Time Systems with Time-Delay

本文主要研究了同时具有状态时滞和输入时滞的不确定离散时滞系统的鲁棒H_∞控制问题。基于二次稳定性理论,采用线性矩阵不等式方法,给出了该系统鲁棒H_∞控制器存在的充分条件和有记忆状态反馈控制器的设计方法。最后利用数值例子说明了该方法的有效性。

The robust H_∞control problem for uncertain discrete-time systems with state and input delay is considered.Based on the quadratic stability theory,the problem of robust H_∞control with memory state feedback was discussed in terms of linear matrix inequality approach;a sufficient condition for robust H_∞control is given.A H_∞state feedback controller is designed and can be determined by solving a linear matrix inequality.A numerical simulation is given to demonstrate the application of the proposal result.