状态和控制输入中都含有时变时滞的线性不确定系统的鲁棒控制

主要研究在状态和控制输入中都含有时变时滞及有界参数扰动的不确定线性系统的鲁棒控制问题.关于无记忆线性状态反馈控制器的存在性,给出线性矩阵不等式型的充分条件和设计方法.该控制器不但能使被控对象的闭环系统二次稳定,而且满足一定的范数界约束.最后以数值实例说明该设计方法的有效性.

Robust Control for Linear Uncertain Systems with Time-varying Delays in Both State and Control

This paper focuses on the problem of robust control for linear uncertain systems with time-varying delays and norm-bounded parameter perturbation in both the system state and control.On the existence of memoryless linear state feedback controllers,we present a sufficient condition and give a design method in the form of Linear Matrix Inequality.This controller not only can make the closed-loop system quadratically stable but also can make the norm of the closed-loop system less than a given bound.Finally,an illustrative example is given to demonstrate the effectiveness of the proposed design method.