具有控制变量约束的线性时滞不确定系统的鲁棒控制

Robust Control for Uncertain Linear Time-delay Systems with Control Variables Constrained

研究了一类具有控制变量约束的线性时滞不确定系统的鲁棒控制器设计问题 ,所讨论的系统为状态及控制均含有时滞 ,且不确定性需要满足范数有界条件 ,以求解线性矩阵不等式的形式给出了鲁棒控制器存在的充分条件。数值仿真例子说明了本文所介绍方法的有效性。

In this paper,the design of the robust controller for a class of uncertain linear time-delay systems containing constrained control variables is studied.States and inputs in the system under consideration both contain delay, and the uncertainty must be norm-bounded.The sufficient condition for the existence of robust controller is given in terms of solutions to a linear matrix inequality.Numerical example is given to illustrate the method.