一类时滞线性系统的鲁棒非脆弱控制器设计

Robust Non-fragile Controller for a Class of Linear Time-delay Systems

基于线性矩阵不等式(LM I)方法,研究一类时滞线性系统的鲁棒非脆弱控制器的设计问题.在假定控制器增益扰动范数有界的前提下,对不确定时滞线性系统设计了鲁棒非脆弱状态反馈控制器,同时以一个LM I的形式给出了状态反馈控制器存在的充分条件,而且该LM I是与时滞相关的,因而具有较小的保守性.数值例子证明了该设计方法的有效性和可行性.

The design problem of robust non-fragile controller for a class of linear time-delay systems is discussed based on LMI. The controller gain perturbations is assumed to be norm-bounded. The robust resilient state feedback controller for linear systems with uncertainties and constant delays is designed. The condition of robust non-fragile controller designing is given. A delay-dependent design method is proposed in terms of linear matrix inequalities （LMIs）. All parameters of the LMI are linear, and the LMI is depends on the size of delay. An illustrative example shows the effectiveness of the proposed method.