一类不确定系统鲁棒容错D-稳定性分析

Robust fault-tolerant D-stability analysis for a class of uncertain systems

研究不确定系统D-稳定鲁棒容错H∞控制问题.基于连续型执行器故障模式,利用线性矩阵不等式(LMI)给出了系统D-稳定的鲁棒容错输出反馈控制器存在的充分条件,并将动态输出反馈控制器设计方法归结为求解一族线性矩阵不等式组.仿真示例表明,无论执行器是否发生故障,所得到的动态输出反馈控制器不仅保证闭环系统是D-稳定的,而且满足给定的H∞干扰指标,从而验证了所提出的控制器设计方法的有效性.

The problem of robust fault-tolerant Ho.. control with D-stability for systems with parameter uncertainty is considered. A sufficient condition for the existence of robust fault-tolerant H∞ output feedback controller with D-stability is derived by means of linear matrix inequality approach. The dynamic output feedback controller is designed by solving a set of linear matrix inequalities. A numerical example is given to show that the obtained controller not only guarantees the closed-loop system to be D-stable but also achieves the given H~ disturbance index regardless of the actuator faults or not, which illustrates the effectiveness of the proposed method.