基于LMI的时滞系统的鲁棒H_∞容错设计

Robust tolerance H_∞ design of time-delay systems based on LMI

研究了线性时滞不确定系统的鲁棒容错H∞控制问题.针对传感器失效,基于LMI和Lyapunov渐进稳定理论,讨论了线性时滞不确定系统在传感器故障情况下的鲁棒镇定问题,给出了闭环故障系统具有鲁棒容错H∞控制特性的一个充分条件.设计实例说明了该方法的有效性.

The robust tolerance H∞ design problem of a class of linear uncertain time - delay systems is considered. With respect to the sensor fault, based on LMI and Lyapunov stability theory, the robust stabilization of the linear time - delay uncertain systems is considered, a sufficient condition for existence of a robust tolerance H∞ controller for a class of linear uncertain time - delay systems is gaven. A numerical example is given to illustrate the efficiency of the main results.