具有执行器故障的时滞切换系统动态输出控制研究

DYNAMIC OUTPUT CONTROL FOR TIME-DELAY SWITCHED SYSTEMS WITH ACTUATOR FAULTS

本文研究一类具有执行器故障的离散时间时滞切换系统的几乎必然指数稳定问题,充分考虑部分子模态的执行器完全故障情况与切换概率对系统的影响,设计一类新颖的动态输出反馈控制器使得执行器未失效的模态是稳定的.通过构建新颖的多Lyapunov函数,给出了所考虑切换系统实现几乎必然指数稳定的充分判据.此外,还给出在动态输出反馈控制器中控制增益的设计算法,所得判据均以LMI形式给出,易于通过Matlab中的工具箱进行验证.最后,通过数值算例和仿真结果验证了相关结论的可行性和有效性.

This paper studies exponential stabilization almost surely for a class of discrete-time switched systems with actuator fault and time delays, in which the effects of actuator fault on some subsystems and switching probability are fully considered. For this aim, a novel dynamic output feedback controller is designed to make some subsystems without actuator fault stable. Then several sufficient conditions are obtained by designing a novel multiple Lyapunov functional to ensure ES of the considered switched system. In addition, an effective algorithm for control gain in dynamic output feedback controller is also given. Note that, the obtained criteria are given in the form of LMI, which can be easily verified by toolbox in Matlab. Finally, numerical examples and simulation results verify the relevant conclusions′ feasibility and validity.