具有不确定和时变时滞的离散切换系统的鲁棒H_∞可靠控制

Robust H_∞ Reliable Control for Uncertain Switched Systems with Time-Varying Delays

针对执行器可能发生失效情形,研究一类具有不确定及时变时滞的离散切换系统鲁棒H∞可靠控制问题。假定每个单一的子系统都不能使系统实现鲁棒H∞可靠控制,利用多Lyapunov函数理论,得到切换状态反馈策略下问题可解的充分条件及相应的切换律、鲁棒H∞可靠切换控制器的设计方案。最后使用仿真算例以验证设计方法的有效性。

This paper investigates the problem of robust H∞reliable control for a class of discrete time uncertain switched systems with time-varying delays and actuator failures.Assuming that the H∞ reliable control cannot be implemented in each individual subsystem,based on the multiple Lyapunov function theory,a sufficient condition for the problem to be solvable is achieved under the strategy of switching state feedback,and the corresponding switching law and robust H∞reliable switching controller are given.Finally,a simulation example illustrates the validity of the design method.