Abstract: his 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.

Key words: Discrete time switched systems, Multiple Lyapunov function, Robust H&infin, control, Reliable control, Timevarying delays

摘要： 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L y a p u n o v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。

关键词: 离散切换系统, 多L y a p u n o v函数, 鲁棒H∞控制, 可靠控制, 时变时滞