一类时滞切换系统的输入-状态稳定性分析

Input-to-state stability analysis for a class of switched systems with time delay

利用多Lyapunov函数方法、驻留时间法和Gronwall-Bellman不等式研究了一类时滞切换系统的输入-状态稳定性分析问题.从系统输入-状态稳定定义出发,给出了使得一类时滞切换系统输入-状态稳定的充分条件.与已有的方法相比,无需同时满足构造输入-状态稳定控制Lyapunov函数和所有子系统都是输入-状态稳定的条件,为控制器的设计提供了便利.最后,通过算例仿真验证了所提出方法的可行性.

Based on the multi-Lyapunov function approach, dwell-time approach and Gronwall-Bellman inequality, the problem of input-to-state stability for a class of switched systems with time delay is studied. From the definition of input- to-state stability, sufficient conditions for a class of switched systems with time delay being input-to-state stable are got. Compared with the existing methods, the proposed method does not need constructing input-to-state stable control Lyapunov function, and input-to-state stability properties are not required for all subsystems, which is great convenient for design of subsystem＇s controller. Simulation results show the effectiveness of the proposed method.