Robust control for a class of discrete time switched hybrid systems
一类离散时间切换混杂系统鲁棒控制

Due to the existence of the switching rule,the switched hybrid system stability has been a complicated subject;and so far,there has been a generally agreed way to construct the proper controller and switching rule for the given system.In this paper,The robust quadratic stabilization problem and asymptotic stabilization problem are considered for a class of linear uncertain discrete time switched hybrid systems.Robust state feedback controllers and output feedback controllers are designed respectively by using the common Lyapunov function technique and multiple Lyapunov function technique.The designed controllers guarantee the quadratic stability and asymptotic stability.Simulations have validated the correctness of the presented algorithms.