一类离散时间切换混杂系统鲁棒控制

由于切换规则的存在使得切换混杂控制系统的稳定性研究变得极为复杂,如何针对给定的系统设计适当的控制器和切换规则没有统一的方法.本文考虑一类线性不确定离散时间切换混杂系统的鲁棒二次镇定和渐近镇定问题.利用公共李雅普诺夫函数方法和多李雅普诺夫函数方法,分别设计了切换混杂系统鲁棒状态反馈控制器和鲁棒输出反馈控制器,保证了切换混杂系统的二次稳定性和渐近稳定性.仿真结果验证了所提算法的正确有效性.

Robust control for a class of discrete time switched hybrid systems

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.