带有非线性扰动的不确定切换系统鲁棒控制

针对一类非线性扰动项不满足匹配条件的不确定切换系统鲁棒状态反馈镇定问题，采用单李雅普诺夫函数和多李雅普诺夫函数方法，研究了状态矩阵和控制输入矩阵同时带有未知、时变但有界的不确定性，而且有外界干扰的切换系统，分别给出了不确定切换系统鲁棒可稳的充分条件。仿真结果表明，所设计的两类控制器及相应的切换策略均能保证闭环系统渐近稳定。

Robust control for uncertain switched systems with nonlinear disturbances

The problem of robust state feedback stabilization for a class of uncertain switched systems is studied. The nonlinear disturbances do not satisfy so-called matching condition. By using single Lyapunov function technique and multiple Lyapunov function technique, sufficient conditions of robust stabilization for switched systems are obtained respectively under the assumption that the parameter uncertainties are time-varying and unknown but norm-bounded. The simulation results show that two classes of the designed controllers and switching laws guarantee the closed-loop systems which is asymptotically stable.