不确定离散线性切换系统的鲁棒控制

Robust control of discrete-time linear switched systems with uncertainties

利用共同李亚普诺夫函数方法和线性矩阵不等式处理方法,研究了一类含有结构参数不确定性的离散时间切换系统的鲁棒渐近稳定问题。基于凸组合条件,通过各个子系统的状态反馈控制器和相应切换规律的设计,在有限控制器之间进行切换使得该系统是全局渐近稳定的。文中用数学方法证明了该设计方法的有效性,所得结果为线性切换系统的分析提供了更深的视角,有助于控制系统其它性能实现。

The problem of robust asymptotic stabilization for a class of nonlinear discrete time switched systems with structural parameter uncertainty is studied using common Lyapunov function technique and LMI method. With convex combination, the robust state feedback controllers and the switching strategy are designed. The designed controllers and the switching strategy guarantee the asymptotic stability. The illation shows the effectiveness of the method. The results provide a deeper insight into the analysis of the switched systems.