不确定切换系统基于切换时间的动态输出反馈鲁棒H_∞控制

Robust H_∞ dynamic output feedback control for a class of uncertain switched systems with time-based switching law

借助平均驻留时间方法,讨论了一类不确定切换系统的动态输出反馈鲁棒H∞控制问题。利用多Lyapunov函数法,以线性矩阵不等式的形式给出了使得该类闭环系统的动态输出反馈控制器存在的充分条件。同时,构建了基于切换驻留时间的切换律。在综合考虑最优化干扰抑制性能指标γ和求解的简便性后,给出了动态输出反馈控制器的设计算法。进一步的,将所得结果推广到任意切换律的情况。

Using the average dwell time method, the problem of a class of uncertain switched systems with dynamic output feedback robust H∞ control is discussed. The sufficient conditions in the form of linear matrix inequalities （LMI） are presented to guarantee the stability of uncertain switched systems with dynamic output feedback robust H∞ controller under the dwell-time-dependent switching law. For optimizing disturbance attenuation performance and simplifying the solving, a dynamic output feedback controller design algorithm is given. Moreover, the result is extended to the case of an arbitrary switching law.