一类线性切换系统基于观测器的输出反馈镇定

对一类线性切换系统 ,首先设计了其状态观测器的形式 ,给出线性切换系统渐近镇定的一组LMI形式的充分条件 .基于所设计的观测器 ,用各子观测器的值构造各子控制器和切换策略 ,达到使整个闭环系统渐近稳定的目的 .对切换时间周期受限制情况 ,给出其相应的指数镇定控制策略 .最后给出一个仿真实例以说明本文设计方法的正确性 .

Output feedback stabilization for a class of linear switching systems based on observer

The state observer is designed for a class of linear switching systems. The suff icient conditions that stabilize asymptotically the switching systems are given by a team of LMIs (linear matrix inequalities), which is easily solved by the c ontrol toolbooks of Matlab. Based on the designed observer, individual sub-cont r oller and switching strategy are constructed via the values of the observer for each sub-system, which ensures the asymptotic stability for the whole closed-l oop system. For the case that the switching time interval is constraint, the cor responding exponential stabilizing control strategy is also given. At last, a si mulation example is given to show the efficiency of the proposed control strateg y.