随机跳变摄动系统的鲁棒H_∞控制

Investigation about H_∞ stability of linear singular perturbed system with Markovian jumping structure

针对具有独立马尔科夫结构的线性随机跳变摄动系统,在小时间参数不为零的基础上研究了系统的鲁棒H∞控制问题.首先提出具有线性矩阵不等式形式的鲁棒H∞稳定判据;进而,在计算相应小时间参数上界的基础上给出线性随机跳变摄动系统的状态反馈鲁棒H∞控制方法.对于任意处于小时间参数上界范围内的数值,所提出的方法均可确保相应的闭环系统具有鲁棒∞性能.

For the linear random jumping system with the independent Markovian structure,the robust H∞ control about such system that the small time parameter is not neglected is investigated.Firstly,the H∞ stability criterion with the framework of linear matrix inequalities is given.Then based on the max of the small time parameter that has been computed,the design of state feedback controller about H∞ stability is listed.For each small time parameter that is less than the upper bound,this method can ensure the closed loop random system H∞ performance.