Markov跳变系统在一般转移速率下的H_∞控制

H_∞ Control for Markovian Jump Systems with General Switching

考虑一类Markov跳变系统在一般转移速率下的H∞控制问题.利用线性矩阵不等式给出了Markov跳变系统随机稳定且具有H∞性能指标γ的充分条件;进而设计状态反馈模态依赖控制器,使闭环系统随机稳定且具有H∞性能指标γ.

The problem of H∞ control is considered for Markovian jump systems with general switching. Firstly, a sufficient condition for Markovian jump systems being stochastically stable with γ-dis-turbance attenuation is given in terms of linear matrix inequality technique. Furthermore, a method of designing state feedback H∞ controller is presented. The controller guarantees the resultant closed-loop system to be stochastically stable as well as satisfying a prescribed H∞ performance.