一类脉冲随机混杂系统的鲁棒H无穷控制

本文研究具有外在扰动的脉冲Markov切换线性随机系统的鲁棒H无穷控制问题，分别从系统的鲁棒稳定性及鲁棒性能两方面进行分析，首先，利用多Lyapunov函数法对系统的稳定性进行分析，给出了系统鲁棒依概率稳定的充分条件，进一步，运用线性矩阵不等式(LMI)法对系统的鲁棒性能进行分析，给出相应的状态反馈增益矩阵和脉冲控制增益矩阵的求解方法，在此基础上得出了一个鲁棒H无穷控制律，并提出了一套基于Matlab软件的鲁棒控制器的设计方法。最后，数值算例说明所设计方法的有效性。

Robust H-infinity control on impulsive stochastic hybrid systems with disturbance

The robust H-infinity control problem for impulsive Markov switching stochastic systems with disturbance is considered in the paper with attention mainly paid on the robust stability and robust capability. Multiple Lyapunov techniques are used to derive some important sufficient conditions for the robust stability in probability of the system. Furthermore, by analyz- ing the robust capability of the system with the help of the linear matrix inequality(LMI) method, the state feedback matrix and the impulsive control matrix of the system are obtained, and then a robust H-infinity control rule is derived. Finally, a robust H-infinity control design method based on MATLAB software is presented, and a numerical example shows the effectiveness of the proposed approach.