广义Markov跳变系统在一般转移率下的鲁棒无源控制

Passive Control for Descriptor Markov Jump Systems with Generally Uncertain Transition Rates

研究一类转移率具有不确定性且部分未知的随机广义Markov跳变系统的鲁棒无源控制问题.通过构造Lyapunov函数,运用自由权矩阵的方法给出了该系统随机容许且无源的充分条件,进而设计状态反馈无源控制器,使闭环系统是随机容许且无源的.控制器可通过求解相应的线性矩阵不等式得到.

This paper investigates the problem of the passive control for a class of stochastic descriptor Markov jump systems with generally uncertain transition rates,which are uncertain and partially unknown.Sufficient conditions for descriptor Markov jump systems to be stochastically admissible and strictly passive are presented by the method of employing the Lyapunov function and free-weighing matrices.Also,the proposed state feedback controller is designed by means of linear matrix inequalities(LMIs),which can be derived by solving LMIs.