随机马尔可夫跳变系统的弹性动态输出反馈控制

Resilient dynamic output feedback control for stochastic Markovian jump system

本文讨论了随机噪声影响下马尔可夫跳变系统的弹性动态输出反馈控制问题.在系统随机干扰和控制输入扰动的情况下,设计的弹性控制器可以确保闭环系统的依概率渐近稳定性.通过运用随机微分方程理论和线性矩阵不等式技术对系统进行稳定性分析,获得了系统依概率渐近稳定的充分条件和控制器增益.最后通过数值算例和直升机系统仿真验证了所提弹性动态输出反馈控制方法的有效性.

The problem of output feedback control for the Markovian jump system with stochastic noise is investigated in this paper.Under the stochastic disturbance and input perturbation,the proposed dynamic output feedback resilient controller guarantees that the closed-loop system is asymptotically stable in probability.Combining the stochastic differential equation theory with the linear matrix inequality technique,a sufficient condition is obtained to ensure the asymptotic stability in the probability of the system,and the feasible solution of controller gains is presented simultaneously.Finally,a numerical example and a helicopter linear systemare are given to illustrate the practicality of the proposed method.