基于扩展状态观测器的随机隐Markov正跳变系统有限时间异步控制

针对一类含不匹配扰动的随机隐Markov跳变系统, 本文研究了基于扩展状态观测器(ESO)的有限时间异步控制问题. 首先, 引入一组扩展变量将隐Markov跳变系统转换成一组新的随机扩展系统, 补偿不匹配扰动对系统控制输出的影响. 基于Lyapunov–Krasovskii泛函方法, 给出使得基于ESO的闭环随机隐Markov增广跳变系统是正系统, 且有限时间有界的充分条件. 进而得到直接求解观测器增益和控制器增益的线性矩阵不等式. 最后, 通过仿真结果验证了本文所设计的异步状态反馈控制器和观测器的有效性和可行性.

Extended-state-observer-based finite-time asynchronous control of a class of stochastic positive hidden Markov jump systems

This paper studies the extended-state-observer(ESO)-based finite-time asynchronous control problem of aclass of stochastic hidden Markov jump systems with unmatched disturbances. Firstly, the stochastic hidden Markov jumpsystems are converted into new stochastic expansion systems by introducing a set of extended variables, which can compensatethe impact of unmatched disturbances in the controlled outputs. By means of the Lyapunov-Krasovskii functionmethod, some sufficient conditions on the positiveness and finite-time boundedness of the ESO-based closed-loop stochastichidden Markov jump systems are given. Then, linear matrix inequalities are obtained to directly solve the observer gainsand controller gains. Finally, a simulation result verifies the effectiveness of the designed asynchronous state feedbackcontroller and observer