| 引用本文: | 任乘乘,宋军,何舒平.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[J].控制理论与应用,2021,38(11):1891~1900.[点击复制] |
| REN Cheng-cheng,SONG Jun,HE Shu-ping.Extended-state-observer-based finite-time asynchronous control of a class of stochastic positive hidden Markov jump systems[J].Control Theory and Technology,2021,38(11):1891~1900.[点击复制] |
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| 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 |
| Extended-state-observer-based finite-time asynchronous control of a class of stochastic positive hidden Markov jump systems |
| 摘要点击 1554 全文点击 520 投稿时间：2021-07-03 修订日期：2021-11-12 |
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| DOI编号 10.7641/CTA.2021.10585 |
| 2021,38(11):1891-1900 |
| 中文关键词 扩展状态观测器 隐Markov跳变系统 有限时间有界 正系统 |
| 英文关键词 extended state observer (ESO) hidden Markov jump systems asynchronous control positive system |
| 基金项目 国家自然科学基金项目(62073001, 61903143), 安徽省高校优秀青年人才重点支持计划项目(gxydZD2017001), 安徽省高校协同创新项目(GXXT–2021–010), 国家留学基金委项目资助. |
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| 中文摘要 |
| 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. |
| 英文摘要 |
| This paper studies the extended-state-observer(ESO)-based finite-time asynchronous control problem of a
class of stochastic hidden Markov jump systems with unmatched disturbances. Firstly, the stochastic hidden Markov jump
systems are converted into new stochastic expansion systems by introducing a set of extended variables, which can compensate
the impact of unmatched disturbances in the controlled outputs. By means of the Lyapunov-Krasovskii function
method, some sufficient conditions on the positiveness and finite-time boundedness of the ESO-based closed-loop stochastic
hidden Markov jump systems are given. Then, linear matrix inequalities are obtained to directly solve the observer gains
and controller gains. Finally, a simulation result verifies the effectiveness of the designed asynchronous state feedback
controller and observer |