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Passivity-based synchronous control of Markov jump systems with actuator saturation

Author(s): Liqing WANG, Jiaming TANG, Mingkun WANG, Feiyu YANG
Affiliation(s): School of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, China; more
Corresponding email(s): liqingwang@zju.edu.cn, 202230503233@mails.zstu.edu.cn
Key Words: Markov jump systems; Synchronous controller; Actuator saturation; Passivity; Linear matrix inequalities

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Liqing WANG, Jiaming TANG, Mingkun WANG, Feiyu YANG. Passivity-based synchronous control of Markov jump systems with actuator saturation[J]. Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/FITEE.2500039

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author="Liqing WANG, Jiaming TANG, Mingkun WANG, Feiyu YANG",
journal="Frontiers of Information Technology & Electronic Engineering",
year="in press",
publisher="Zhejiang University Press & Springer",
doi="https://doi.org/10.1631/FITEE.2500039"
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%T Passivity-based synchronous control of Markov jump systems with actuator saturation
%A Liqing WANG
%A Jiaming TANG
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%A Feiyu YANG
%J Frontiers of Information Technology & Electronic Engineering
%P 1711-1720
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doi="https://doi.org/10.1631/FITEE.2500039"

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T1 - Passivity-based synchronous control of Markov jump systems with actuator saturation
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A1 - Jiaming TANG
A1 - Mingkun WANG
A1 - Feiyu YANG
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SP - 1711
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PB - Zhejiang University Press & Springer
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doi="https://doi.org/10.1631/FITEE.2500039"

Abstract
Chinese Summary
Academic Network
Reviewer Comment

Abstract: In this article, the robust control problem of discrete-time Markov jump systems (MJSs) with actuator saturation is investigated via the passivity theory. Under the assumption of mode synchronization between the system and the controller, sufficient conditions are established to guarantee the system to be mean-square stable and stochastically passive in the domain of attraction via the saturation-dependent Lyapunov function approach and the linear matrix inequality (LMI) technique. The coupling between the system variables is decoupled, which greatly facilitates the design of the synchronization controller. Moreover, the estimation of the domain of attraction for the considered MJSs is accomplished through the solution of an optimization problem (OP). By degenerating the mode-dependent controller into its mode-independent counterpart, we derive sufficient conditions to ensure system robustness under the mode-independent control strategy, and then systematically summarize these conditions. Finally, the effectiveness of the proposed integrated design methodology is validated through numerical simulations.

基于无源性的致动器饱和马尔科夫跳变系统同步控制

王丽庆¹，唐家铭¹，王明坤¹，杨飞宇²
¹浙江理工大学机械工程学院，中国杭州市，310018
²浙江大学软件学院，中国杭州市，310027
摘要：本文基于无源性理论研究了具有致动器饱和的离散时间马尔科夫跳变系统的鲁棒控制问题。在系统与控制器模态同步的假设下，采用饱和依赖李雅普诺夫函数方法和线性矩阵不等式（LMI）技术，建立了保证系统在吸引域内均方稳定与随机无源的充分条件。该方法解耦了系统变量间的耦合关系，极大简化了同步控制器的设计过程。此外，通过求解优化问题实现了所考虑的马尔科夫跳变系统吸引域估计。将模态依赖控制器退化为模态独立控制器，推导出在模态独立控制策略下保证系统鲁棒性的充分条件，并对这些条件进行系统性总结。最后，通过数值仿真验证了所提综合设计方法的有效性。

关键词组：马尔科夫跳变系统；同步控制器；致动器饱和；无源性；线性矩阵不等式

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基于无源性的致动器饱和马尔科夫跳变系统同步控制

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