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; 唐家铭; 王明坤; 杨飞宇

doi:10.1631/FITEE.2500039

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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

常规文章 | Updated：2025-11-05

- 基于无源性的致动器饱和马尔科夫跳变系统同步控制
- Passivity-based synchronous control of Markov jump systems with actuator saturation
- 信息与电子工程前沿（英文） 2025年26卷第9期页码：1711-1720
- Affiliations：
  
  1.School of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, China
  2.School of Software Technology, Zhejiang University, Hangzhou 310027, China
- Author bio：
  
  ‡ Corresponding author
  202230503233@mails.zstu.edu.cn
- Funds：
  
  National Natural Science Foundation of China(62303421);Zhejiang Provincial Natural Science Foundation of China(LQ23F030018)
- DOI：10.1631/FITEE.2500039
  中图分类号： TP13
- 收稿：2025-01-16，
  
  修回：2025-05-19，
  
  纸质出版：2025-09
- Accepted：
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王丽庆, 唐家铭, 王明坤, 等. 基于无源性的致动器饱和马尔科夫跳变系统同步控制[J]. 信息与电子工程前沿（英文）, 2025,26(9):1711-1720.

Liqing WANG, Jiaming TANG, Mingkun WANG, et al. Passivity-based synchronous control of Markov jump systems with actuator saturation[J]. Frontiers of Information Technology & Electronic Engineering, 2025, 26(9): 1711-1720.
王丽庆, 唐家铭, 王明坤, 等. 基于无源性的致动器饱和马尔科夫跳变系统同步控制[J]. 信息与电子工程前沿（英文）, 2025,26(9):1711-1720. DOI： 10.1631/FITEE.2500039.

Liqing WANG, Jiaming TANG, Mingkun WANG, et al. Passivity-based synchronous control of Markov jump systems with actuator saturation[J]. Frontiers of Information Technology & Electronic Engineering, 2025, 26(9): 1711-1720. DOI： 10.1631/FITEE.2500039.

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。

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.

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references

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