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On-line Access: 2025-06-25

Received: 2025-01-16

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Frontiers of Information Technology & Electronic Engineering 

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


Author(s):  Liqing WANG1, Jiaming TANG1, Mingkun WANG1, Feiyu YANG2

Affiliation(s):  1School of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, China; more

Corresponding email(s):  liqingwang@zju.edu.cn

Key Words:  Markov jump systems; Synchronous controller; Actuator saturation; Passivity; Linear matrix inequalities


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Liqing WANG1, Jiaming TANG1, Mingkun WANG1, Feiyu YANG2. 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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Abstract: 
In this article, the robust control problem of discrete-time Markov jump systems (MJSs) with actuator saturation is investigated via 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 solved, which greatly facilitates the solution 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, which are then systematically summarized. Finally, the effectiveness of the proposed integrated design methodology is validated through numerical simulations

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