Asynchronous Sliding Mode Control of Networked Markov Jump Systems via an Asynchronous Observer Approach Based on a Dynamic Event Trigger

Deng, Jianping; Lou, Haocheng; Jiang, Baoping

doi:10.3390/electronics13214182

Open AccessArticle

Asynchronous Sliding Mode Control of Networked Markov Jump Systems via an Asynchronous Observer Approach Based on a Dynamic Event Trigger

by

Jianping Deng

¹,

Haocheng Lou

² and

Baoping Jiang

^2,*

¹

Department of Electronics & Information Engineering, Suzhou Vocational University, Suzhou 215106, China

²

School of Electronics and Information Engineering, Suzhou University of Science and Technology, Suzhou 215009, China

^*

Author to whom correspondence should be addressed.

Electronics 2024, 13(21), 4182; https://doi.org/10.3390/electronics13214182

Submission received: 10 September 2024 / Revised: 17 October 2024 / Accepted: 23 October 2024 / Published: 25 October 2024

(This article belongs to the Special Issue Advanced Control Strategies and Applications of Multi-Agent Systems)

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Abstract

This paper explores the utilization of sliding mode control, which relies on an asynchronous observer, for Markov jump systems subject to external disturbances. Firstly, given that the system’s mode is not directly measurable and could potentially differ from the observer’s and controller’s mode, the paper constructs an asynchronous observer employing a hidden Markov model. Secondly, a sliding surface is designed to correspond with the asynchronous observer. Moreover, a multi-parameter event-triggered mechanism is incorporated into the observer design to alleviate bandwidth strain. Thirdly, by applying the integrated sliding mode control law, we ensure that the system state trajectories will reach the sliding surface within a finite time. Fourthly, the achievement of

H_{\infty}

stability is realized by making use of the Lyapunov function. Lastly, a practical-oriented example is presented to illustrate the efficiency of the established method.

Keywords: Markov jump system; sliding mode control; event-triggered mechanism; asynchronous observer design

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MDPI and ACS Style

Deng, J.; Lou, H.; Jiang, B. Asynchronous Sliding Mode Control of Networked Markov Jump Systems via an Asynchronous Observer Approach Based on a Dynamic Event Trigger. Electronics 2024, 13, 4182. https://doi.org/10.3390/electronics13214182

AMA Style

Deng J, Lou H, Jiang B. Asynchronous Sliding Mode Control of Networked Markov Jump Systems via an Asynchronous Observer Approach Based on a Dynamic Event Trigger. Electronics. 2024; 13(21):4182. https://doi.org/10.3390/electronics13214182

Chicago/Turabian Style

Deng, Jianping, Haocheng Lou, and Baoping Jiang. 2024. "Asynchronous Sliding Mode Control of Networked Markov Jump Systems via an Asynchronous Observer Approach Based on a Dynamic Event Trigger" Electronics 13, no. 21: 4182. https://doi.org/10.3390/electronics13214182

APA Style

Deng, J., Lou, H., & Jiang, B. (2024). Asynchronous Sliding Mode Control of Networked Markov Jump Systems via an Asynchronous Observer Approach Based on a Dynamic Event Trigger. Electronics, 13(21), 4182. https://doi.org/10.3390/electronics13214182

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Asynchronous Sliding Mode Control of Networked Markov Jump Systems via an Asynchronous Observer Approach Based on a Dynamic Event Trigger

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