Fuzzy control for Markov singularly perturbed systems with dynamic-probabilistic event-triggered mechanism

IF 4.2 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 Epub Date: 2025-01-16 DOI:10.1016/j.jfranklin.2025.107514
Xiaoke Tang , Yunliang Wang , Jun Cheng , Dan Zhang , Wenhai Qi
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Abstract

This study briefly explores fuzzy control for Markov singularly perturbed systems with a dynamic-probabilistic event-triggered mechanism and a dynamic mismatch mechanism. To optimize resource consumption, the proposed event-triggered mechanism leverages the stochastic nature of communication delays. Additionally, a general dynamic mismatch mechanism is introduced to address scenarios where the system and controller modes do not align. Sufficient conditions for ensuring system stability are derived using Lyapunov theory. Finally, the effectiveness of the proposed methodology is validated through both numerical simulations and practical examples.
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具有动态概率事件触发机制的马尔可夫奇摄动系统的模糊控制
本文研究了具有动态概率事件触发机制和动态失配机制的马尔可夫奇摄动系统的模糊控制问题。为了优化资源消耗,所提出的事件触发机制利用了通信延迟的随机性。此外,还引入了一个通用的动态不匹配机制来解决系统和控制器模式不一致的情况。利用李雅普诺夫理论推导了保证系统稳定性的充分条件。最后,通过数值模拟和实例验证了所提方法的有效性。
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来源期刊
CiteScore
7.30
自引率
14.60%
发文量
586
审稿时长
6.9 months
期刊介绍: The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.
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