Dynamic Output Feedback Asynchronous H ∞ $H_\infty$ Control for Singular Markovian Jump Systems via Event-Triggered Scheme

IF 2.2 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IET Control Theory and Applications Pub Date : 2025-05-07 DOI:10.1049/cth2.70034

Qian Zhang, Jinjin Liu, Huajian Xue

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Abstract

This brief studies the problem of dynamic output feedback (DOF) asynchronous $H_{\infty}$ control for singular Markovian jump systems (SMJSs) via event-triggered scheme (ETS). To save network resources, a dynamic ETS is proposed. Moreover, due to various factors, the controller modes and the system modes are not always synchronized and a hidden Markov model (HMM) is used to describe this phenomenon. First, some conditions are formulated to ensure that the system is stochastically admissible (SA) with $H_{\infty}$ performance. Second, DOF controllers are obtained based on the derived conditions. Finally, two examples are presented to show the effectiveness of the proposed approach.

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基于事件触发方案的奇异马尔可夫跳跃系统的动态输出反馈异步H∞$H_\infty$控制

摘要研究了基于事件触发方案（ETS）的奇异马尔可夫跳变系统（smjs）的动态输出反馈（DOF）异步H∞$H_\infty$控制问题。为了节省网络资源，提出了一种动态ETS。此外，由于各种因素的影响，控制器模式和系统模式并不总是同步的，因此使用隐马尔可夫模型（HMM）来描述这种现象。首先，制定了保证系统具有H∞$H_\infty$性能的随机容许条件。其次，根据导出的条件得到自由度控制器；最后，通过两个算例验证了所提方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IET Control Theory and Applications 工程技术-工程：电子与电气

CiteScore

5.70

自引率

7.70%

发文量

167

审稿时长

5.1 months

期刊介绍： IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces. Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed. Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.