Exponential stability for switched semi-Markov jump systems with mode-dependent average dwell time and generally uncertain transition rates

IF 2.7 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Asian Journal of Control Pub Date : 2024-04-23 DOI:10.1002/asjc.3396

Bo Liu, Longsuo Li

引用次数: 0

Abstract

This paper investigates the exponential stability in mean square sense for a class of stochastic switched semi-Markov jump systems (ssSMJS). In this model, a hierarchical control switched regulation is designed, considering the external stochastic disturbances and generally uncertain transition rates (TRs) of the entire system and making the system more general and practical. By using appropriate Lyapunov–Krasovskii functional, linear matrix inequality, Jensen inequality, and mode-dependent average dwell time (MDADT), sufficient conditions on the exponential stability in mean square sense for ssSMJS are derived. Furthermore, a nonfragile state feedback controller is designed. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed criterion.

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具有模式依赖性平均停留时间和一般不确定转换率的切换式半马尔可夫跃迁系统的指数稳定性

本文研究了一类随机切换半马尔可夫跃迁系统（ssSMJS）的均方指数稳定性。在该模型中，考虑到外部随机扰动和整个系统普遍不确定的过渡率（TRs），设计了一种分层控制的开关调节，使系统更具通用性和实用性。通过使用适当的 Lyapunov-Krasovskii 函数、线性矩阵不等式、Jensen 不等式和与模式相关的平均停留时间 (MDADT)，推导出了 ssSMJS 在均方意义上指数稳定性的充分条件。此外，还设计了一种非脆弱状态反馈控制器。最后，提供了两个数值示例来证明所提标准的有效性。

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

Asian Journal of Control 工程技术-自动化与控制系统

CiteScore

4.80

自引率

25.00%

发文量

253

审稿时长

7.2 months

期刊介绍： The Asian Journal of Control, an Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) affiliated journal, is the first international journal originating from the Asia Pacific region. The Asian Journal of Control publishes papers on original theoretical and practical research and developments in the areas of control, involving all facets of control theory and its application. Published six times a year, the Journal aims to be a key platform for control communities throughout the world. The Journal provides a forum where control researchers and practitioners can exchange knowledge and experiences on the latest advances in the control areas, and plays an educational role for students and experienced researchers in other disciplines interested in this continually growing field. The scope of the journal is extensive. Topics include: The theory and design of control systems and components, encompassing: Robust and distributed control using geometric, optimal, stochastic and nonlinear methods Game theory and state estimation Adaptive control, including neural networks, learning, parameter estimation and system fault detection Artificial intelligence, fuzzy and expert systems Hierarchical and man-machine systems All parts of systems engineering which consider the reliability of components and systems Emerging application areas, such as: Robotics Mechatronics Computers for computer-aided design, manufacturing, and control of various industrial processes Space vehicles and aircraft, ships, and traffic Biomedical systems National economies Power systems Agriculture Natural resources.