Decentralized control of impulsive interconnected switched positive time-delay systems under MDMDT switching

IF 6.5 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS ISA transactions Pub Date : 2025-03-01 Epub Date: 2025-01-23 DOI:10.1016/j.isatra.2025.01.015

Shuo Li , Zilan Chen , Yongqi Jia , Chengdi Xiang , Zhengrong Xiang

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Abstract

The paper addresses the issue of decentralized control with positivity constraint for impulsive interconnected switched positive systems (IISPSs) with mixed time-varying delays coexisting in the state term and the interconnection term under mode-dependent minimum dwell time (MDMDT) switching. Firstly, a positivity criterion of IISPSs is given from the aspect of sufficiency and necessity. Next, through adopting a new discretized linear copositive Lyapunov–Krasovskii functional approach, a sufficient stability criterion of IISPSs under MDMDT constraint is presented. Then, utilizing the method of matrix decomposition, for the mode-dependent controller gains, a valid decentralized controller design scheme in the mode-dependent piece-wise form with formulated linear programming (LP) condition is given for IISPSs under MDMDT constraint. Furthermore, the proposed decentralized control design can degenerate into the one for the case that mixed delay does not lie in IISPSs. At last, three examples are presented to verify the validity of decentralized control design.

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MDMDT 切换下脉冲互联开关正时延系统的分散控制。

研究了模式相关最小停留时间（MDMDT）切换下状态项和连接项同时存在混合时变时滞的脉冲互联切换正系统（iisps）的正约束分散控制问题。首先，从充分性和必要性两个方面给出了信息服务提供者的正定性标准。其次，通过采用一种新的离散化线性组合Lyapunov-Krasovskii泛函方法，给出了MDMDT约束下iisps的充分稳定性判据。然后，利用矩阵分解的方法，针对模态相关的控制器增益，给出了MDMDT约束下iisps的有效的模态相关分段分散控制器设计方案，并给出了公式线性规划（LP）条件。此外，所提出的分散控制设计可以退化为混合延迟不存在于iisps中的分散控制设计。最后，通过三个算例验证了分散控制设计的有效性。

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来源期刊

ISA transactions 工程技术-工程：综合

CiteScore

11.70

自引率

12.30%

发文量

824

审稿时长

4.4 months

期刊介绍： ISA Transactions serves as a platform for showcasing advancements in measurement and automation, catering to both industrial practitioners and applied researchers. It covers a wide array of topics within measurement, including sensors, signal processing, data analysis, and fault detection, supported by techniques such as artificial intelligence and communication systems. Automation topics encompass control strategies, modelling, system reliability, and maintenance, alongside optimization and human-machine interaction. The journal targets research and development professionals in control systems, process instrumentation, and automation from academia and industry.