Decentralized prescribed-time input-to-state stabilization for interconnected normal form nonlinear systems

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-07-11 DOI:10.1016/j.automatica.2025.112480

Hefu Ye , Changyun Wen , James Lam , Petros A. Ioannou

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引用次数: 0

Abstract

Thus far, decentralized prescribed-time regulation of interconnected nonlinear systems with unknown control coefficients and persistent disturbances has remained unresolved, despite the prevalence of such scenarios in practical applications. This paper provides a systematic solution by integrating state-scaling-based time-varying feedback with a low-conservatism design framework. The stability analysis includes a comprehensive examination of the interconnection dynamics across subsystems, followed by a small-gain analysis for input-to-state stable (ISS) cascade systems. We rigorously prove that the proposed decentralized controllers can achieve global stabilization of the interconnected system within a user-defined time, without requiring prior knowledge of interconnected strengths. A key technical lemma is established, enabling the demonstration that the designed control strategy is robust against persistent disturbances and interconnected uncertainties while also facilitating the derivation of a relaxed condition for the small-gain theorem. The effectiveness of the proposed framework is validated using numerical simulations and a practical case study on room temperature regulation, with results confirming both theoretical guarantees and practical applicability.

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互连范式非线性系统的分散规定时间输入-状态镇定

到目前为止，具有未知控制系数和持续干扰的互连非线性系统的分散规定时间调节仍然没有得到解决，尽管这种情况在实际应用中普遍存在。本文通过将基于状态标度的时变反馈与低保守性设计框架相结合，提供了一种系统的解决方案。稳定性分析包括对子系统间互连动态的全面检查，然后是对输入到状态稳定级联系统的小增益分析。我们严格地证明了所提出的分散控制器可以在用户定义的时间内实现互联系统的全局稳定，而不需要预先了解互联强度。建立了一个关键的技术引理，证明了所设计的控制策略对持续干扰和相互关联的不确定性具有鲁棒性，同时也促进了小增益定理松弛条件的推导。通过数值模拟和室内温度调节的实际案例研究验证了该框架的有效性，结果证实了理论保证和实际适用性。

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

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.