Finite time stability condition for switched systems under restricted switching

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2024-10-10 DOI:10.1016/j.ejcon.2024.101125

Alpha M.M., Hari Kumar R., Lal Priya P.S.

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Abstract

Finite-time stability (FTS) has garnered considerable attention within the realm of control theory as a subject of active research. The objective of this paper is to explore the FTS of switched systems by employing a novel approach that relies on the concept of average dwell time (ADT). The ADT serves as a metric for quantifying the average duration a system remains in a specific mode prior to transitioning to a different mode. In this context, a condition that establishes the sufficiency of achieving FTS for a switched system has been derived in terms of the ADT and the corresponding Lyapunov function. Numerical simulations have been conducted to assess the efficacy of the proposed approach. Achieving a stable state within a specific time frame is crucial in many practical applications to meet desired performance requirements. The outcomes of this study have the potential to advance the development of more effective and reliable control systems across various engineering domains, including robotics, power systems, and transportation systems, which are often modeled as switched systems.

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受限开关下开关系统的有限时间稳定性条件

有限时间稳定性（FTS）作为一个活跃的研究课题，在控制理论领域引起了广泛关注。本文旨在采用一种依赖于平均停留时间（ADT）概念的新方法，探索开关系统的有限时间稳定性。ADT 是量化系统在过渡到不同模式前保持特定模式的平均持续时间的指标。在这种情况下，根据 ADT 和相应的 Lyapunov 函数推导出了一个条件，该条件确定了实现切换系统 FTS 的充分性。为了评估所提出方法的有效性，我们进行了数值模拟。在许多实际应用中，在特定时间框架内实现稳定状态对于满足所需的性能要求至关重要。本研究的成果有可能推动各种工程领域更有效、更可靠的控制系统的开发，包括机器人、电力系统和运输系统，这些系统通常被建模为开关系统。

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

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

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.