Finite-time stabilization for strict-feedback nonlinear systems with impulse effects

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2025-05-29 DOI:10.1016/j.sysconle.2025.106139

Debao Fan, Xianfu Zhang, Zhiyu Duan, Hanfeng Li

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Abstract

This paper studies the finite-time stabilization (FTS) of strict-feedback nonlinear systems (SFNSs) with impulse effects. The significant system characteristics, i.e., complex impulse effects, time-varying growth rates, and higher-order nonlinearities, render existing finite-time control schemes inapplicable. To overcome these challenges, we apply a dual dynamic gain approach with a state transformation to transform the FTS problem into a problem of constructing dynamic equations. Then, the relationship between the system structure, impulse effect and settling time is delicately revealed. The results show that under the constructed controller, all the closed-loop signals are bounded, the system states converge to the origin in finite time, and the settling time is effectively estimated despite the presence of impulse effects. In addition, by enhancing the gain updating mechanism, we establish an improved finite-time control scheme for systems with low-order and high-order nonlinearities. The effectiveness of the finite-time control scheme is demonstrated by an engineering example.

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具有脉冲效应的严格反馈非线性系统的有限时间镇定

研究了具有脉冲效应的严格反馈非线性系统的有限时间镇定问题。重要的系统特性，即复杂的脉冲效应、时变的增长率和高阶非线性，使得现有的有限时间控制方案不适用。为了克服这些挑战，我们采用带状态变换的对偶动态增益方法将FTS问题转化为构造动态方程的问题。然后，揭示了系统结构、脉冲效应与沉降时间之间的关系。结果表明，在所构建的控制器下，所有闭环信号都是有界的，系统状态在有限时间内收敛到原点，并且在存在脉冲效应的情况下，仍能有效地估计系统的沉降时间。此外，通过增强增益更新机制，我们建立了一种针对低阶和高阶非线性系统的改进有限时间控制方案。通过工程实例验证了有限时间控制方案的有效性。

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

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.