一类非完整系统的时变动态反馈全局定时控制

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

Systems & Control Letters Pub Date : 2025-06-10 DOI:10.1016/j.sysconle.2025.106140

Kang-Kang Zhang, Huaiyuan Jiang, Bin Zhou, Guang-Ren Duan

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引用次数: 0

摘要

研究了一类具有时变漂移项的非完整系统的全局定时控制问题。利用时变高增益函数，构造了一种新的时变类振子微分方程。然后利用该方程产生的辅助状态，对（高阶）扩展海森堡系统提出了时变动态反馈控制器。证明了闭环系统的状态在任意给定时间收敛于零，并且控制是有界的。作为应用，研究了两种物理系统的规定时间控制问题。数值仿真验证了所提方法的有效性。

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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Global prescribed-time control of a class of nonholonomic systems by time-varying dynamic feedback

In this paper, the global prescribed-time control problem of a class of nonholonomic systems with time-varying drift terms is investigated. By using time-varying high-gain function, a novel time-varying oscillator-like differential equation is constructed. Then with the aid of the auxiliary state generated by such an equation, time-varying dynamic feedback controllers are proposed for the (high-order) extended Heisenberg systems. It is proved that the state of the closed-loop system converges to zero at any prescribed time and the controls are bounded. As applications, the prescribed-time control problems for two physical systems are studied. Numerical simulations verify the effectiveness of the proposed methods.

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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.