p-正规非线性系统的周期延迟反馈定时镇定

IF 2.5 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2025-10-10 DOI:10.1016/j.sysconle.2025.106261

Yi Ding , Bin Zhou , Wim Michiels

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引用次数: 0

摘要

研究了p-正规非线性系统的定时镇定问题。针对一类不确定p-正态非线性系统，设计了一种由时间直接参数化的周期延迟反馈控制律。通过在控制器中人为地加入时滞项，所提出的控制律使用一致有界的控制增益有效地解决了所考虑的问题。值得注意的是，所提出的控制律在任何给定时间都有明确的定义，从而规避了时变高增益反馈的固有奇异性。最后，给出了两个数值算例，验证了该方法的有效性。

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Prescribed-time stabilization of p-normal nonlinear systems by periodic delayed feedback

In this paper, the problem of prescribed-time stabilization of

p

-normal nonlinear systems is investigated. A novel periodic delayed feedback control law, parameterized directly by the prescribed time, is designed for a class of uncertain

p

-normal nonlinear systems. With the artificial inclusion of a time delay term in the controller, the proposed control law effectively addresses the considered problem using a uniformly bounded control gain. Notably, the proposed control law has a clear definition at any given time, thus circumventing the inherent singularity associated with time-varying high-gain feedback. Moreover, two numerical examples are provided to demonstrate the effectiveness of the proposed approach.

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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.