Non-identifier based adaptive control of a chain of integrators and perturbations with unknown delays and parameters

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

Automatica Pub Date : 2024-10-18 DOI:10.1016/j.automatica.2024.111969

Xin Yu , Wei Lin

引用次数: 0

Abstract

This paper solves the problem of how to control a chain of integrators with unknown delays in both state and input by memoryless state feedback. Inspired by the non-identifier based adaptive control scheme (Lei and Lin, 2006) as well as the recent progress in stabilizing time-delay feedforward systems with unknown parameters via dynamic state compensation (Sun and Lin, 2023), we design a memoryless universal controller (finite-dimensional) which adaptively stabilizes the time-delay integrators whose all delays are not known a priori. As a byproduct of this development, global adaptive regulation of a class of nonlinear systems with unknown delays and unknown parameters is also solved by the proposed universal control strategy.

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具有未知延迟和参数的积分器和扰动链的非识别器自适应控制

本文解决了如何通过无记忆状态反馈控制状态和输入均为未知延迟的积分器链的问题。受基于非识别器的自适应控制方案（Lei 和 Lin，2006 年）以及最近通过动态状态补偿稳定具有未知参数的时延前馈系统的研究进展（Sun 和 Lin，2023 年）的启发，我们设计了一种无记忆通用控制器（有限维），它能自适应地稳定所有延迟都不已知的时延积分器。作为这一发展的副产品，所提出的通用控制策略还解决了一类具有未知延迟和未知参数的非线性系统的全局自适应调节问题。

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.