An optimization-based method for robust stabilization of linear delay systems

IF 3.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

International Journal of Robust and Nonlinear Control Pub Date : 2024-08-27 DOI:10.1002/rnc.7603

Renhong Hu, Jie Mei, Guangfu Ma

引用次数: 0

Abstract

This paper investigates the robust stabilization problem of linear delay systems with parametric uncertainty. First, by means of the argument principle, a delay-dependent sufficient condition is derived for designing a feedback controller, with which the closed-loop system can achieve robust stability. Then, based on the fundamental matrix of the linear delay systems, a constrained optimization problem is formulated for solving the feedback gain matrices. The effectiveness of the proposed method is verified by some simulation results.

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基于优化的线性延迟系统鲁棒稳定方法

本文研究了具有参数不确定性的线性延迟系统的鲁棒稳定问题。首先，通过论证原理，为设计反馈控制器推导出一个依赖于延迟的充分条件，有了这个条件，闭环系统就能实现鲁棒稳定。然后，基于线性延迟系统的基本矩阵，提出了一个求解反馈增益矩阵的约束优化问题。一些仿真结果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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来源期刊

International Journal of Robust and Nonlinear Control 工程技术-工程：电子与电气

CiteScore

6.70

自引率

20.50%

发文量

505

审稿时长

2.7 months

期刊介绍： Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.