An optimization algorithm for H∞ control of linear delay systems

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-03-01 DOI:10.1016/j.ejcon.2025.101202

Kunlong Bao , Yuhao Cong , Guang-Da Hu

引用次数: 0

Abstract

In this paper, the

H_{\infty}

control problem of linear delay systems is investigated. We first present a

H_{\infty}

performance level under the asymptotic stability of linear delay systems. Then by means of the state transition matrix of linear delay systems, the

H_{\infty}

control problem is transformed into a non-smooth optimization problem. Furthermore, an optimization algorithm based on the gradient sampling (GS) method is proposed to solve the non-smooth optimization problem. Finally, numerical examples are given to illustrate the effectiveness of the proposed algorithm.

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线性延迟系统H∞控制的优化算法

研究了线性时滞系统的H∞控制问题。首先给出了线性时滞系统在渐近稳定条件下的H∞性能水平。然后利用线性时滞系统的状态转移矩阵，将H∞控制问题转化为非光滑优化问题。在此基础上，提出了一种基于梯度采样（GS）方法的优化算法来解决非光滑优化问题。最后通过数值算例说明了该算法的有效性。

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

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.