An optimization algorithm for H∞ control of linear delay systems

被引：0
作者：
Bao, Kunlong [1 ]
Cong, Yuhao [1 ,2 ]
Hu, Guang-Da [1 ,2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Customs Coll, Shanghai 201204, Peoples R China
来源：
EUROPEAN JOURNAL OF CONTROL | 2025年 / 83卷
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
H-infinity control; Linear delay systems; Non-smooth optimization; Disturbance; GRADIENT SAMPLING ALGORITHM; TIME-VARYING DELAY; STABILITY ANALYSIS; DESIGN; NONSMOOTH; CONSTANT;
D O I：
10.1016/j.ejcon.2025.101202
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the H infinity control problem of linear delay systems is investigated. We first present a H infinity performance level under the asymptotic stability of linear delay systems. Then by means of the state transition matrix of linear delay systems, the H infinity 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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页数：11
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