Linear-quadratic optimal control for time-varying descriptor systems via space decompositions

被引：0

作者：

Lü Pengchao ^{[1
]}

Huang Junjie ^{[1
]}

Liu Bo ^{[2
]}

机构：

[1] School of Mathematical Sciences, Inner Mongolia University

[2] Ministry of Education Key Laboratory for Intelligent Analysis and Security Governance of Ethnic Languages,Minzu University of China

来源：

The Journal of China Universities of Posts and Telecommunications | 2023年 / 30卷 / 06期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.19682/j.cnki.1005-8885.2023.1011

中图分类号：

O232 [最优控制];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

This paper aims at solving the linear-quadratic optimal control problems(LQOCP) for time-varying descriptor systems in a real Hilbert space.By using the Moore-Penrose inverse theory and space decomposition technique, the descriptor system can be rewritten as a new differential-algebraic equation(DAE), and then some novel sufficient conditions for the solvability of LQOCP are obtained.Especially, the methods proposed in this work are simpler and easier to verify and compute, and can solve LQOCP without the range inclusion condition. In addition, some numerical examples are shown to verify the results obtained.

引用

页码：38 / 48

页数：11

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