On optimal control for linear distributed time-delay systems

This article presents the solution to the infinite horizon optimal control problem for linear distributed time-delay systems. It is based on the use of the Cauchy solution for distributed time-delay systems. In contrast to previous results for systems with concentrated delays, the form of the functi...

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Bibliographic Details
Published inSystems & control letters Vol. 177; p. 105548
Main Authors Ortega-Martínez, Jorge-Manuel, Santos-Sánchez, Omar-Jacobo, Rodríguez-Guerrero, Liliam, Mondié, Sabine
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2023
Subjects
Bellman functional
Distributed time-delay systems
Dynamic programming
Lyapunov matrix
Optimal control
Bellman functional
Lyapunov matrix
Distributed time-delay systems
Dynamic programming
Optimal control
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Summary:This article presents the solution to the infinite horizon optimal control problem for linear distributed time-delay systems. It is based on the use of the Cauchy solution for distributed time-delay systems. In contrast to previous results for systems with concentrated delays, the form of the functional and its properties are formally justified. An important property is demonstrated: the Bellman functional admits upper and lower bounds; thus, it is proved to be positive definite. Additionally, some experimental results of a temperature process are presented.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2023.105548