Optimal Control of Systems Subject to Input-Dependent Hydraulic Delays

In this article, we study the optimal control of systems subject to input-varying hydraulic delays, i.e., systems where the delay on the input depends on the past values of the input through a specific integral relation. The calculus of variations of this problem reveals its nondifferentiable nature...

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Vydané v:IEEE transactions on automatic control Ročník 66; číslo 1; s. 245 - 260
Hlavní autori: Clerget, Charles-Henri, Petit, Nicolas
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York IEEE 01.01.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
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ISSN:0018-9286, 1558-2523
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Shrnutí:In this article, we study the optimal control of systems subject to input-varying hydraulic delays, i.e., systems where the delay on the input depends on the past values of the input through a specific integral relation. The calculus of variations of this problem reveals its nondifferentiable nature. Then, a smooth relaxation is proposed to derive an iterative optimization algorithm. A convergence proof is detailed. The practical interest of the algorithm is evidenced on a numerical example.
Bibliografia:ObjectType-Article-1
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content type line 14
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2020.2982862