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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Bibliographic Details
Published in:IEEE transactions on automatic control Vol. 66; no. 1; pp. 245 - 260
Main Authors: Clerget, Charles-Henri, Petit, Nicolas
Format: Journal Article
Language:English
Published: New York IEEE 01.01.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Subjects:
Algorithms
Automatic
Calculus
Calculus of variations
Control systems
Convergence
Delays
Engineering Sciences
Hydraulic systems
Input-dependent delays
Iterative algorithms
Iterative methods
Mathematical analysis
Optimal control
Optimization
variable time delays
ISSN:0018-9286, 1558-2523
Online Access:Get full text
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Summary: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.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2020.2982862