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Optimal Control of Systems Subject to Input-Dependent Hydraulic Delays

Abstract : 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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https://hal-mines-paristech.archives-ouvertes.fr/hal-03184360
Contributor : François Chaplais <>
Submitted on : Monday, March 29, 2021 - 1:59:05 PM
Last modification on : Wednesday, March 31, 2021 - 3:07:30 AM

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Charles-Henri Clerget, Nicolas Petit. Optimal Control of Systems Subject to Input-Dependent Hydraulic Delays. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2021, 66 (1), pp.245-260. ⟨10.1109/TAC.2020.2982862⟩. ⟨hal-03184360⟩

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