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An iterative algorithm for dynamic optimization of systems with input-dependent hydraulic delays

Abstract : In this article, we propose a numerical algorithm capable of handling optimal control problems for a class of systems with input-dependent input hydraulic delays. Such delays are often observed in process industries. A careful look at the stationarity conditions allows us to derive an iterative algorithm approaching the solution of this problem by solving a series of simpler auxiliary instances. Interestingly, the algorithm is able to leverage state-of-the-art numerical optimization tools such as IPOPT. The proof of convergence is sketched, highlighting the relevance of the chosen algorithmic structure as a form of gradient descent in a functional space. The practical interest of the algorithm is evidenced on a numerical example, showing the desirable properties of convergence and the numerical efficiency.
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Submitted on : Thursday, December 20, 2018 - 10:10:08 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM

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  • HAL Id : hal-01962894, version 1

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Charles-Henri Clerget, Jean-Philippe Grimaldi, Mèriam Chèbre, Nicolas Petit. An iterative algorithm for dynamic optimization of systems with input-dependent hydraulic delays. 10th IFAC International Symposium on Advanced Control of Chemical Processes, Jul 2018, Shenyang, Liaoning, China. ⟨hal-01962894⟩

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