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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| Vydáno v: | IEEE transactions on automatic control Ročník 66; číslo 1; s. 245 - 260 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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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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| 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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| AbstractList | 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. |
| Author | Clerget, Charles-Henri Petit, Nicolas |
| Author_xml | – sequence: 1 givenname: Charles-Henri orcidid: 0000-0002-8879-5586 surname: Clerget fullname: Clerget, Charles-Henri email: cclerget@mit.edu organization: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA – sequence: 2 givenname: Nicolas orcidid: 0000-0003-3581-3856 surname: Petit fullname: Petit, Nicolas email: nicolas.petit@mines-paristech.fr organization: Centre Automatique et Systèmes, MINES ParisTech, PSL, Paris, France |
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| SubjectTerms | 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 |
| Title | Optimal Control of Systems Subject to Input-Dependent Hydraulic Delays |
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