Interconnection of irreversible port Hamiltonian systems☆

被引：0

作者：

Ramirez, Hector ^{[1
]}

Le Gorrec, Yann ^{[2
]}

机构：

[1] Univ Tecn Federico St Maria, Dept Elect, Valparaiso, Chile

[2] Univ Bourgogne Franche Comte, Dept Automat & Syst Micromecatron, FEMTO ST UMR CNRS 6174, 26 Chemin Epitaphe, F-25030 Besancon, France

来源：

AUTOMATICA | 2024年 / 170卷

关键词：

Port-Hamiltonian systems; Irreversible thermodynamics; Thermo-mechanical systems; Port-based modeling; State modulated output feedback; PASSIVITY-BASED CONTROL; DYNAMICS;

D O I：

10.1016/j.automatica.2024.111846

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper shows how the interconnection of two controlled Irreversible port Hamiltonian Systems has to be state and co-state modulated in order to ensure the closed-loop Irreversible port Hamiltonian structure, satisfying the first and second laws of Thermodynamics. It proposes a precise parametrization of this modulation from the open-loop systems structures in order to guarantee the consistency of the closed loop energy and entropy balance equations. The results are illustrated by means of the examples of a heat-exchanger, a gas-piston system and a chemical reaction. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：7

共 50 条

[1] On the interconnection of irreversible port-Hamiltonian systems
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[J]. IFAC PAPERSONLINE, 2023, 56 (01): : 114 - 119
[2] Port maps of Irreversible Port Hamiltonian Systems
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[J]. IFAC PAPERSONLINE, 2023, 56 (02): : 6796 - 6800
[3] Control by interconnection of mixed port Hamiltonian systems
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Melchiorri, C
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) : 1839 - 1844
[4] An Overview on Irreversible Port-Hamiltonian Systems
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[J]. ENTROPY, 2022, 24 (10)
[5] On the Generating Functions of Irreversible port-Hamiltonian Systems
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[J]. IFAC PAPERSONLINE, 2023, 56 (02): : 10447 - 10452
[6] Boundary controlled irreversible port-Hamiltonian systems
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[J]. CHEMICAL ENGINEERING SCIENCE, 2022, 248
[7] Observer design for a class of irreversible port Hamiltonian systems
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[J]. INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, 2023, 13 (01): : 26 - 34
[8] Interconnection of port-Hamiltonian systems and composition of Dirac structures
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[J]. AUTOMATICA, 2007, 43 (02) : 212 - 225
[9] New insights in the geometry and interconnection of port-Hamiltonian systems
Barbero-Linan, M.
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[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (37)
[10] Canonical interconnection of discrete linear port-Hamiltonian systems
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Marquis-Favre, Wilfrid
[J]. 2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 3166 - 3171

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