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.

中文翻译：

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不可逆端口哈密顿系统的互连


本文展示了两个受控不可逆端口哈密顿系统的互连如何必须进行状态和共状态调制，以确保闭环不可逆端口哈密顿结构，满足热力学第一和第二定律。它提出了对开环系统结构的这种调制的精确参数化，以保证闭环能量和熵平衡方程的一致性。通过热交换器、气体活塞系统和化学反应的例子来说明结果。