About the speaker
Hector Ramirez was born in Tomé, Chile, in 1981. He received the Eng. degree in electronic engineering and the M.Sc. degree in electrical engineering from the University of Concepción (UdeC) in 2006 and 2009, respectively. In 2012, he received the Ph.D. degree in automatic control from the University Claude Bernard Lyon 1 and the Ph.D. degree in electrical engineering from UdeC. In 2012, he joined the University of Bourgogne - Franche-Comté (UBFC) and the Department of Automatic Control and Micro Mechatronic Systems (AS2M) at the FEMTO-ST research institute as a postdoc, and in 2013 as an assistant professor. In 2019, he obtained the French HDR from UBFC. In 2019, he joined the Department of Electronic Engineering of the Technical University Federico Santa María (UTFSM) and the Advanced Center for Electrical and Electronic Engineering (AC3E) in Chile. He currently holds a position as associate professor at UTFSM and is the director and head of the research group on Control and Automation at AC3E. His research interests include port-Hamiltonian systems, modeling and control of multi-physical systems, and control of partial differential equations. He is a member of the IFAC technical committees on nonlinear control systems (TC 2.3) and distributed parameter systems (TC 2.6), and the IEEE CSS technical committee on distributed parameter systems (DPS).
Abstract
A comprehensive overview of the irreversible port-Hamiltonian system’s formulation for finite and infinite dimensional systems defined on 1D spatial domains is provided in a unified manner. The irreversible port-Hamiltonian system formulation shows the extension of classical port-Hamiltonian system formulations to cope with irreversible thermodynamic systems for finite and infinite dimensional systems. This is achieved by including, in an explicit manner, the coupling between irreversible mechanical and thermal phenomena with the thermal domain as an energy-preserving and entropy-increasing operator. Similarly to Hamiltonian systems, this operator is skew-symmetric, guaranteeing energy conservation. To distinguish from Hamiltonian systems, the operator depends on co-state variables and is, hence, a nonlinear-function in the gradient of the total energy. This is what allows encoding the second law as a structural property of irreversible port-Hamiltonian systems. The formalism encompasses coupled thermo-mechanical systems and purely reversible or conservative systems as a particular case. This appears clearly when splitting the state space such that the entropy coordinate is separated from other state variables. Several examples have been used to illustrate the formalism, both for finite and infinite dimensional systems, and a discussion on ongoing and future studies is provided.