Zárate-Navarro, Marco Antonio (Universidad Autónoma de Guadalajara), Schiavone-Valdez, Sergio D. (Universidad Autónoma de Guadalajara), Xie, Junyao (University of Alberta), Dubljevic, Stevan (Unversity of Alberta)

Thermodynamic Modeling of a Class of Distributed Systems with Diffusion

Scheduled for presentation during the Regular Session "Distributed Parameter Systems" (WeS2M), Wednesday, July 27, 2022, 13:40−14:00, Lassonde M-2103

IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, July 24-27, 2022 , Montreal, Canada

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

In this work, we aim at addressing thermodynamic modeling and passivity properties of a class of distributed parameter systems (DPSs) with dispersion that are described by partial differential equations (PDEs). The class of distributed parameter systems account for a general class of thermodynamic models with spatial-temporal characteristics. For this class of distributed systems, various contributions on stability analysis, control and estimator designs have been made in the existing literature. On a different note, this contribution aims at providing a thermodynamic perspective on the modeling of the transport processes and passivity using flux expressions based on thermodynamical driving forces. A linearized model is derived and an invertible linear transformation is applied to further simplify the model by eliminating the transport terms. A case study on an adiabatic tubular reactor with dispersion is used as an example.