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.
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