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1. Modeling transfer phenomena
Many methods for controlling transfer phenomena require mathematical modeling of these systems. At times, we also refer to the equations governing transfer phenomena as transport equations. By using equations that describe the flow of matter, energy or momentum, it is possible to obtain equations that describe the behavior over time of these systems. In this section, we provide a brief overview of some forms of partial differential equations. These models are representative of the types of PDEs that typically arise in the mathematical description of these transfer phenomena.
1.1 Local conservation laws and balance equations
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Modeling transfer phenomena
Model-based analysis of transfer phenomena
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Software tools
Generally speaking, the numerical tool used to synthesize control laws for partial differential equations (PDEs) is MATLAB with the Simulink module. Specialized tools include COMSOL Multiphysics, ANSYS, and other numerical modeling and simulation environments.
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IEEE Conference on Decision and Control
IFAC World Congress
IFAC Conference of Partial Differential Equations
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International Federation of Automatic Control https://www.ifac-control.org
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