The port Hamiltonian approach to modeling and control of Continuous Stirred Tank Reactors

By N. Hoang, Françoise Couenne, Christian Jallut, Yann Le Gorrec. 2011

107 citations recorded by the source corpus.

Abstract This paper proposes a thermodynamical pseudo-Hamiltonian formulation of Continuous Stirred Tank Reactor model in which takes place some chemical reaction. This is done both in the isothermal and non isothermal cases. It is shown that the Gibbs free energy and the opposite of entropy can be chosen as Hamiltonian function respectively. For the non isothermal case, the so-called Interconnection and Damping Assignment Passivity Based Control method is applied to stabilize the system at a desired state. For this general reaction scheme, the control problem is shown to be easy to solve as soon as the closed loop Hamiltonian function is chosen to be proportional to the so-called thermodynamic availability function. Simulation results based on a simple first order reaction and operating conditions leading to multiple steady states of the CSTR are given to validate the proposed control design procedure.

Subfields: Control and Systems Engineering, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/c823d4597e8bb97c841ef7c094f2b9246822f492

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In Control and Systems Engineering

1. Christian Jallut
2. Yann Le Gorrec
3. Françoise Couenne

Citations in the corpus

• Lyapunov-based control of non isothermal continuous stirred tank reactors using irreversible thermodynamics (2012, background): “At the same time numerous works have been devoted to the modeling of irreversible thermodynamic systems using the port Hamiltonian framework [13, 15, 21, 32, 25].”