Thermodynamics based stabilitization of CSTR networks

In this work, we show that any potential function fulfilling certain thermodynamic stability criteria can be used as a storage function for the Port based modeling of the non isothermal Continuous Stirred Tank Reactor (CSTR) model using the Brayton-Moser formulation without any restriction on the chemical reaction kinetics. By means of an extended IDA-PBC (Interconnection and Damping Assignment-Passivity Based Control) approach, the closed loop energy is then shaped to be equal to the thermal part of the availability with the heat flowrate as the only control input. Some numerical simulations illustrate the theoretical developments.