ENERGY BASED MODELING AND CONTROL OF CONTINUOUS CHEMICAL REACTORS UNDER ISOTHERMAL CONDITIONS

Abstract

The fundamental concept of energy helps to view any physical dynamical system as an energy transforming system. The energetic representation of chemical reaction systems has been an issue among researchers because of its dynamics,complexity and the difficulties generated by irrereversible thermodynamics. This paper is focusing on the specific case of isothermal chemical reactions in continuous reactors. An energy based model of such systems is proposed in this paper which can be said as quasi Port-Hamiltonian system (PHS) based on physical grounds. The model is taking care of the concentration space and reaction space of a chemical reaction. Reaction networks and stoichiometry have been given special importance  to define these formulations. The use of physical energy terms in the design of controller for open chemical systems is also achieved. Stoichiometric and Reaction interconnection and damping assignment passivity based controllers (IDA-PBC) are derived in this paper from the proposed Stoichiometric and Reaction energy basedmodels respectively by physicaly giving the energy function a desired form. The energetic point of view in enzymatic world has been shown to be quite relevant by application of this model and passivity based control to basic enzyme reaction example in open reactors. Real application of enzymatic hydrolysis of cellulose in continuous reactor is being taken and different possibilities to control the enzymatic hydrolysis are simulated and explained at the end.