Tracking-error passivity-based control approach for the stabilization of chemical reaction systems using partially decoupled dynamics

Abstract

This work aims to develop a passivity-based control method for a non-isothermal homogeneous reaction system by integrating its partially decoupled dynamics based on the concept of reaction variants/invariants with the tracking-error-based strategy in the framework of port-Hamiltonian (PH) representation. More precisely, the original reactor dynamics is transformed into an alternative model, expressed in terms of enthalpy, reaction-variant and reaction-invariant states, using a linear transformation, associated with stoichiometric matrix. From this, it is shown that without using any state or input coordinate transformations, the transformed reactor model can be formulated into an extended class of PH systems with a unified quadratic storage function usable for control design. An irreversible first-order reaction system having multiple steady states and occurring in a continuous stirred tank reactor is utilized to illustrate the proposed control method. Simulations show that the closed-loop system is globally exponentially stabilized at the desired equilibrium point.