Nonlinear model reduction of chemical reaction systems

We consider a broad class of nonisothermal, spatially homogeneous reaction systems, with fast and slow reactions. The dynamic model of such systems exhibits stiffness (time-scale multiplicity) but is not in a standard singularly perturbed form. For such systems, we address the derivation of reduced order nonlinear models of the slow dynamics, through (i) the identification of algebraic constraints that need to be satisfied in the slow time scale (e.g. reaction equilibrium constraint in the case of fast reversible reactions), and (ii) the derivation of state-space realizations of the resulting differential algebraic system that describes the slow dynamics.