APPROACH OF A MEASUREMENT OF LINEARIZED REPRESENTATION OF A NONLINEAR SYSTEM. APPLICATION TO (BIO)CHEMICAL REACTORS

A new criterion of measurement was proposed to determine the representation of a linearized system with respect to nonlinear system. This criterion is based on the Taylor series expansion of nonlinear system and was applied to three (bio)chemical reactors including the Cholette's bioreactor with multiple inputs, outputs and steady states; a reactor with enzymatic reaction and a chemical reactor. Current approach considers that matrix elements resulting from left division of matrices containing second-order and first-order partial derivatives should be smaller than deviations from the nominal values. With this analysis, is possible to determine the influence of each bifurcation parameter on the nonlinear system for simulation and control applications.