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

  • J. Carrillo-Ahumada Instituto de Química Aplicada. Universidad del Papaloapan
  • D.E. Paramo-Calderón Instituto de Biotecnología. Universidad del Papaloapan
  • A. Aparicio-Saguilán Instituto de Biotecnología. Universidad del Papaloapan
  • G.C. Rodríguez-Jimenes Departamento de Ingeniería Química y Bioquímica
  • M.A. García-Alvarado Departamento de Ingeniería Química y Bioquímica
Keywords: nonlinear systems, linearization, Taylor series, (bio)chemical reactors

Abstract

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.

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Published
2020-02-17
How to Cite
Carrillo-Ahumada, J., Paramo-Calderón, D., Aparicio-Saguilán, A., Rodríguez-Jimenes, G., & García-Alvarado, M. (2020). APPROACH OF A MEASUREMENT OF LINEARIZED REPRESENTATION OF A NONLINEAR SYSTEM. APPLICATION TO (BIO)CHEMICAL REACTORS. Revista Mexicana De Ingeniería Química, 13(2), 631-647. Retrieved from http://www.rmiq.org/ojs311/index.php/rmiq/article/view/1358
Section
Simulation and control