In this paper, we extend recent results on adaptiveextremumseekingcontrol to a class of nonlinear distributed parameter systems. We address the real-time optimization of a chemical reaction that occurs in atubularreactor described by an hyperbolic set of partial differential equations. An estimation and acontrol algorithm that take into account temperature constraints are developed based on a Lyapunov functional. We apply the algorithm to the on-line optimization of the Williams–Otto reaction where the kinetics are assumed a priori unknown. The result of this algorithm is a feedback profile control that steers the system to its optimum.
Affiliations
Queen's UniversityChemical Engineering Department
Ecole Poytechnique de MontréalDépartement de Génie chimique
Hudon, N., Perrier, M., Guay, M., & Dochain, D. (2005). Adaptive extremum seeking control of a nonisothermal tubular reactor with unknown kinetics. Computers & Chemical Engineering, 29(4), 839-849. https://doi.org/10.1016/j.compchemeng.2004.09.019 (Original work published 2005)