Two approaches in the design of an asymptotic observer for a fermentative process described by partial differential equations [Dos enfoques en el diseño de un observador asintótico para un proceso fermentativo descrito por ecuaciones diferenciales parciales]

This paper presents two approaches for the design of an asymptotic observer for a fermentative process described by partial differential equations (PDE). In the first approach, termed late lumping, the observer is designed for the PDE model and then both the observer and the model are reduced to a set of ordinary differential equations (ODE) by means of the Orthogonal Collocation Method (OCM). In the second approach, termed early lumping, the PDE model is initially reduced to an ODE set by using the OCM and then the asymptotic observer is designed for the reduced model. The study demonstrates that by analyzing the estimation error dynamics for both design approaches, the dynamic behavior of the asymptotic observer is fully independent of the design approach used. © 2007 Centro de Información Tecnológica