An EKF based on an enhanced model for parameter estimation in bioprocesses

Author

Ascendo, P. ; Sbarbaro, D.

Author_Institution

Depto. de Ing. Electr., Univ. de Concepcion, Concepcion, Chile

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

3816

Lastpage

3821

Abstract

This work presents an Extended Kalman Filter (EKF) for estimating the kinetic rates in bioprocesses. The unknown kinetic rates are modeled as the output of a linear system persistently excited. The gain of the filter is designed by the Ricatti differential equation. The stability and convergence are analyzed using Lyapunov functions. To illustrate the application of this observer, the estimation of the kinetic rates of a single microbial culture is presented.

Keywords

Kalman filters; Lyapunov methods; Riccati equations; biotechnology; convergence; differential equations; linear systems; nonlinear filters; parameter estimation; reaction kinetics; stability; EKF; Lyapunov functions; Ricatti differential equation; bioprocesses; convergence analysis; extended Kalman filter; kinetic rate estimation; linear system; parameter estimation; reaction kinetics; single microbial culture; stability analysis; Biological system modeling; Convergence; Differential equations; Equations; Kinetic theory; Mathematical model; Observers; Bioprocesses; EKF; Lyapunov stability; Riccati differential equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076529