Title :
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
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;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
