Parameter Estimation of Nonlinear Systems

Vöröš, Juraj, Mikleš, Ján and Čirka, Ľuboš Parameter Estimation of Nonlinear Systems Acta Chimica Slovaca, Vol.1, No. 1, 2008, 309-320

Document type: Článok z časopisu / Journal Article
Collection: Acta Chimica Slovaca  
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Author(s) Vöröš, Juraj
Mikleš, Ján
Čirka, Ľuboš
Title Parameter Estimation of Nonlinear Systems
Journal name Acta Chimica Slovaca
Publication date 2008
Year available 2008
Volume number 1
Issue number 1
ISBN 978-80-227-2957-4
Start page 309
End page 320
Total pages 12
Place of publication Bratislava
Publisher Slovak Technical University
Collection year 2008
Language english
Subject 290000 Engineering and Technology
290600 Chemical Engineering
290602 Process Control and Simulation
Abstract/Summary In this work, a continuous-time extended Kalman filter (EKF) is presented, which allows the parameters of nonlinear systems to be estimated. The idea of the extended Kalman filter is extending the linearized Kalman filter to directly estimate the states of a nonlinear system and linearizing the nonlinear system around the Kalman filter estimate. Two mathematical models, an interacting tank-in-series process and continuous stirred-tank reactor (CSTR), are introduced. EKF is used to estimate constants k11 and k22 for interacting tank-in-series process and temperature of reaction mixture ϑ and frequency factor k0 for CSTR.
Keyword(s) Extended Kalman filter
nonlinear systems
parameters estimation
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