Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Control Methods for the Optimization of Plasma Scenarios in a Tokamak Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Parameter Estimation Algorithms for Kinetic Modeling from Noisy Data

Authors : Fabiana Zama, Dario Frascari, Davide Pinelli, A. E. Molina Bacca

Published in: System Modeling and Optimization

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The aim of this work is to test the Levemberg Marquardt and BFGS (Broyden Fletcher Goldfarb Shanno) algorithms, implemented by the matlab functions lsqnonlin and fminunc of the Optimization Toolbox, for modeling the kinetic terms occurring in chemical processes of adsorption. We are interested in tests with noisy data that are obtained by adding Gaussian random noise to the solution of a model with known parameters. While both methods are very precise with noiseless data, by adding noise the quality of the results is greatly worsened. The semi-convergent behaviour of the relative error curves is observed for both methods. Therefore a stopping criterion, based on the Discrepancy Principle is proposed and tested. Great improvement is obtained for both methods, making it possible to compute stable solutions also for noisy data.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Modeling and Control of Low-Frequency Electromagnetic Fields in Multiply Connected Conductors
Literature
1.
Ciavarelli, R., Cappelletti, M., Fedi, S., Pinelli, D., Frascari, D.: Chloroform aerobic cometabolism by butane-growing rhodococcus aetherovorans BCP1 in continuous-flow biofilm reactors. Bioprocess Biosyst. Eng. 35(5), 667–681 (2012)CrossRef
2.
Frascari, D., Cappelletti, M., Fedi, S., Verboschi, A., Ciavarelli, R., Nocentini, M., Pinelli, D.: Application of the growth substrate pulsed feeding technique to a process of chloroform aerobic cometabolism in a continuous-flow sand-filled reactor. Process Biochem. 47(11), 1656–1664 (2012)CrossRef
3.
Zama, F., Ciavarelli, R., Frascari, D., Pinelli, D.: Numerical parameters estimation in models of pollutant transport with chemical reaction. In: Hömberg, D., Tröltzsch, F. (eds.) System Modeling and Optimization. volume 391 of IFIP Advances in Information and Communication Technology, pp. 547–556. Springer, Heidelberg (2013)CrossRef
4.
Frascari, D., Bacca, A.E.M., Zama, F., Bertin, L., Fava, F., Pinelli, D.: Olive mill wastewater valorisation through phenolic compounds adsorption in a continuous flow column. Chem. Eng. J. 283, 293–303 (2016)CrossRef
5.
Fletcher, R.: Practical Methods of Optimization. Wiley, Hoboken (2013)MATH
6.
Nocedal, J., Wright, S.J.: Numerical Optimization, 2nd edn. Springer, New York (2006)MATH
7.
Scherzer, O.: The use of Morozov’s discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems. Computing 51(1), 45–60 (1993)MathSciNetCrossRefMATH
8.
Zama, F.: Parameter identification by iterative constrained regularization. J. Phys: Conf. Ser. 657(1), 012002 (2015). IOP publishing
9.
Elfving, T., Nikazad, T., Hansen, P.C.: Semi-convergence and relaxation parameters for a class of SIRT algorithms. Electron. Trans. Numer. Anal. 37, 321–336 (2010)MathSciNetMATH
10.
Engl, H.W., Hanke, M., Neubauer, A.: Regularization of Inverse Problems. Kluwer, Dordrecht (1996)CrossRefMATH
11.
Hanke, M.: Conjugate Gradient Type Methods for Ill-Posed Problems. Pitman Research Notes in Mathematics. Longman House, Harlow (1995). ISBN 0 582 27370 6MATH
Metadata
Title
Parameter Estimation Algorithms for Kinetic Modeling from Noisy Data
Authors
Fabiana Zama
Dario Frascari
Davide Pinelli
A. E. Molina Bacca
Copyright Year
2016
Book
System Modeling and Optimization

Print ISBN: 978-3-319-55794-6

Electronic ISBN: 978-3-319-55795-3

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-55795-3_49

Premium Partner

    Image Credits