Skip to main content
Top

2021 | OriginalPaper | Chapter

Application of Unscented Kalman Filter for Parameter Estimation of Nonlinear Systems

Authors : Urmila Solanki, Ganesh P. Prajapat, Manoj Chhimpa

Published in: Advances in Information Communication Technology and Computing

Publisher: Springer Singapore

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

search-config
loading …

Abstract

Sometimes the parameters of a system dynamics are not exactly known while these are required to set the control law and update the existing control scheme. This becomes much difficult when the dynamics of the system is nonlinear. Thus, this paper deals with the estimation of the parameters of a nonlinear system using unscented Kalman filter (UKF). The UKF handles the nonlinear dynamics without linearization and approximation during the estimation and hence estimates the parameters as well as states perfectly. A well-known example of nonlinear dynamics, Van Der Pol oscillator system, has been used to illustrate the parameter estimation. The simulation of the Van Der Pol oscillator has been done first to generate the measurements, and then, the state and measurement model of the system have been setup which further have been used during the estimation.

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!

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!

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!

Literature
1.
go back to reference Julier SJ, Uhlmann JK (2004) Unscented filtering and nonlinear estimation. Proc IEEE 92(3):401–422CrossRef Julier SJ, Uhlmann JK (2004) Unscented filtering and nonlinear estimation. Proc IEEE 92(3):401–422CrossRef
2.
go back to reference Yazdanian M, Mehrizi-Sani A, Mojiri M (2015) Estimation of electromechanical oscillation parameters using an extended kalman filter. IEEE Trans Power Syst 30(6):2994–3002CrossRef Yazdanian M, Mehrizi-Sani A, Mojiri M (2015) Estimation of electromechanical oscillation parameters using an extended kalman filter. IEEE Trans Power Syst 30(6):2994–3002CrossRef
3.
go back to reference Ghahremani E, Kamwa I (2011) Online state estimation of a synchronous generator using unscented Kalman filter from phasor measurements units. Energy Convers IEEE Trans 26(4):1099–1108CrossRef Ghahremani E, Kamwa I (2011) Online state estimation of a synchronous generator using unscented Kalman filter from phasor measurements units. Energy Convers IEEE Trans 26(4):1099–1108CrossRef
4.
go back to reference Azad SP, Tate JE (2011) Parameter estimation of doubly fed induction generator driven by wind turbine. Phoenix, AZ, pp 1–8 Azad SP, Tate JE (2011) Parameter estimation of doubly fed induction generator driven by wind turbine. Phoenix, AZ, pp 1–8
5.
go back to reference Wan EA, Van Der Merwe R (2002) The unscented Kalman filter for nonlinear estimation. In: Proceedings of the IEEE 2000 adaptive systems for signal processing, communications, and control symposium (Cat. No.00EX373), pp 153–158 (2002) Wan EA, Van Der Merwe R (2002) The unscented Kalman filter for nonlinear estimation. In: Proceedings of the IEEE 2000 adaptive systems for signal processing, communications, and control symposium (Cat. No.00EX373), pp 153–158 (2002)
6.
go back to reference Simon D (2006) Optimal state estimation: Kalman, H∞, and nonlinear approaches. Wiley, New JerseyCrossRef Simon D (2006) Optimal state estimation: Kalman, H∞, and nonlinear approaches. Wiley, New JerseyCrossRef
7.
go back to reference Yu S, Emami K, Fernando T, Iu HHC, Wong KP (2016) State estimation of doubly fed induction generator wind turbine in complex power systems. IEEE Trans Power Syst 31(6):4935–4944CrossRef Yu S, Emami K, Fernando T, Iu HHC, Wong KP (2016) State estimation of doubly fed induction generator wind turbine in complex power systems. IEEE Trans Power Syst 31(6):4935–4944CrossRef
8.
go back to reference Lalami A, Wamkeue R, Kamwa I, Saad M, Beaudoin JJ (2012) Unscented Kalman filter for non-linear estimation of induction machine parameters. IET Electr Power Appl 6(9):611–620CrossRef Lalami A, Wamkeue R, Kamwa I, Saad M, Beaudoin JJ (2012) Unscented Kalman filter for non-linear estimation of induction machine parameters. IET Electr Power Appl 6(9):611–620CrossRef
9.
go back to reference Kanamaru T (2007) Van der Pol oscillator. Scholarpedia Kanamaru T (2007) Van der Pol oscillator. Scholarpedia
10.
go back to reference Tsatsos M (2008) The Van der Pol Equation. arXiv0803.1658: ArXiv Prepr arXiv0803.1658 Tsatsos M (2008) The Van der Pol Equation. arXiv0803.1658: ArXiv Prepr arXiv0803.1658
11.
go back to reference Ginoux JM, Letellier C (2012) Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept. Chaos Ginoux JM, Letellier C (2012) Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept. Chaos
Metadata
Title
Application of Unscented Kalman Filter for Parameter Estimation of Nonlinear Systems
Authors
Urmila Solanki
Ganesh P. Prajapat
Manoj Chhimpa
Copyright Year
2021
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-5421-6_27