Research Article

A study on non-linear discrete-time state-space models and adaptive extended Kalman filter application on oscillatıon of an object tied to the end of spring

Volume: 63 Number: 1 June 30, 2021
EN

A study on non-linear discrete-time state-space models and adaptive extended Kalman filter application on oscillatıon of an object tied to the end of spring

Abstract

In this work, Adaptive Extended Kalman Filter (AEKF) is introduced and its use for oscillation of an object connected to the end of a spring is shown. As a new approach, an AEKF is used as a nonlinear estimation tool for online estimation of the states and parameters of an oscillating object attached to the end of a spring model. Parameter states that do not change with time were examined. The simulation results revealed that with proper selection of initial values of AEKF, AEKF is a very useful tool for this particular application.

Keywords

References

  1. Kalman, R.E., A new Approach to linear filtering and prediction problems, J. Basic Eng., 82 (1960), 35-45. https://doi.org/10.1115/1.3662552
  2. Bryson, A.E., Ho, Y.C., Optimization, Estimation and Control, Ginn and Company, Waltham, 1969.
  3. Jazwinski, A.H., Stochastic Processes and Filtering Theory, Academic Press, New York, 1970.
  4. Anderson, B.D.O., Moore,J.B., Optimal Filtering, Prentice Hall, Englewood Cliffs, 1979.
  5. Chui, C.K., Chen, G., Kalman Filtering with Real-time Applications, Springer-Verlag, Berlin Heidelberg, 1991.
  6. Ljung, L., Söderström, T., Theory and Practice of Recursive Identification, The MIT Press, Cambridge, 1983.
  7. Goodwin, G.C., Sin, K.S.A., Adaptive Filtering Estimation and Control, Prentice Hall, Englewood Cliffs, 1985.
  8. Kumar, P.R., Varaiya, P., Stochastic Systems: Estimation, and Adaptive Control, Prentice Hall Inc., Englewood Cliffs, 1986.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

October 12, 2020

Acceptance Date

May 2, 2021

Published in Issue

Year 2021 Volume: 63 Number: 1

APA
Öztürk, F., & Özbek, L. (2021). A study on non-linear discrete-time state-space models and adaptive extended Kalman filter application on oscillatıon of an object tied to the end of spring. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, 63(1), 80-92. https://doi.org/10.33769/aupse.809161
AMA
1.Öztürk F, Özbek L. A study on non-linear discrete-time state-space models and adaptive extended Kalman filter application on oscillatıon of an object tied to the end of spring. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 2021;63(1):80-92. doi:10.33769/aupse.809161
Chicago
Öztürk, Fikri, and Levent Özbek. 2021. “A Study on Non-Linear Discrete-Time State-Space Models and Adaptive Extended Kalman Filter Application on Oscillatıon of an Object Tied to the End of Spring”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 63 (1): 80-92. https://doi.org/10.33769/aupse.809161.
EndNote
Öztürk F, Özbek L (June 1, 2021) A study on non-linear discrete-time state-space models and adaptive extended Kalman filter application on oscillatıon of an object tied to the end of spring. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 63 1 80–92.
IEEE
[1]F. Öztürk and L. Özbek, “A study on non-linear discrete-time state-space models and adaptive extended Kalman filter application on oscillatıon of an object tied to the end of spring”, Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng., vol. 63, no. 1, pp. 80–92, June 2021, doi: 10.33769/aupse.809161.
ISNAD
Öztürk, Fikri - Özbek, Levent. “A Study on Non-Linear Discrete-Time State-Space Models and Adaptive Extended Kalman Filter Application on Oscillatıon of an Object Tied to the End of Spring”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 63/1 (June 1, 2021): 80-92. https://doi.org/10.33769/aupse.809161.
JAMA
1.Öztürk F, Özbek L. A study on non-linear discrete-time state-space models and adaptive extended Kalman filter application on oscillatıon of an object tied to the end of spring. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 2021;63:80–92.
MLA
Öztürk, Fikri, and Levent Özbek. “A Study on Non-Linear Discrete-Time State-Space Models and Adaptive Extended Kalman Filter Application on Oscillatıon of an Object Tied to the End of Spring”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, vol. 63, no. 1, June 2021, pp. 80-92, doi:10.33769/aupse.809161.
Vancouver
1.Fikri Öztürk, Levent Özbek. A study on non-linear discrete-time state-space models and adaptive extended Kalman filter application on oscillatıon of an object tied to the end of spring. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 2021 Jun. 1;63(1):80-92. doi:10.33769/aupse.809161

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