DOI QR코드

DOI QR Code

Parameter Estimation of 2-DOF System Based on Unscented Kalman Filter

UKF 기반 2-자유도 진자 시스템의 파라미터 추정

  • Seung, Ji-Hoon (School of Electronic Engineering, Chonbuk National Univ.) ;
  • Kim, Tae-Yeong (School of Electronic Engineering, Chonbuk National Univ.) ;
  • Atiya, Amir (Department of Electronics Engineering, Cairo University) ;
  • Parlos, Alexander (Department of Mechanical Engineering, Texas A&M University) ;
  • Chong, Kil-To (School of Electronic Engineering, Chonbuk National Univ.)
  • Received : 2011.12.29
  • Accepted : 2012.06.28
  • Published : 2012.10.01

Abstract

In this paper, the states and parameters in a dynamic system are estimated by applying an Unscented Kalman Filter (UKF). The UKF is widely used in various fields such as sensor fusion, trajectory estimation, and learning of Neural Network weights. These estimations are necessary and important in determining the stability of a mobile system, monitoring, and predictions. However, conventional approaches are difficult to estimate based on the experimental data, due to properties of non-linearity and measurement noises. Therefore, in this paper, UKF is applied in estimating the states and parameters needed. An experimental dynamic system has been set up for obtaining data and the experimental data is collected for parameter estimation. The measurement noises are primarily reduced by applying the Low Pass Filter (LPF). Given the simulation results, the estimated error rate is 39 percent more efficient than the results obtained using the Least Square Method (LSM). Secondly, the estimated parameters have an average convergence period of four seconds.

Keywords

References

  1. Lee, J., Kim, P., Seok, J., and Oh, B.-J., "Dynamic Parameters Identification of an Air Spring for Vibration Isolation of a Complex Testing System of COG Bonding Process," J. of the KSPE, Vol. 27, No. 7, pp. 13-20, 2010.
  2. David, B. and Bastin, G., "A Maximum Likelihood Method for Nonlinear Parameter Estimation Dynamical Systems," Decision and Control, Vol. 1, pp. 612-617, 1999.
  3. Fan, D. and Centeno, V., "Least-Squares Estimation in Phasor-Based Synchronized Frequency Measurements," IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century, pp. 1-6, 2008.
  4. Zhang, X., Zhu, Y., Yan, W., and Shao, H., "Nonlinear Parameter Prediction and Estimation of Fossil Power Plant Based on Kernel Partial Least Squares," Information and Automation (ICIA), pp. 1964-1967, 2010.
  5. Blanchard, E., Sandu, A., and Sandu, C., "Parameter Estimation Method using an Extended Kalman Filter," Proc. of the Joint North America, Asia-Pacific ISTVS Conference and Annual Meeting of Japanese Society for Terramechanics, 2007.
  6. Azad, S. P. and Tate, J. E., "Parameter Estimation of Doubly Fed Induction Generator Driven by Wind Turbine," IEEE/PES Power Systems Conference and Exposition (PSCE), pp. 1-8, 2011.
  7. Tang, X., Zhao, X., and Zhang, X., "The Square-Root Spherical Simplex Unscented Kalman Filter for State and Parameter Estimation," Signal Processing (ICSP), pp. 260-263, 2008.
  8. Kano, J., Tonomura, O., Kano, M., and Hasebe, S., "State and Parameter Estimation for Tubular Microreactors Using Particle Filter," ICCAS-SICE, pp. 3278-3282, 2009.
  9. Chong, K. T., Park, J. H., and Parlos, A. G., "Control- Relevant Discretization of Nonlinear Systems With Time-Delay Using Taylor-Lie Series," Journal of Dynamic Systems, Measurement, and Control, Vol. 127, pp. 153-159, 2005. https://doi.org/10.1115/1.1870046
  10. Stimac, A. K., "Standup and Stabilization of the Inverted Pendulum," M.Sc. Thesis, Department of Mechanical Engineering, MIT, 1999.
  11. Hwang, J. M., Pyo, B. S., and Kim, J. H., "Control of Inverted Pendulum using Twisted Gyro Wheel," J. of the KSPE, Vol. 28, No. 10, pp. 1181-1188, 2011.
  12. Julier, S. J. and Uhlmann, J., "A new extension of the Kalman filter to nonlinear systems," Proc. SPIE, Vol. 3068, pp. 182-193, 1997.
  13. Julier, S. J., "The Scaled Unscented Transformation," Proc. of the American Control Conference, Vol. 6, pp. 4555-4559, 2002.