American Journal of Applied Mathematics

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Parameter Estimation of a DC Motor-Gear-Alternator (MGA) System via Step Response Methodology

Received: 16 September 2016    Accepted: 02 October 2016    Published: 27 October 2016
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Abstract

Mathematical models and their parameters are essential when designing controllers because they allow the designer to predict the closed loop behavior of the system. An accurate method for estimating the DC Motor-Gear-Alternator (MGA) system parameters is needed before constructing the reliable model. This paper proposed a new method of parameter estimation using Matlab/Simulink parameter estimation tool via Step Response Methodology. Optimization algorithms including the nonlinear least square, Gradient Descent, Simplex Search and Pattern Search are discussed. Simulink Design Optimization automatically estimated parameters of the MGA model from measured input-output data.

DOI 10.11648/j.ajam.20160405.17
Published in American Journal of Applied Mathematics (Volume 4, Issue 5, October 2016)
Page(s) 252-257
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Estimation, Step Response, DC Motor, Alternator, Simulink, Optimization

References
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[4] Ahmed, S., B. Huang, and S. L. Shah, Novel identification method from step response. Control Engineering Practice, 2007. 15 (5): p. 545-556.
[5] Fliess, M. and H. Sira-Ramirez, Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques, in Identification of Continuous-time Models from sampled Data. 2008, Springer. p. 363-391.
[6] Liu, Y., L. Xie, and F. Ding, An auxiliary model based on a recursive least-squares parameter estimation algorithm for non-uniformly sampled multirate systems. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 2009. 223 (4): p. 445-454.
[7] Mamani, G., et al. Open-loop algebraic identification method for a DC motor. in Control Conference (ECC), 2007 European. 2007. IEEE.
[8] Mamani, G., J. Becedas, and V. Feliu-Batlle. On-Line Fast Algebraic Parameter and State Estimation for a DC Motor Applied to Adaptive Control. in Proceedings of the World Congress on Engineering. 2008.
[9] Plett, G. L., Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 3. State and parameter estimation. Journal of Power sources, 2004. 134 (2): p. 277-292.
[10] Tarantola, A., Inverse problem theory and methods for model parameter estimation. 2005: siam.
[11] Kumar, P. R. and P. Varaiya, Stochastic systems: Estimation, identification, and adaptive control. Vol. 75. 2015: SIAM.
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[13] Koech, W., et al., Dynamic Model of a DC Motor-gear-alternator (MGA) System. Asian Research Journal of Mathematics, 2016. 1 (4): p. 16.
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[16] Rey, G., et al., Performance analysis, model development and validation with experimental data of an ICE-based micro-CCHP system. Applied Thermal Engineering, 2015. 76: p. 233-244.
Author Information
  • Department of Mathematics and Physics, School of Biological and Physical Sciences, Moi University, Eldoret, Kenya

  • Department of Centre for Teacher Education, School of Education, Moi University, Eldoret, Kenya

  • Department of Mathematics and Physics, School of Biological and Physical Sciences, Moi University, Eldoret, Kenya

  • Department of Mathematics and Physics, School of Biological and Physical Sciences, Moi University, Eldoret, Kenya

Cite This Article
  • APA Style

    Wesley Koech, Titus Rotich, Fredrick Nyamwala, Samwel Rotich. (2016). Parameter Estimation of a DC Motor-Gear-Alternator (MGA) System via Step Response Methodology. American Journal of Applied Mathematics, 4(5), 252-257. https://doi.org/10.11648/j.ajam.20160405.17

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    ACS Style

    Wesley Koech; Titus Rotich; Fredrick Nyamwala; Samwel Rotich. Parameter Estimation of a DC Motor-Gear-Alternator (MGA) System via Step Response Methodology. Am. J. Appl. Math. 2016, 4(5), 252-257. doi: 10.11648/j.ajam.20160405.17

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    AMA Style

    Wesley Koech, Titus Rotich, Fredrick Nyamwala, Samwel Rotich. Parameter Estimation of a DC Motor-Gear-Alternator (MGA) System via Step Response Methodology. Am J Appl Math. 2016;4(5):252-257. doi: 10.11648/j.ajam.20160405.17

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  • @article{10.11648/j.ajam.20160405.17,
      author = {Wesley Koech and Titus Rotich and Fredrick Nyamwala and Samwel Rotich},
      title = {Parameter Estimation of a DC Motor-Gear-Alternator (MGA) System via Step Response Methodology},
      journal = {American Journal of Applied Mathematics},
      volume = {4},
      number = {5},
      pages = {252-257},
      doi = {10.11648/j.ajam.20160405.17},
      url = {https://doi.org/10.11648/j.ajam.20160405.17},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajam.20160405.17},
      abstract = {Mathematical models and their parameters are essential when designing controllers because they allow the designer to predict the closed loop behavior of the system. An accurate method for estimating the DC Motor-Gear-Alternator (MGA) system parameters is needed before constructing the reliable model. This paper proposed a new method of parameter estimation using Matlab/Simulink parameter estimation tool via Step Response Methodology. Optimization algorithms including the nonlinear least square, Gradient Descent, Simplex Search and Pattern Search are discussed. Simulink Design Optimization automatically estimated parameters of the MGA model from measured input-output data.},
     year = {2016}
    }
    

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    AU  - Wesley Koech
    AU  - Titus Rotich
    AU  - Fredrick Nyamwala
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    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
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    AB  - Mathematical models and their parameters are essential when designing controllers because they allow the designer to predict the closed loop behavior of the system. An accurate method for estimating the DC Motor-Gear-Alternator (MGA) system parameters is needed before constructing the reliable model. This paper proposed a new method of parameter estimation using Matlab/Simulink parameter estimation tool via Step Response Methodology. Optimization algorithms including the nonlinear least square, Gradient Descent, Simplex Search and Pattern Search are discussed. Simulink Design Optimization automatically estimated parameters of the MGA model from measured input-output data.
    VL  - 4
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    ER  - 

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