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

Wesley Koech; Titus Rotich; Fredrick Nyamwala; Samwel Rotich

doi:doi:10.11648/j.ajam.20160405.17

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

Wesley Koech, Titus Rotich, Fredrick Nyamwala, Samwel Rotich

Published in American Journal of Applied Mathematics (Volume 4, Issue 5)

Received: 16 September 2016 Accepted: 2 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.

Published in	American Journal of Applied Mathematics (Volume 4, Issue 5)
DOI	10.11648/j.ajam.20160405.17
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), 2016. Published by Science Publishing Group

Keywords

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

References

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[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.
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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.

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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://article.sciencepublishinggroup.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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TY  - JOUR
T1  - Parameter Estimation of a DC Motor-Gear-Alternator (MGA) System via Step Response Methodology
AU  - Wesley Koech
AU  - Titus Rotich
AU  - Fredrick Nyamwala
AU  - Samwel Rotich
Y1  - 2016/10/27
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160405.17
DO  - 10.11648/j.ajam.20160405.17
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 252
EP  - 257
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160405.17
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
IS  - 5
ER  -

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Author Information

Wesley Koech

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

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

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

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

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Plain Text BibTeX RIS

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - Parameter Estimation of a DC Motor-Gear-Alternator (MGA) System via Step Response Methodology
AU  - Wesley Koech
AU  - Titus Rotich
AU  - Fredrick Nyamwala
AU  - Samwel Rotich
Y1  - 2016/10/27
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160405.17
DO  - 10.11648/j.ajam.20160405.17
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 252
EP  - 257
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160405.17
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
IS  - 5
ER  -

Copy | Download