IDENTIFICATION OF SLOWLY TIME-VARYING SYSTEMS BASED ON THE QUALITATIVE FEATURES OF TRANSIENT RESPONSE A FROZEN-TIME APPROACH

Nelio Pastor, Juan J. Flores, Claudio R. Fuerte, Felix Calderón

2006

Abstract

A method for structural and parameter identification of a slowly time-varying systems is proposed. The frozen-time method is used in this analysis. By means of this method we obtain consecutive LTI models, which are identified in consecutive discrete instants using the Qualitative System Identification (QSI) Algorithm. The proposed algorithm models the behavior of the ODE’s coefficients means of polynomial functions. The algorithm models the variations of those coefficients though polynomials. An optimal model is obtained using Genetic Algorithms. The algorithm starts with a polynomial of second degree and tries to fit these polynomials, to the variations of the coefficients. If the degree of the polynomials is not enough it increases and repeats the process until achieving a good fit. The system was tested with the identification of a controlled experiment in a power systems laboratory.

References

  1. C. A. Desoer. ”Slowly varying discrete systems xi+1 = Aixi,” Electronics Letters 6, pp. 339-340, 1970.
  2. J.E. Dennis Jr. and Schnabel Robert B. ”Numerical Methods for Uncostrained Optimization and Nonlinear Equations”. Classics in Applied Mathematics. SIAM. 2000.
  3. Flores Juan and Pastor Nelio. ”Qualitative and Quantitative Systems Identification for Linear Time Invariant Dynamic Systems”, Workshop on Qualitative Reasoning 2002 Sitges Barcelona Espan˜a. Junio 2002.
  4. Pohlheim Hartmut. “”Evolutionary Algorithms: Principles, Methods and Algorithms”” , document part of the Genetic and Evolutionary Algorithm Toolbox for use with MatLab. http://www.geatbx.com. November 2001.
  5. Le Yi Wang. ”Identification and Control of Slowly Varying Systems: Recent Advances”; Proceedings of the 34th Conferece on decision & control, New Orleans, LA December 1995.
  6. Lenart Ljung. ”System Identification: Theory for the user”, 2nd Edition Upper Saddle River, NJ: Prentice Hall 1999.
  7. M. Freedman and G. Zames. ”Logarithmic variation criteria for stability of systems with time-varying gains”, SIAM J. Control vol. 6,N? 3. pp. 487- 507. 1968.
  8. Mahmood Samavat and Ali Jabar Rashidie. ”A new Algorithm for Analisys and Identification of Time Varying Systems”, Proceedings of the American Control Conference, Seattle Washington, June 1995 M ühlenbein H. Schlierkamp-Voosen D., ”Predictive Models for the Breeder Genetic Algorithm: I. Continuos Parameter Optimization”, Evolutionary Computation 1(1):25-49, 1993.
  9. Pastor G. Nelio. ”Identificaci ón de Sistemas Usando Algoritmos Genéticos”, Masters Thesis. Facultad de Ingeniería Eléctrica, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, México. 2000.
  10. Pastor G. Nelio. ”Identificaci ón de Sistemas Dinámicos Variantes e Invariantes en el Tiempo Basada en las Características Cualitativas de la Respuesta Transitoria”, Doctoral Thesis. Facultad de Ingeniería Eléctrica, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, México. 2005.
  11. Flores R. Juan and Pastor G. Nelio. ”Time-Invariant Dynamic Systems Identification Based on the Qualitative Features of the Response”. Engineering Applications of Artificial Intelligence Volume 18, Issue 6, Pages 719-729. doi:10.1016/j.engappai.2005.01.003 September 2005.
  12. Smith Steven W. ”The Scientist and Engineer's Guide to Digital Signal Processing”, Second Edition, California Technical Publishing, San Diego California 1999.
Download


Paper Citation


in Harvard Style

Pastor N., J. Flores J., R. Fuerte C. and Calderón F. (2006). IDENTIFICATION OF SLOWLY TIME-VARYING SYSTEMS BASED ON THE QUALITATIVE FEATURES OF TRANSIENT RESPONSE A FROZEN-TIME APPROACH . In Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-972-8865-61-0, pages 55-60. DOI: 10.5220/0001218700550060


in Bibtex Style

@conference{icinco06,
author={Nelio Pastor and Juan J. Flores and Claudio R. Fuerte and Felix Calderón},
title={IDENTIFICATION OF SLOWLY TIME-VARYING SYSTEMS BASED ON THE QUALITATIVE FEATURES OF TRANSIENT RESPONSE A FROZEN-TIME APPROACH},
booktitle={Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2006},
pages={55-60},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001218700550060},
isbn={978-972-8865-61-0},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - IDENTIFICATION OF SLOWLY TIME-VARYING SYSTEMS BASED ON THE QUALITATIVE FEATURES OF TRANSIENT RESPONSE A FROZEN-TIME APPROACH
SN - 978-972-8865-61-0
AU - Pastor N.
AU - J. Flores J.
AU - R. Fuerte C.
AU - Calderón F.
PY - 2006
SP - 55
EP - 60
DO - 10.5220/0001218700550060