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Proceedings of the Second International Afro-European Conference for Industrial Advancement AECIA 2015 pp 315–325Cite as

Algebraic Identification Approach of Multiple Unknown Time-Delays of Continuous-Time Linear Systems

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 427))

Abstract

In this paper, a fast online identification algorithm is proposed for linear time invariant multiple time-delays systems (LTI-MTDS) in presence of both unknown initial conditions and static disturbance. It is based on an algebraic, non-asymptotic estimation technique initiated in the framework of systems without delay by Fliess and Sira-Ramirez in [5]. Such technique, developed here in the distributional framework, leads to simple realization schemes involving integrators, multipliers by exponential time functions. We consider the identification problem of multiple-input single-output (MISO) system with two unknown time-delays. Only estimating multiple time-delays from structured input signals will be performed. Simulation studies with noisy data show the performance of the proposed approach.

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References

  1. Balestrino, A., Landi, A., Sani, L.: Parameter identification of continuous systems with multiple-input time delays via modulating functions. In: Control Theory and Applications, IEE Proceedings (2000)

    Google Scholar 

  2. Belkoura, L.: Identifiability and algebric identification of time delay systems, vol. 423, pp. 103–117. Springer, Berlin (2012)

    Google Scholar 

  3. Belkoura, L., Fliess, M., Richard, J.P.: Parameters estimation of systems with delayed and structured entries. Automatica 45, 1117–1125 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  4. Belkoura, L., Richard, J.P., Fliess, M.: A convolution approach for delay systems identification. In: 17th IFAC World Congress (2008)

    Google Scholar 

  5. Fliess, M., Sira-Ramirez, H.: An algebraic framework for linear identification. ESAIM Control Optim. 9, 151–168 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Gomez, O., Orlov, Y., Kolmanovsky, I.: On-line identification of siso linear time-delay systems from output measurements. Automatica 43, 2060–2069 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  7. Iemura, H., Yang, Z., Kanae, S., Wada, K.: Identification of continuous-time systems with multiple unknown time delays by global nonlinear least-squares method. In: IFAC Workshop on Adaptation and Learning in Control and Signal Processing, and IFAC Workshop on Periodic Control Systems. Yokohama, Japan, 30 Aug, 1 Sept 2004

    Google Scholar 

  8. Kaur, D., Dewan, L.: Identification of delayed system using instrumental variable method. J. Control Theory Appl. 10, 380–384 (2012)

    Article  MathSciNet  Google Scholar 

  9. Naa, J., Ren, X., Xia, Y.: Adaptive parameter identification of linear siso systems with unknown time-delay. Syst. Control Lett. 66, 43–50 (2014)

    Article  Google Scholar 

  10. Orlov, Y., Kolmanovsky, I., Gomez, O.: On-line identification of siso linear time-delay systems from output measurements: theory and applications to engine transient fuel identification. In: American Control Conference. IEEE, Minneapolis, Minnesota, USA, June 2006

    Google Scholar 

  11. Ren, X., Rad, A., Chan, P., Lo, W.: Online identification of continuous-time systems with unknown time delay 50, 1418–1422 (2005)

    Google Scholar 

  12. Schwartz, L.: Théorie des Distributions, 2nd edn. Hermann, Paris (1966)

    MATH  Google Scholar 

  13. Sira-Ramirez, H.: Some applications of differential algebra in systems identification. In: 3rd IFAC Symposium on Power System, Structure and Control. Mabu Thermas Convention Center, Brazil (2007)

    Google Scholar 

  14. Sira-Ramirez, H., Rodriguez, C.G., Romero, J.C., Juarez, A.L.: Algebraic Identification and Estimation Methods in Feedback Control Systems. Wiley, United Kingdom (2014)

    Book  MATH  Google Scholar 

  15. Smith, C., Corripio, A.: Principles and Practice of Automatic Process Control, 2nd edn. Wiley (1997)

    Google Scholar 

  16. Taarit, K.I.: Contribution l’identification des systèmes à retards et d’une classe de systèmes hybrides. Thèse de doctorat (2010)

    Google Scholar 

  17. Taarit, K.I., Belkoura, L., Ksouri, M.: Estimation en ligne par approche algébrique : application au cas des frottements secs. In: 6ème Conférence Internationale Francophone d’Automatique, CIFA 2010. Nancy, France, June 2010

    Google Scholar 

  18. Taarit, K.I., Belkoura, L., Ksouri, M., Richard, J.P.: A fast identification algorithm for systems with delayed inputs. Int. J. Syst. Sci. 42(3), 449–456 (2011)

    Article  MATH  Google Scholar 

  19. Yang, Z.: Iterative Methods for Identification of Multiple-input Continuous-time Systems with Unknown Time Delays, pp. 339–362. Springer, London (2008)

    Google Scholar 

  20. Yang, Z., Iemura, H., Kanae, S., Wada, K.: A global nonlinear instrumental variable method for identification of continuous-time systems with unknown time delays. In: 16th IFAC World Congress. Prague, Czech Republic, July 2005

    Google Scholar 

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Author information

Authors and Affiliations

  1. National Engineering School of Tunis, Analysis, Conception and Control of Systems Laboratory, University of Tunis El Manar, BP 37, Le Belvédère, 1002, Tunis, Tunisia

    Asma Karoui, Kaouther Ibn Taarit & Moufida Ksouri

Authors
  1. Asma Karoui
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  2. Kaouther Ibn Taarit
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  3. Moufida Ksouri
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Corresponding author

Correspondence to Asma Karoui .

Editor information

Editors and Affiliations

  1. Sci. Network for Innovation & Rec. Exell, Machine Intelligence Research Labs (MIR, Auburn, Washington, USA

    Ajith Abraham

  2. Membre du Groupe Efrei, ESIGETEL, Villejuif, France

    Katarzyna Wegrzyn-Wolska

  3. Faculty of Computers & Information, Cairo University, Giza, Egypt

    Aboul Ella Hassanien

  4. VSB-Technical University of Ostrava, Ostrava, Czech Republic

    Vaclav Snasel

  5. ENIS, University of Sfax, Sfax, Tunisia

    Adel M. Alimi

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© 2016 Springer International Publishing Switzerland

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Karoui, A., Taarit, K.I., Ksouri, M. (2016). Algebraic Identification Approach of Multiple Unknown Time-Delays of Continuous-Time Linear Systems. In: Abraham, A., Wegrzyn-Wolska, K., Hassanien, A., Snasel, V., Alimi, A. (eds) Proceedings of the Second International Afro-European Conference for Industrial Advancement AECIA 2015. Advances in Intelligent Systems and Computing, vol 427. Springer, Cham. https://doi.org/10.1007/978-3-319-29504-6_31

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  • DOI: https://doi.org/10.1007/978-3-319-29504-6_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29503-9

  • Online ISBN: 978-3-319-29504-6

  • eBook Packages: EngineeringEngineering (R0)

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