THE USE OF MODULATING FUNCTIONS FOR IDENTIFICATION OF CONTINUOUS SYSTEMS WITH TIME-VARYING PARAMETERS

Witold Byrski, Jedrzej Byrski

Abstract

In the paper the use of modulating functions for the optimal identification of the structure and parameters of continuous linear systems is presented. The modulating functions with compact support [0, h] are used in convolution filter for transformation of input/output signal derivatives. Based on pre-filtered functions continuous moving window [t-T, t] is used for on-line identification of piecewise constant parameters Θ changes of linear system. Optimal quadratic method for identification is presented – with the use of quadratic constraints on parameters Θ. The numerical results of some examples are shown.

References

  1. D'Angelo H., 1970. Linear Time-Varying Systems, Allyn&Bacon,Boston, USA.
  2. Byrski W., S.Fuksa, 1995. Optimal identification of continuous systems in L2 space by the use of compact support filter. In International Journal of Modelling & Simulation. IASTED. vol.15 .No.4 .1995. 125-131
  3. Byrski W., S.Fuksa, 1996. Linear adaptive controller for continuous system with convolution filter. In IFAC, 13th Triennial World Congress, San Francisco USA.
  4. Byrski W., S.Fuksa, 1999. Time variable Gram matrix eigenproblem and its application to optimal identification of continuous systems. In Conference ECC'99, Karlsruhe, Germany.
  5. Byrski W., S.Fuksa, 2000. Optimal identification of continuous systems and a new fast algorithm for on-line mode In Proc. of IFAC SYSID2000, Santa Barbara, USA.
  6. Kleiman E.G., 2000, Identification of Time-varying Systems-Survey, Proc. of IFAC SYSID2000, Santa Barbara, USA.
  7. Loeb J, G.Cahen, 1965. More about process identification, In IEEE Trans.Automat.Control, AC-10.
  8. Maletinsky V.,1979. Identification of continuous dynamical systems with spline-type modulating functions method. In Proc. of V IFAC Symp. on Identification and SPE, Darmstadt, Vol.1.,
  9. Niedzwiecki M., 2000. Identification of Time-varying Processes, John Wiley, NY.
  10. Preisig H.,A., D.W.T.Rippin, 1993. Theory and application of the modulating function method. Review and theory of the method and theory of spline type modulating functions. In Computers Chem.. Eng., Vol.17, No 1,1-40, Pergamon Press.
  11. Shinbrot M., 1957. On the analysis of linear and Nonlinear Systems. In ASME Trans.. 547-552.
Download


Paper Citation


in Harvard Style

Byrski W. and Byrski J. (2006). THE USE OF MODULATING FUNCTIONS FOR IDENTIFICATION OF CONTINUOUS SYSTEMS WITH TIME-VARYING PARAMETERS . In Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-972-8865-61-0, pages 201-204. DOI: 10.5220/0001217802010204


in Bibtex Style

@conference{icinco06,
author={Witold Byrski and Jedrzej Byrski},
title={THE USE OF MODULATING FUNCTIONS FOR IDENTIFICATION OF CONTINUOUS SYSTEMS WITH TIME-VARYING PARAMETERS},
booktitle={Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2006},
pages={201-204},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001217802010204},
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 - THE USE OF MODULATING FUNCTIONS FOR IDENTIFICATION OF CONTINUOUS SYSTEMS WITH TIME-VARYING PARAMETERS
SN - 978-972-8865-61-0
AU - Byrski W.
AU - Byrski J.
PY - 2006
SP - 201
EP - 204
DO - 10.5220/0001217802010204