SIMULATION OF SYSTEMS WITH VARIOUS TIME DELAYS USING PADE'S APPROXIMATION
Mujo Hebibovic, Bakir Lacevic, Jasmin Velagic
2004
Abstract
In this paper, Pade's rational functions have been simulated for approximating several characteristic values of time delay regarding the plant time constant. Several representative plants were tested in order to show in which cases Pade’s function approximates time-delay block well. Only if the ratio of time delay versus time constant of the plant is rather great, or the plant contains emphasized numerator dynamics; approximation capabilities get poorer. The convergence rate of n-order Pade’s function has been also analyzed by using Taylor series and phase-frequency characteristics.
References
- Chen, J., Gu, K., Kharitonov, V. 2003. Stability of Timedelay Systems, Birkhauser Verlag.
- Doganovskij, S.A., Ivanov V.A. 1966. Ustrojstva zapazdivanija i ih primjenjenie v avtomaticeskih sistemah, Izdateljstvo Masinostojenie, Moskva.
- Dugard, L., Verriest, E.I. 1998. Stability and Control of Time-delay Systems, Springer-Verlag, Berlin.
- Hebibovic, M., 1998. Identification of the block of transport delay by using Pade's approximation (Doctoral dissertation), University of Sarajevo, Faculty of Electrical Engineering, Sarajevo.
- Hebibovic, M., 1991. Fast algorithm for calculating the coefficients of Pade's approximation of time delay block random order, Bilten No 25, Center of RV I PVO, Rajlovac-Sarajevo.
- Hebibovic, M., Lacevic, B., Alagic, S., Kulenovic, I. 2003. Control of Blood Sugar Components and Their Computer Aided Modelling, 7th World Multiconference on Systemics, Cybernetics and Informatics (SCI 2003), Orlando, USA, July 27-30, pp. 12-16.
- Titov, N.I., Uspenskij V.K. 1969. Modelirovanije sistem s zapazdivanijem, Energija, Leningrad.
- Vajta, M. 2000. Some Remarks on Padé-Approximations, 3rd TEMPUS-INTCOM Symposium, September 9-14, Veszprém, pp. 251-256.
- Van Beek, D.A., Rooda, J.E., Trienekens, B.J. 1999. Hybrid Modelling and Simulation of Time-delay Elements, In. Proc. of 11th European Simulation Symposium, Erlangen, pp. 88-92.
Paper Citation
in Harvard Style
Hebibovic M., Lacevic B. and Velagic J. (2004). SIMULATION OF SYSTEMS WITH VARIOUS TIME DELAYS USING PADE'S APPROXIMATION . In Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 972-8865-12-0, pages 291-295. DOI: 10.5220/0001127402910295
in Bibtex Style
@conference{icinco04,
author={Mujo Hebibovic and Bakir Lacevic and Jasmin Velagic},
title={SIMULATION OF SYSTEMS WITH VARIOUS TIME DELAYS USING PADE'S APPROXIMATION},
booktitle={Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2004},
pages={291-295},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001127402910295},
isbn={972-8865-12-0},
}
in EndNote Style
TY - CONF
JO - Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - SIMULATION OF SYSTEMS WITH VARIOUS TIME DELAYS USING PADE'S APPROXIMATION
SN - 972-8865-12-0
AU - Hebibovic M.
AU - Lacevic B.
AU - Velagic J.
PY - 2004
SP - 291
EP - 295
DO - 10.5220/0001127402910295