A COMPUTER ORIENTED ALGORITHM FOR ANALYZING LIMIT CYCLES IN DISCRETE CONTROL SYSTEMS

M. Utrilla-Manso, R. Jiménez-Martínez, R. Mallol-Poyato, J. Sánchez-Golmayo, F. López-Ferreras

Abstract

In this paper a new and fast algorithm for characterizing the behaviour of zero-input limit cycles that can appear in digital control systems when finite precision computer is used. This proposed algorithm suggests a practical approach to determine the impact of these parasitic oscillations against difficult theoretical solutions limited to simple systems and very conservatives in some cases. This algorithm is applicable to any kind of discrete system described by its difference equations and quantized by any quantization scheme and supply practical results in considerable less time that other exhaustive formulations. Some tables show the feasibility of the algorithm compared with exhaustive searches and theoretical calculations to characterize the limit cycles and its applicability for any kind of discrete system as different digital filters and digital control systems where different controllers are applied.

References

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Paper Citation


in Harvard Style

Utrilla-Manso M., Jiménez-Martínez R., Mallol-Poyato R., Sánchez-Golmayo J. and López-Ferreras F. (2005). A COMPUTER ORIENTED ALGORITHM FOR ANALYZING LIMIT CYCLES IN DISCRETE CONTROL SYSTEMS . In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 972-8865-31-7, pages 155-160. DOI: 10.5220/0001182401550160


in Bibtex Style

@conference{icinco05,
author={M. Utrilla-Manso and R. Jiménez-Martínez and R. Mallol-Poyato and J. Sánchez-Golmayo and F. López-Ferreras},
title={A COMPUTER ORIENTED ALGORITHM FOR ANALYZING LIMIT CYCLES IN DISCRETE CONTROL SYSTEMS},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2005},
pages={155-160},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001182401550160},
isbn={972-8865-31-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - A COMPUTER ORIENTED ALGORITHM FOR ANALYZING LIMIT CYCLES IN DISCRETE CONTROL SYSTEMS
SN - 972-8865-31-7
AU - Utrilla-Manso M.
AU - Jiménez-Martínez R.
AU - Mallol-Poyato R.
AU - Sánchez-Golmayo J.
AU - López-Ferreras F.
PY - 2005
SP - 155
EP - 160
DO - 10.5220/0001182401550160