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Authors: M. Utrilla-Manso ; R. Jiménez-Martínez ; R. Mallol-Poyato ; J. Sánchez-Golmayo and F. López-Ferreras

Affiliation: Universidad de Alcalá, Spain

Keyword(s): Limit cycles, quantization, discrete control system.

Related Ontology Subjects/Areas/Topics: Computer and Microprocessor-Based Control ; Informatics in Control, Automation and Robotics ; Nonlinear Signals and Systems ; Signal Processing, Sensors, Systems Modeling and Control

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.

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Paper citation in several formats:
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 1: ICINCO; ISBN 972-8865-31-7; ISSN 2184-2809, SciTePress, pages 155-160. DOI: 10.5220/0001182401550160

@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 1: ICINCO},
year={2005},
pages={155-160},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001182401550160},
isbn={972-8865-31-7},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - A COMPUTER ORIENTED ALGORITHM FOR ANALYZING LIMIT CYCLES IN DISCRETE CONTROL SYSTEMS
SN - 972-8865-31-7
IS - 2184-2809
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
PB - SciTePress

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