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Authors: Nina Vunder ; Natalia Dudarenko and Valery Grigoriev

Affiliation: Faculty of Control Systems and Robotics, ITMO University, 49 Kronverksky Pr., Saint Petersburg and Russia

ISBN: 978-989-758-380-3

Keyword(s): Deviation, Peak Effect, Linear Control Systems, Delay, Discrete Systems, Eigenvectors, Modal Control, Condition Number, Norms.

Related Ontology Subjects/Areas/Topics: Adaptive Signal Processing and Control ; Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control ; System Modeling

Abstract: The paper considers a problem of deviations (peak effect) in the free motion of linear discrete stable systems with a control signal delay. The problem consists in structure of eigenvectors of the state matrix. The control signal delay adds additional order to a discrete-time model and leads to the variation of eigenvectors structure and deviation increasing in the free motion of the system. A tracking discrete-time system is a subject of the research. An approach to the modal control law design taking into account the value of delay and the deviation is suggested in the paper. It is proposed to assess the upper bound of peaking processes in the system with the condition number of an eigenvectors matrix. The results are supported by an example.

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Paper citation in several formats:
Vunder, N.; Dudarenko, N. and Grigoriev, V. (2019). Large Deviations in Discrete-time Systems with Control Signal Delay.In Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-380-3, pages 281-288. DOI: 10.5220/0007920702810288

@conference{icinco19,
author={Nina Vunder. and Natalia Dudarenko. and Valery Grigoriev.},
title={Large Deviations in Discrete-time Systems with Control Signal Delay},
booktitle={Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2019},
pages={281-288},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007920702810288},
isbn={978-989-758-380-3},
}

TY - CONF

JO - Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Large Deviations in Discrete-time Systems with Control Signal Delay
SN - 978-989-758-380-3
AU - Vunder, N.
AU - Dudarenko, N.
AU - Grigoriev, V.
PY - 2019
SP - 281
EP - 288
DO - 10.5220/0007920702810288

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