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Conditions of Disturbances Rejection for Discrete First, Second Order and Repetitive Sliding Mode Controllers

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Book cover Applications of Sliding Mode Control

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 79))

Abstract

Harmonic disturbance rejection is an important field of control theory and applications. In this paper a discrete first and second order sliding mode control for multivariable systems are investigated. The necessary conditions of harmonic disturbances rejection using first and second order sliding mode control laws are elaborated. In order to improve the performances of sliding mode control in periodic disturbances rejection, a discrete repetitive sliding mode control is presented. A necessary condition for the choice of the discontinuous terms in discrete repetitive sliding mode control is then developed. The different proposed control strategies have been tested on numerical simulation example. The obtained results are very satisfactory in terms of compensation of periodic disturbances using discrete repetitive sliding mode control.

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Acknowledgments

This work has been supported by the Ministry of the Higher Education and Scientific Research in Tunisia.

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Authors and Affiliations

  1. Research Unit CONPRI, ENIG, University of Gabes, Gabes, Tunisia

    Khadija Dehri, Majda Ltaief & Ahmed Said Nouri

Authors
  1. Khadija Dehri
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  2. Majda Ltaief
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  3. Ahmed Said Nouri
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Corresponding author

Correspondence to Khadija Dehri .

Editor information

Editors and Affiliations

  1. University of Sfax, Sfax, Tunisia

    Nabil Derbel

  2. University of Tunis Carthage, Urbain Nord, Tunisia

    Jawhar Ghommam

  3. University of the West of England, Bristol, United Kingdom

    Quanmin Zhu

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Dehri, K., Ltaief, M., Nouri, A.S. (2017). Conditions of Disturbances Rejection for Discrete First, Second Order and Repetitive Sliding Mode Controllers. In: Derbel, N., Ghommam, J., Zhu, Q. (eds) Applications of Sliding Mode Control. Studies in Systems, Decision and Control, vol 79. Springer, Singapore. https://doi.org/10.1007/978-981-10-2374-3_2

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  • DOI: https://doi.org/10.1007/978-981-10-2374-3_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2373-6

  • Online ISBN: 978-981-10-2374-3

  • eBook Packages: EngineeringEngineering (R0)

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