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Practical Relative Degree Approach in Sliding-Mode Control

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Advances in Sliding Mode Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 440))

Abstract

The high-order sliding-mode approach offers a robust way to solve numerous output-regulation problems when the system relative degree is known. Still the difficult cases remain when the relative degree does not exist, is very high, or the mathematical model is not reliable. The notion of practical relative degree is proposed, which generalizes the standard relative-degree notion for the cases of uncertain systems lacking certain mathematical model. Practical output regulation is ensured. Computer simulation and practical results confirm the theoretical approach.

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Authors and Affiliations

  1. Tel-Aviv University, 69978 Tel-Aviv, Tel-Aviv, Israel

    Arie Levant

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  1. Arie Levant
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Correspondence to Arie Levant .

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Editors and Affiliations

  1. , Interdisciplinary Programme in Systems, Indian Institute of Technology Bombay, ACRE Building 114 B, Mumbai, 400 076, Maharashtra, India

    B Bandyopadhyay

  2. , Dept. of Electrical Engineering, Indian Institute of Technology Delhi, Room No : II/335, New Delhi, 110 016, India

    S Janardhanan

  3. , Department of Electronics, University of Kent, Jennison Building - Room 1.54, Kent, CT2 7NT, United Kingdom

    Sarah K. Spurgeon

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Levant, A. (2013). Practical Relative Degree Approach in Sliding-Mode Control. In: Bandyopadhyay, B., Janardhanan, S., Spurgeon, S. (eds) Advances in Sliding Mode Control. Lecture Notes in Control and Information Sciences, vol 440. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36986-5_5

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  • DOI: https://doi.org/10.1007/978-3-642-36986-5_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36985-8

  • Online ISBN: 978-3-642-36986-5

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