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Higher Order Sliding Mode Control by Keeping a 2-Sliding Constraint

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Advances in Sliding Mode Control

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

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Abstract

This article investigates a new algorithm for higher order sliding mode control. The proposed control law keeps a constraint in 2-sliding mode such that the finite time stabilization of the chain of integrators is achieved. The proposed switching function has relative degree two with respect to the input and a second order sliding controller is used. The twisting controller is used for achieving finite time convergent 2-sliding mode to the switching manifold. The switching manifold is designed to provide finite time convergence of the integrator chain. The fractional powers in the switching function are carefully designed to prevent the unboundedness or singularity arising because of the switching constraint being kept at zero.

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Authors and Affiliations

  1. Systems and Control Engineering, IIT, Bombay, India

    Prasiddh Trivedi & Bijnan Bandyopadhyay

Authors
  1. Prasiddh Trivedi
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  2. Bijnan Bandyopadhyay
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Corresponding author

Correspondence to Prasiddh Trivedi .

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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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Trivedi, P., Bandyopadhyay, B. (2013). Higher Order Sliding Mode Control by Keeping a 2-Sliding Constraint. 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_7

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  • DOI: https://doi.org/10.1007/978-3-642-36986-5_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36985-8

  • Online ISBN: 978-3-642-36986-5

  • eBook Packages: EngineeringEngineering (R0)

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