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Global Stabilization of Switched Nonlinear Systems Using Backstepping Approach: Applications to Chemical Processes

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Advances and Applications in Nonlinear Control Systems

Part of the book series: Studies in Computational Intelligence ((SCI,volume 635))

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Abstract

This work presents a hybrid control methodology for a broad class of switched nonlinear systems in strict-feedback form under arbitrary switching. Thus, the focus of this chapter is to devise controller design based on the formalism of backstepping and simultaneous domination assumption it is shown that, a classes of state feedback controllers and a common Lyapunov function (CLF) are simultaneously constructed in a way that switched system can be globally uniformly asymptotically stabilized under arbitrary switching. Finally a global stabilization problem for a Continuous Stirred Tank Reactor (CSTR) in strict-feedback form with arbitrary switching between two modes is discussed to demonstrate effectiveness of the proposed approach.

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Authors and Affiliations

  1. Laboratory of Advanced Systems, Polytechnic School of Tunisia (EPT), B.P. 743, 2078, Marsa, Tunisia

    Arwa Abdelkarim, Khalil Jouili & Naceur BenHadj Braiek

Authors
  1. Arwa Abdelkarim
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  2. Khalil Jouili
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  3. Naceur BenHadj Braiek
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Corresponding author

Correspondence to Arwa Abdelkarim .

Editor information

Editors and Affiliations

  1. Chennai, India

    Sundarapandian Vaidyanathan

  2. Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Christos Volos

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Abdelkarim, A., Jouili, K., Braiek, N.B. (2016). Global Stabilization of Switched Nonlinear Systems Using Backstepping Approach: Applications to Chemical Processes. In: Vaidyanathan, S., Volos, C. (eds) Advances and Applications in Nonlinear Control Systems. Studies in Computational Intelligence, vol 635. Springer, Cham. https://doi.org/10.1007/978-3-319-30169-3_29

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  • DOI: https://doi.org/10.1007/978-3-319-30169-3_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30167-9

  • Online ISBN: 978-3-319-30169-3

  • eBook Packages: EngineeringEngineering (R0)

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