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Application of Backstepping Control Technique to Fractional Order Dynamic Systems

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Fractional Dynamics and Control

Abstract

This chapter focuses on the application of backstepping control scheme for fractional order dynamic systems. As in the case of integer order version, the control scheme is applicable to a particular class of systems letting the designer obtain a closed loop control law in a nested structure. A Lyapunov function is defined at each stage and the negativity of an overall Lyapunov function is ensured by proper selection of the control law. Two exemplar cases are considered in this chapter.

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Acknowledgment

This work is supported in part by Turkish Scientific Council (TÜBİTAK) Contract 107E137.

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Authors and Affiliations

  1. Department of Pilotage, University of Turkish Aeronautical Association, Akköprü, Ankara, Turkey

    Mehmet Önder Efe

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  1. Mehmet Önder Efe
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Correspondence to Mehmet Önder Efe .

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Editors and Affiliations

  1. Faculty of Art and Sciences, Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  2. Institute of Engineering, Department of Electrical Engineering, Polytechnic Institute of Porto, Rua Dr António Bernadino Almeida 431, Porto, 4200-072, Portugal

    José António Tenreiro Machado

  3. Edwardsville, School of Engineering, Southern Illinois University, Room: EB2064, Edwardsville, 62026-1805, USA

    Albert C. J. Luo

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Efe, M.Ö. (2012). Application of Backstepping Control Technique to Fractional Order Dynamic Systems. In: Baleanu, D., Machado, J., Luo, A. (eds) Fractional Dynamics and Control. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0457-6_3

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  • DOI: https://doi.org/10.1007/978-1-4614-0457-6_3

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-0456-9

  • Online ISBN: 978-1-4614-0457-6

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