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Fractional Order Differentiation and Robust Control Design pp 193–235Cite as

H ∞ Control of Commensurate Fractional Order Models

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Part of the book series: Intelligent Systems, Control and Automation: Science and Engineering ((ISCA,volume 77))

Abstract

A commensurate fractional order model can be represented by a pseudo state space representation similar to the state space representation of an integer order model as shown in Chap. 1. This similarity can be used to extend H ∞ synthesis methods developed for integer order models represented by a state space representation to the case of fractional order models.

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Authors and Affiliations

  1. IMS Laboratory - CNRS UMR 5218 – Bordeaux INP - Bordeaux University Bat A31 – 351 cours de la Libération, 33400, Cedex Talence, France

    J. Sabatier, C. Farges & L. Fadiga

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  1. J. Sabatier
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  2. C. Farges
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  3. L. Fadiga
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Correspondence to J. Sabatier .

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Sabatier, J., Farges, C., Fadiga, L. (2015). H ∞ Control of Commensurate Fractional Order Models. In: Fractional Order Differentiation and Robust Control Design. Intelligent Systems, Control and Automation: Science and Engineering, vol 77. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9807-5_4

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  • DOI: https://doi.org/10.1007/978-94-017-9807-5_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-9806-8

  • Online ISBN: 978-94-017-9807-5

  • eBook Packages: EngineeringEngineering (R0)

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