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An Output Feedback Control Design for \( {\rm H}_\infty \) Synchronization of Master-Slave Markovian Jump Systems with Time-Varying Delays

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Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

In this chapter, an output feedback control proach is proposed for exponential synchronization problem of master slave systems with both discrete and distributed time-varying delays and Markovian switching parameters. Using an appropriate Lyapunov Krasovskii functional, some delay-dependent sufficient conditions and a synchronization law which include the master slave parameters are established for designing a mode-dependent output feedback control law in terms of linear matrix inequalities. The controller guarantees the \( {\rm{H}}_\infty \) synchronization of the two coupled master and slave systems regardless of their initial states. A numerical example is given to show the effectiveness of the method.

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Authors and Affiliations

  1. Department of Engineering, Faculty of Engineering and Science, University of Agder, N-4898, Grimstad, Norway

    Hamid Reza Karimi

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  1. Hamid Reza Karimi
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Correspondence to Hamid Reza Karimi .

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Editors and Affiliations

  1. , Institute for Mathematical Research, University Putra Malaysia, Hak Cipta Terpelihara UPM 2007, Serdang, 43400, Malaysia

    Santo Banerjee

  2. , Dipartimento di Matematica, Politecnico di Torino, corso Duca degli Abruzzi 24, Torino, 10129, Italy

    Lamberto Rondoni

  3. and Technology, Department of Physics, Camellia School of Engineering, Nadibag PO Kajipara Barasat, Kolkata, 700124, India

    Mala Mitra

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Karimi, H.R. (2012). An Output Feedback Control Design for \( {\rm H}_\infty \) Synchronization of Master-Slave Markovian Jump Systems with Time-Varying Delays. In: Banerjee, S., Rondoni, L., Mitra, M. (eds) Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29329-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-29329-0_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29328-3

  • Online ISBN: 978-3-642-29329-0

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