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Synchronization of Linear Multi-Agent Systems with Input Nonlinearities via Dynamic Protocols

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Book cover Mathematical Control Theory II

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 462))

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Abstract

This paper is concerned with the local synchronization of linear agents subject to sector-bounded input nonlinearities over an undirected communication graph via dynamic output feedback protocol. We first derive a sufficient condition for achieving the local synchronization for any nonlinearities satisfying a given sector condition with a given dynamic protocol in terms of LMIs. Based on this analysis, we present a sufficient BMI synthesis condition of a dynamic protocol which locally synchronizes the linear agents with arbitrary sector-bounded input nonlinearities. Though the present BMI condition is non-convex, the condition is numerically tractable because it does not depend on the size of the communication graph except for computation of the Laplacian eigenvalues.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, Ritsumeikan University, 1-1-1 Noji-higashi, Kusatsu, Shiga, 525-8577, Japan

    Kiyotsugu Takaba

Authors
  1. Kiyotsugu Takaba
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Correspondence to Kiyotsugu Takaba .

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Editors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology, Mumbai, India

    Madhu N. Belur

  2. Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands

    M. Kanat Camlibel

  3. Department of Electronics and Computer Science, University of Southampton, Southampton, United Kingdom

    Paolo Rapisarda

  4. Engineering and Technology Institute Groningen, University of Groningen, Groningen, The Netherlands

    Jacquelien M.A. Scherpen

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Takaba, K. (2015). Synchronization of Linear Multi-Agent Systems with Input Nonlinearities via Dynamic Protocols. In: Belur, M., Camlibel, M., Rapisarda, P., Scherpen, J. (eds) Mathematical Control Theory II. Lecture Notes in Control and Information Sciences, vol 462. Springer, Cham. https://doi.org/10.1007/978-3-319-21003-2_9

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  • DOI: https://doi.org/10.1007/978-3-319-21003-2_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21002-5

  • Online ISBN: 978-3-319-21003-2

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