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Nonlinear Controller Design Based on Invariant Manifold Theory

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Book cover Mathematical Control Theory I

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 461))

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Abstract

The role of invariant manifold in nonlinear control theory is reviewed. First, stable, center-stable and center manifold algorithms to compute flows on these manifolds are presented. Next, application results of the computational methods are illustrated for optimal stabilization, optimal output regulation and periodic orbit design problems.

To Arjan van der Schaft on the occasion of his 60th birthday

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Authors and Affiliations

  1. Faculty of Science and Engineering, Nanzan University, Yamasato-cho, Showa-ku, Nagoya, Japan

    Noboru Sakamoto

Authors
  1. Noboru Sakamoto
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Correspondence to Noboru Sakamoto .

Editor information

Editors and Affiliations

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

    M. Kanat Camlibel

  2. Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, New York, USA

    A. Agung Julius

  3. Department of Electrical Engineering, Indian Institute of Technology, Chennai, Tamil Nadu, India

    Ramkrishna Pasumarthy

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

    Jacquelien M.A. Scherpen

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Sakamoto, N. (2015). Nonlinear Controller Design Based on Invariant Manifold Theory. In: Camlibel, M., Julius, A., Pasumarthy, R., Scherpen, J. (eds) Mathematical Control Theory I. Lecture Notes in Control and Information Sciences, vol 461. Springer, Cham. https://doi.org/10.1007/978-3-319-20988-3_12

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  • DOI: https://doi.org/10.1007/978-3-319-20988-3_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20987-6

  • Online ISBN: 978-3-319-20988-3

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