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Combined Controls for Noisy Chaotic Systems

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Book cover Control and Chaos

Part of the book series: Mathematical Modelling ((MMO,volume 8))

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Abstract

Consider a class of chaotic dynamical systems in a noisy environment. We propose a design method for the construction of a combined controller. There are two components involved in this combined controller: a directing controller and a local feedback correction. The directing controller is obtained by using a computational algorithm for solving open-loop optimal control problems. Its aim is to direct orbits of the dynamical system towards a desired target. The local feedback correction is to act on the dynamical system throughout the targeting process as a supplementary controller to counter the noisy effects. Numerical simulations are presented to illustrate the feasibility and efficiency of the proposed design method.

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Author information

Authors and Affiliations

  1. Centre for Applied Dynamics and Optimization, Department of Mathematics, The University of Western Australia, Perth, 6907, Australia

    Mirko Paskota, Kok Lay Teo & Alistair Mees

Authors
  1. Mirko Paskota
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  2. Kok Lay Teo
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  3. Alistair Mees
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Editor information

Editors and Affiliations

  1. Center for Applied Dynamics and Optimization, Department of Mathematics, The University of Western Australia, 6907, Perth, Australia

    Kevin Judd , Alistair Mees  & Kok Lay Teo ,  & 

  2. Aerospace and Mechanical Engineering, University of Arizona, 85721, Tucson, Arizona, USA

    Thomas L. Vincent

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© 1997 Birkhäuser Boston

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Paskota, M., Teo, K.L., Mees, A. (1997). Combined Controls for Noisy Chaotic Systems. In: Judd, K., Mees, A., Teo, K.L., Vincent, T.L. (eds) Control and Chaos. Mathematical Modelling, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2446-4_14

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  • DOI: https://doi.org/10.1007/978-1-4612-2446-4_14

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7540-4

  • Online ISBN: 978-1-4612-2446-4

  • eBook Packages: Springer Book Archive

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