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Dynamic Inversion for Nonaffine-in-Control Systems via Time-Scale Separation. Part I

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Abstract

This paper presents a new method for approximate dynamic inversion of nonaffine-in-control systems via time-scale separation. The control signal is sought as a solution of the “fast” dynamics and is shown to asymptotically stabilize the original nonaffine system. Sufficient conditions are formulated, which satisfy the assumptions of the Tikhonov theorem in the theory of singular perturbations. Several examples illustrate the theoretical results.

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Authors and Affiliations

  1. Aerospace & Ocean Engineering, Virginia Polytechnic Institute & State University, Blacksburg, VA, 24061-0203, USA

    Naira Hovakimyan

  2. The Boeing Company, Huntington Beach, CA, 92647, USA

    Eugene Lavretsky

  3. Department of Mathematics, London School of Economics, Houghton Street, London, WC2A 2AE, United Kingdom

    Amol Sasane

Authors
  1. Naira Hovakimyan
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  2. Eugene Lavretsky
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  3. Amol Sasane
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Correspondence to Naira Hovakimyan.

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Hovakimyan, N., Lavretsky, E. & Sasane, A. Dynamic Inversion for Nonaffine-in-Control Systems via Time-Scale Separation. Part I. J Dyn Control Syst 13, 451–465 (2007). https://doi.org/10.1007/s10883-007-9029-1

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  • DOI: https://doi.org/10.1007/s10883-007-9029-1

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