Robust Stabilization of Nonlinear Globally Lipschitz Delay Systems

  • Tarek Ahmed-Ali
  • Iasson Karafyllis
  • Miroslav Krstic
  • Francoise Lamnabhi-Lagarrigue
Chapter
Part of the Advances in Delays and Dynamics book series (ADVSDD, volume 4)

Abstract

This paper studies the application of a recently proposed control scheme to globally Lipschitz nonlinear systems for which the input is delayed and applied with zero order hold, the measurements are sampled and delayed, and only an output is measured (i.e., the state vector is not available). The control scheme consists of an observer for the delayed state vector, an inter-sample predictor for the output signal, an approximate predictor for the future value of the state vector, and the nominal feedback law applied with zero order hold and computed for the predicted value of the future state vector. The resulting closed-loop system is robust with respect to modeling and measurement errors and robust to perturbations of the sampling schedule.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Tarek Ahmed-Ali
    • 1
  • Iasson Karafyllis
    • 2
  • Miroslav Krstic
    • 3
  • Francoise Lamnabhi-Lagarrigue
    • 4
  1. 1.Laboratoire GREYC CNRS-ENSICAENCaen CedexFrance
  2. 2.Department of MathematicsNational Technical University of AthensAthensGreece
  3. 3.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaLa JollaUSA
  4. 4.Centre National de la Recherche ScientifiqueGif-Sur-YvetteFrance

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