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The Effect of Approximating Distributed Delay Control Laws on Stability

  • Wim Michiels
  • Sabine Mondié
  • Dirk Roose
  • Michel Dambrine
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 38)

Abstract

An overview of stability results on the implementation of distributed delay control laws, arising in the context of finite spectrum assignment, is given. First the case where distributed delays are approximated with a finite sum of point-wise delays is considered. The instability mechanism is briefly discussed and conditions for a safe implementation are presented. Secondly modifications of the control law to remove the limitations, imposed by these conditions, are outlined. Throughout the chapter eigenvalue plots are used to provide an intuitive explanation for the phenomena and results.

Keywords

Essential Spectrum Quadrature Rule Instability Mechanism Smith Predictor Unstable Eigenvalue 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Wim Michiels
    • 1
  • Sabine Mondié
    • 2
  • Dirk Roose
    • 1
  • Michel Dambrine
    • 3
  1. 1.K.U. Leuven, Department of Computer ScienceHeverleeBelgium
  2. 2.Departemento de Control AutomáticoCINVESTAV-IPNMéxicoMexico
  3. 3.LAIL, UPRESA CNRS 8021, Ecole Centrale de LilleFrance

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