A Hybrid Method for the Analysis of Non-uniformly Sampled Systems

  • Laurentiu Hetel
  • Alexandre Kruszewski
  • Jean-Pierre Richard
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 423)

Abstract

In this chapter we propose a method for the analysis of sampled-data systems with sampling jitter. We consider that the sampling interval is unknown and time-varying and we provide a method for estimating the Lyapunov exponent. The proposed method is hybrid, in the sense that it combines continuous-time models (based on time delay systems) with polytopic embedding methods, specific to discrete-time approaches. The approach exploits the fact that the command is a piecewise constant signal and leads to less conservative stability conditions with respect to the existing literature. Using geometrical arguments, a lower bound of the Lyapunov exponent can be expressed as a generalized eigenvalue problem.

Keywords

Lyapunov Exponent Linear Matrix Inequality Model Predictive Control Network Control System Quadratic Lyapunov Function 
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 GmbH Berlin Heidelberg 2012

Authors and Affiliations

  • Laurentiu Hetel
    • 1
  • Alexandre Kruszewski
    • 1
  • Jean-Pierre Richard
    • 2
  1. 1.LAGIS, FRE CNRS 3303Ecole Centrale de LilleVilleneuve d’Ascq CedexFrance
  2. 2.INRIA Non-A; LAGIS, FRE CNRS 3303Ecole Centrale de LilleVilleneuve d’Ascq CedexFrance

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