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Sampled-Data Stabilization under Round-Robin Scheduling

  • Chapter
Delay Systems

Part of the book series: Advances in Delays and Dynamics ((ADVSDD,volume 1))

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Abstract

This chapter analyzes the exponential stability of Networked Control Systems (NCSs) with communication constraints, variable sampling intervals and constant delays. We focus on static output feedback controllers for linear systems. The system sensors nodes are supposed to be distributed over a network. The scheduling of sensor information towards the controller is ruled by the classical Round-Robin protocol. We develop a time-delay approach for this problem by presenting the closed-loop system as a switched system with multiple delayed samples. By constructing an appropriate Lyapunov functional, which takes into account the switched system model and the sawtooth delays induced by sampled-data control, we derive the exponential stability conditions in terms of Linear Matrix Inequalities (LMIs). Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the classical cart-pendulum benchmark problem.

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Authors and Affiliations

  1. School of Electrical Engineering, Tel Aviv University, Tel Aviv, 69978, Israel

    Kun Liu & Emilia Fridman

  2. LAGIS, FRE CNRS 3303, Ecole Centrale de Lille, Cite Scientifique, University Lille Nord de France, BP 48, 59651, Villeneuve d’Ascq cedex, France

    Laurentiu Hetel & Jean-Pierre Richard

Authors
  1. Kun Liu
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  2. Emilia Fridman
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  3. Laurentiu Hetel
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  4. Jean-Pierre Richard
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Corresponding author

Correspondence to Kun Liu .

Editor information

Editors and Affiliations

  1. Dept. of Instrumentation & Control Eng. Faculty of Mechanical Engineering, Czech Technical University, Prague, Czech Republic

    Tomáš Vyhlídal

  2. Institut de Recherche en Communications et Cybernétique de Nantes, Nantes Cedex 3, France

    Jean-François Lafay

  3. Department of Mechanical and Industrial Engineering, Northeastern University, Boston, Massachusetts, USA

    Rifat Sipahi

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Liu, K., Fridman, E., Hetel, L., Richard, JP. (2014). Sampled-Data Stabilization under Round-Robin Scheduling. In: Vyhlídal, T., Lafay, JF., Sipahi, R. (eds) Delay Systems. Advances in Delays and Dynamics, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-01695-5_13

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  • DOI: https://doi.org/10.1007/978-3-319-01695-5_13

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01694-8

  • Online ISBN: 978-3-319-01695-5

  • eBook Packages: EngineeringEngineering (R0)

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