Sampled-data stabilization via round-robin scheduling: A direct Lyapunov-Krasovskii approach

Kun Liu, Emilia Fridman, Laurentiu Hetel, Jean Pierre Richard

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper studies stabilization of networked control systems with communication constraints, variable sampling interval and delay. We focus on static output feedback controllers for linear systems. The system sensors nodes are supposed to be distributed over a network. Data transmission over the network is subject to the Round-Robin scheduling protocol. We present 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.

Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Pages1459-1464
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
StatePublished - 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

Keywords

  • Lyapunov-Krasovskii method
  • Networked control systems
  • Round-Robin scheduling

Fingerprint

Dive into the research topics of 'Sampled-data stabilization via round-robin scheduling: A direct Lyapunov-Krasovskii approach'. Together they form a unique fingerprint.

Cite this