A switched system approach to exponential stabilization through communication network

Alexandre Kruszewski, Wenjuan J. Jiang, Emilia Fridman, Jean Pierre Richard, Armand Toguyeni

Research output: Contribution to journalArticlepeer-review

Abstract

This paper considers a networked control loop, where the plant is a "slave" part, and the remote controller and observer constitute the "master". Since the performance of networked control systems (NCS) depends on the quality of service (QoS) available from the network, it is worth to design a controller that takes into account qualitative information on the QoS in realtime. The goal of the design is to provide a controller that guarantees the following two things: 1) high performances (here expressed by exponential decay rates) when the QoS remains globally the same and 2) global stability when the QoS changes. In order to guarantee the global stability, the controller will switch by respecting a dwell time constraint. The dwell time parameters are obtained by using the switched system theories and the obtained conditions are linear matrix inequalities. An experiment illustrates how the controller can be implemented for a control over Internet application (remote control of a small robot).

Original languageEnglish
Article number5958635
Pages (from-to)887-900
Number of pages14
JournalIEEE Transactions on Control Systems Technology
Volume20
Issue number4
DOIs
StatePublished - 2012

Keywords

  • Gain scheduling
  • Lyapunov-Krasovskii method
  • linear matrix inequality (LMI)
  • networked control systems
  • time delay approach

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