Event-triggered PI control of time-delay systems with parametric uncertainties

Takuya Iwaki*, Emilia Fridman, Karl Henrik Johansson

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

This paper studies sampled-data implementation of event-triggered PI control for time-delay systems with parametric uncertainties. The systems are given by continuous-time linear systems with parameter uncertainty polytopes. We propose an event-triggered PI controller, in which the controller transmits its signal to the actuator when its relative value goes beyond a threshold. A state-space formulation of the Smith predictor is used to compensate the time-delay. An asymptotic stability condition is derived in the form of LMIs using a Lyapunov-Krasovskii functional. Numerical examples illustrate that our proposed controller reduces the communication load without performance degradation and despite plant uncertainties.

Original languageEnglish
Pages (from-to)2739-2744
Number of pages6
JournalIFAC-PapersOnLine
Volume53
Issue number2
DOIs
StatePublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 2020

Keywords

  • Event-triggered control
  • Linear matrix inequality
  • Networked control
  • PI control
  • Robust control
  • Sampled-data systems
  • Time-delay systems

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