Periodic event-triggered control with a relaxed triggering condition

Aleksandra Szymanek, Gabriel De A. Gleizer, Manuel Mazo

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)
18 Downloads (Pure)


In networked control systems (NCSs), extensive data exchange between plants and controllers leads to an unnecessary usage of communication and computational resources. Aperiodic sample-and-hold methods such as event-triggered control (ETC) can reduce the number of transmissions, allowing more applications to operate within the same network. However, most existing event-triggering mechanisms enforce a Lyapunov function of the continuous-time closed-loop system to be (almost) always decreasing. We propose a relaxed triggering condition for periodic event-triggered control (PETC) based on bounding the Lyapunov function with an exponentially decaying reference function, which reduces the communications while guaranteeing the same decay rate as competing strategies. We provide sufficient global exponential and input-to-state stability conditions for linear time-invariant (LTI) systems under our event-based state feedback, giving explicit performance guarantees in the presence of additive disturbances. Finally, some simulation results illustrate the performance of the proposed control strategy.

Original languageEnglish
Title of host publicationProceedings 2019 IEEE 58th Conference on Decision and Control (CDC 2019)
Place of PublicationPiscataway, NJ, USA
ISBN (Electronic)978-1-7281-1398-2
Publication statusPublished - 2019
Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
Duration: 11 Dec 201913 Dec 2019


Conference58th IEEE Conference on Decision and Control, CDC 2019

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project

Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • disturbances
  • input-to-state stability
  • kevent-triggered control
  • networked control systems
  • state feedback


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