Absolute stabilization of Lur'e systems under event-triggered feedback

Fan Zhang, Manuel Mazo, Nathan van de Wouw

Research output: Contribution to journalConference articleScientificpeer-review

14 Citations (Scopus)
108 Downloads (Pure)


In this paper, we deal with event-triggered feedback control for Lur'e systems that consist of negative feedback interconnection of nominal linear dynamics and an unknown static nonlinearity. The unknown nonlinearity is conventionally assumed to lie in a given sector while the sector bounds are known. In the presence of event-triggered feedback mechanisms, the control input is only computed and updated when a specific event occurs. In this sense, control system resources (e.g. computation and communication capabilities) can be saved. A sufficient condition for the existence of an event-triggering condition and the corresponding even-triggered controller design are obtained by means of linear matrix inequality techniques. In addition, the avoidance of Zeno behavior is guaranteed. Furthermore, a result on the event-triggered emulation of a continuous-time feedback controller for Lur'e systems is presented. Finally, numerical simulations are given to illustrate the theoretical results along with some concluding remarks.

Original languageEnglish
Pages (from-to)15301-15306
Issue number1
Publication statusPublished - 2017
Event20th World Congress of the International Federation of Automatic Control (IFAC), 2017 - Toulouse, France
Duration: 9 Jul 201714 Jul 2017
Conference number: 20

Bibliographical note

Accepted Author Manuscript


  • absolute stabilization
  • event-triggered feedback
  • linear matrix inequalities
  • Lur'e systems
  • Zeno behavior


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