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

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

Zhang, F. (TU Delft Team Tamas Keviczky)
Mazo, M. (TU Delft Team Tamas Keviczky)
van de Wouw, N. (TU Delft Team Bart De Schutter)

2017

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.

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

http://resolver.tudelft.nl/uuid:a02e528d-9c1d-4f16-bcc1-cd050aa8fbb3

https://doi.org/10.1016/j.ifacol.2017.08.2441

1474-6670

IFAC-PapersOnLine, 50 (1), 15301-15306

20th World Congress of the International Federation of Automatic Control (IFAC), 2017, 2017-07-09 → 2017-07-14, Toulouse, France

Accepted Author Manuscript

Institutional Repository

journal article

© 2017 F. Zhang, M. Mazo, N. van de Wouw