Finite-time stabilisation of a class of time-varying nonlinear systems by a mixed event-based and continuous-time strategy

Abstract

In this paper, a mixed event-triggered and continuous-time control method is proposed, which can guarantee finite-time stabilisation of the fixed point in a class of time-varying nonlinear systems. Benefiting from an event-triggered framework, which is constructed based on the indefinite Lyapunov theory, the communication/computation costs in the transient time can be reduced by using the proposed method. In a special case, this method is converted to a fully event-triggered control strategy for asymptotic stabilisation of the fixed point in the considered class of time-varying nonlinear systems. The effectiveness of the proposed method is verified by numerical simulations.

KEYWORDS:

• Finite-time stabilisation
• event-triggered control
• time-varying nonlinear systems
• indefinite Lyapunov theory

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

H. R. Ghazisaeedi

H. R. Ghazisaeedi received the B.Sc and M.Sc degrees in electrical engineering from the Iran University of Science and Technology and  Sharif University of Technology in 2013 and 2015 respectively. He is currently pursuing the Ph.D. degree with the Electrical Engineering Department, Sharif University of Technology, Tehran, Iran. His current research interests include Event-triggered control of uncertain systems and lyapunov based techniques in the design of the controller.

M. S. Tavazoei

M. S. Tavazoei received the B.Sc., M.Sc., and Ph.D. degrees in electrical engineering from the Sharif University of Technology, Tehran, Iran, in 2003, 2005, and 2008, respectively. He is currently a Full Professor with the Department of Electrical Engineering, Sharif University of Technology. He was a recipient of the Young Investigator Award of the IEEE Iran Section in 2012. He was also selected as the Prominent Young Scientist in electrical and computer engineering by the Academy of Sciences of Iran in 2017.