Event-based triggering mechanisms for nonlinear control systems

Abstract

This study examines triggered implementations of stabilizing controllers for general nonlinear systems. By using perturbation theory and Taylor’s theorem, we propose new event-triggering and self-triggering mechanisms for general nonlinear control systems that are not necessarily input-to-state stable with respect to measurement errors. Both mechanisms are presented based on mild conditions and can ensure the uniform ultimate boundedness of the solutions of the resulting closed-loop control systems. The ultimate bounds can be made arbitrarily small by adjusting the design parameters. The effectiveness of the theoretical results is illustrated by simulations.