Adaptive Event Triggering Normed Observer Control of Nonlinear Time Delayed Systems

Abstract

In this paper, event-triggering state-norm estimators are studied for nonlinear delayed systems also normed-observability concept is extended for these systems. Moreover, we established a Lyapunov–Krasovskii functional to obtain normed observability of the delayed nonlinear systems. Furthermore, an adaptive observer is developed such that convergence of the error system is guaranteed. The proposed event-triggering algorithm yields an event-based observer that ensures uniform ultimate boundedness of the tracking error.