09.06.2024
Event-Triggered State Observer Design for a Class of Nonlinear Time-Delay Fractional-Order Systems
Erschienen in: Circuits, Systems, and Signal Processing | Ausgabe 9/2024
EinloggenAktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by (Link öffnet in neuem Fenster)
Abstract
This paper studies the problem of designing event-triggered state observers for a class of nonlinear time-delay fractional-order systems. The time delay in the system is assumed to be unknown and non-differentiable but bounded within a closed interval. A novel discrete-time event-triggered fractional-order observer is first designed to provide an estimation vector for the state vector of the considered systems. It is ensured that the estimation vector robustly estimates the state vector of the nonlinear time-delay fractional-order systems. Then, a delay-dependent sufficient condition in terms of a convex optimization problem for the existence of the observer is established based on some lemmas relating to the Caputo derivative estimation of quadratic functions. Finally, three numerical examples demonstrate the validity of the proposed approach.