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Circuits, Systems, and Signal Processing
Published in:

09-06-2024

Event-Triggered State Observer Design for a Class of Nonlinear Time-Delay Fractional-Order Systems

Author: Dinh Cong Huong

Published in: Circuits, Systems, and Signal Processing | Issue 9/2024

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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.
previous article Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode Strategy
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Metadata
Title
Event-Triggered State Observer Design for a Class of Nonlinear Time-Delay Fractional-Order Systems
Author
Dinh Cong Huong
Publication date
09-06-2024
Publisher
Springer US
Published in
Circuits, Systems, and Signal Processing / Issue 9/2024
Print ISSN: 0278-081X
Electronic ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-024-02745-8

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