This chapter proposes a discrete-time differentiation algorithm of arbitrary order inspired by the uniform robust exact differentiator [1] and the generalized differentiator with negative homogeneity degree [2]. As the well-known explicit Euler method is not suitable for discretizing algorithms with the fixed-time convergence property, a semi-implicit discretizationSemi-implicit discretization and a stable explicit Euler discretization approach are proposed. It is proven that the proposed discrete-time algorithms are globally asymptotically stable in the unperturbed case for arbitrary order and converge to an attractive invariant set around the origin in the perturbed case. Furthermore the performance of the proposed algorithm is evaluated via simulation studies.
Discrete-Time Implementations of Differentiators Homogeneous in the Bi-Limit
Studies in Systems, Decision and Control
01.11.2023
24 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Bi-homogeneous Differentiators
Springer Verlag | 2023
|New Homogeneous Controllers and Differentiators
Springer Verlag | 2020
|Effect of Euler Explicit and Implicit Time Discretizations on Variable-Structure Differentiators
Springer Verlag | 2023
|Technology Report - ELECTRONICS - User interfaces becoming big differentiators
Online Contents | 2013
Silicon-Based Integrated Tunable Fractional Order Photonic Temporal Differentiators
British Library Online Contents | 2017
|