Version 1
: Received: 11 September 2024 / Approved: 12 September 2024 / Online: 13 September 2024 (04:19:40 CEST)
How to cite:
Aguila-Camacho, N.; Gallegos, J. A.; Chen, Y.; Travieso-Torres, J. C. Analysis of Error-Based Switched Fractional Order Adaptive Systems: An Error Model Approach. Preprints2024, 2024090949. https://doi.org/10.20944/preprints202409.0949.v1
Aguila-Camacho, N.; Gallegos, J. A.; Chen, Y.; Travieso-Torres, J. C. Analysis of Error-Based Switched Fractional Order Adaptive Systems: An Error Model Approach. Preprints 2024, 2024090949. https://doi.org/10.20944/preprints202409.0949.v1
Aguila-Camacho, N.; Gallegos, J. A.; Chen, Y.; Travieso-Torres, J. C. Analysis of Error-Based Switched Fractional Order Adaptive Systems: An Error Model Approach. Preprints2024, 2024090949. https://doi.org/10.20944/preprints202409.0949.v1
APA Style
Aguila-Camacho, N., Gallegos, J. A., Chen, Y., & Travieso-Torres, J. C. (2024). Analysis of Error-Based Switched Fractional Order Adaptive Systems: An Error Model Approach. Preprints. https://doi.org/10.20944/preprints202409.0949.v1
Chicago/Turabian Style
Aguila-Camacho, N., YangQuan Chen and Juan C. Travieso-Torres. 2024 "Analysis of Error-Based Switched Fractional Order Adaptive Systems: An Error Model Approach" Preprints. https://doi.org/10.20944/preprints202409.0949.v1
Abstract
This paper presents the analysis of four error models that can appear in the field of adaptive systems, where adaptive laws for parameter estimation are represented as fractional order differential equations whose order can switch between an order within the range (0,1) and 1. These switched adaptive laws have been proposed in the past few years to improve the balance between control energy and system performance, which is often a challenge when using traditional integer-order or fractional-order adaptive laws in adaptive identification and control. Boundedness of the solutions is proved for all cases, together with the convergence to zero of the estimation/tracking error. Additionally, sufficient conditions for parameter convergence are presented, showing that the excitation condition required for parameter convergence in the vector case is also sufficient for parameter estimation in the matrix case.
Keywords
fractional calculus; switched fractional order adaptive systems; switched fractional order error models
Subject
Engineering, Control and Systems Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
