Caputo’s fractional discrete-time stability connection for stabilizing controllers-Reference-Cited by-同舟云学术

Caputo’s fractional discrete-time stability connection for stabilizing controllers

Published:2023-08-09 Issue:3 Volume:40 Page:578-592
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Hernández-Galván Blanca L¹,Pulido-Luna Jesus R¹,Cazarez-Castro Nohe R¹,Fernández-Anaya Guillermo²,López-Rentería Jorge A³

Affiliation:

1. Departamento de Ingeniería Eléctrica y Electrónica, Tecnológico Nacional de México / Instituto Tecnológico de Tijuana , Blvrd. Inductrial S/N, CP 22454 Tijuana, B.C. , México

2. Departamento de Física y Matemáticas, Universidad Iberoamericana-CDMX , Prol. Paseo de la Reforma No 880, CP 01219 CDMX , México

3. CONAHCYT - Tecnológico Nacional de México, Instituto Tecnológico de Tijuana , Blvrd. Inductrial S/N, CP 22454 Tijuana, B.C. , México

Abstract

AbstractThis work aims to give a method to connect a set of polynomials having all of their zeros inside the stability zone for fractional difference systems with Caputo’s fractional discrete operator. Due to the complexity of the stability zone, it is necessary to use a set that describes explicitly the stability zone for fractional-order difference systems, in order to build a polynomial family with zeros belonging to the described zone. Such a construction of the polynomial family will be based on the connection of their zeros. Moreover, the applicability is shown with the design of a robust stabilizing controller, which is illustrated by stabilizing the fractional discrete Duffing oscillator.

Funder

Consejo Nacional de Humanidades, Ciencias y Tecnología de México

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

https://academic.oup.com/imamci/article-pdf/40/3/578/51714274/dnad021.pdf

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