A Robust Algorithm for Nonlinear Variable-Order Fractional Control Systems with Delay-Reference-Cited by-同舟云学术

A Robust Algorithm for Nonlinear Variable-Order Fractional Control Systems with Delay

Published:2018-06-26 Issue:3-4 Volume:19 Page:231-238
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:
Short-container-title:

Author:

António Tenreiro Machado José¹,Parsa Moghaddam Behrouz²

Affiliation:

1. Department of Electrical Engineering, Institute of Engineering, Rua Dr. António Bernardino de Almeida, 431, Porto4249-015, Portugal

2. Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran

Abstract

AbstractIn this paper, we propose a high-accuracy linear B-spline finite-difference approximation for variable-order (VO) derivative. We consider VO fractional differentiation as a control parameter for improving the stability in systems exhibiting vibrations. The method is applied to nonlinear feedback with VO fractional derivative. The results demonstrate the efficiency and high accuracy of the novel algorithm.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2016-0094/pdf

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