Numerical Simulation of Fractional Control System Using Chebyshev Polynomials-Reference-Cited by-同舟云学术

Numerical Simulation of Fractional Control System Using Chebyshev Polynomials

Published:2018-12-13 Issue: Volume:2018 Page:1-5
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Zhang Jun¹²³^ORCID,Li Yugui²⁴^ORCID,Xie Jiaquan⁵

Affiliation:

1. School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China

2. Collaborative Innovation Center of Taiyuan Heavy Machinery Equipment, Taiyuan 030024, China

3. Taiyuan Institute of China Coal Technology Engineering Group, Taiyuan 03006, China

4. School of Material Science and Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China

5. College of Mechanical Engineering, Taiyuan University of Technology, Taiyuan 030024, China

Abstract

In the current study, a numerical scheme based on Chebyshev polynomials is proposed to solve the problem of fractional control system. The operational matrix of fractional derivative is derived and that is used to transform the original problem into a system of linear equations. Lastly, several numerical examples are presented to verify the effectiveness and feasibility of the given method.

Funder

Research on automatic loading technology of mechanical anchorage agent

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2018/4270764.pdf

Reference27 articles.

1. A new collection of real world applications of fractional calculus in science and engineering

2. Fractional derivatives and their applications in reservoir engineering problems: A review

3. Fractional discrete-time diffusion equation with uncertainty: Applications of fuzzy discrete fractional calculus