The Synchronization of a Class Fractional-Order Chaotic System by Using the Recovered State Variables and Backstepping Control-Reference-Cited by-同舟云学术

The Synchronization of a Class Fractional-Order Chaotic System by Using the Recovered State Variables and Backstepping Control

Published:2023-05-31 Issue:9 Volume:18 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Su Haipeng¹,Luo Runzi²

Affiliation:

1. School of Computer and Information Engineering, Jiangxi Agricultural University , Nanchang 330045, China

2. Department of Mathematics, Nanchang University , Nanchang 330031, China

Abstract

Abstract This paper investigates the synchronization problem of a class of fractional-order chaotic systems with output variables. Based on the measured output variables, the estimations of state variables are obtained by designing proper state observers. By using the recovered state variables and backstepping control, some new controllers are devised and some sufficient conditions for obtaining chaos synchronization are derived. Numerical simulation is used to verify the practicability and effectiveness of the proposed scheme.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

https://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/18/9/091003/7016450/cnd_018_09_091003.pdf

Reference33 articles.

1. Existence of Solutions for Some Functional Integrodifferential Equations With Nonlocal Conditions;Math. Methods Appl. Sci.,2020

2. Optimal Parameter Design of Fractional Order Control Based INC-MPPT for PV System;Sol. Energy,2018

3. Some Effective Numerical Techniques for Chaotic Systems Involving Fractal-Fractional Derivatives With Different Laws;Front. Phys.,2020