NDLI: Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems

Content Provider	Springer Nature Link
Author	Soukkou, Ammar Boukabou, Abdelkrim Leulmi, Salah
Copyright Year	2016
Abstract	In this paper, a fractional-order prediction-based feedback control scheme (Fo-PbFC) is proposed to stabilize the unstable equilibrium points and to synchronize the fractional-order chaotic systems (FoCS). The design of Fo-PbFC, derived and based on Lyapunov stabilization arguments and matrix measure, is theoretically rigorous and represents a powerful and simple approach to provide a reasonable trade-off between computational overhead, storage space, numerical accuracy and stability analysis in control and synchronization of a class of FoCS. Numerical simulations are also provided to verify the validity and the feasibility of the proposed scheme by considering the fractional-order Newton–Leipnik chaotic and the fractional-order Mathieu–Van Der Pol hyperchaotic systems as illustrative examples.
Starting Page	2183
Ending Page	2206
Page Count	24
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	85
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-05-13
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Fractional-order prediction-based controller Lyapunov stability Matrix measure Unstable equilibrium points Synchronization Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Stabilization of the unstable equilibrium points of the fractional-order BLDCM chaotic system in the sense of Lyapunov by a single-state variable

Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems

Synchronization of two different fractional-order chaotic systems with unknown parameters using a robust adaptive nonlinear controller

Multi Drive-One Response Synchronization for Fractional-Order Chaotic Systems

Response to the comments on “Adaptive synchronization of fractional-order chaotic systems via a single driving variable”

Fractional generalized synchronization in a class of nonlinear fractional order systems

Generalization of combination–combination synchronization of chaotic n-dimensional fractional-order dynamical systems

Synchronization of nonidentical chaotic fractional-order systems with different orders of fractional derivatives

Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control

Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems

Similar Documents

Stabilization of the unstable equilibrium points of the fractional-order BLDCM chaotic system in the sense of Lyapunov by a single-state variable

Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems

Synchronization of two different fractional-order chaotic systems with unknown parameters using a robust adaptive nonlinear controller

Multi Drive-One Response Synchronization for Fractional-Order Chaotic Systems

Response to the comments on “Adaptive synchronization of fractional-order chaotic systems via a single driving variable”

Fractional generalized synchronization in a class of nonlinear fractional order systems

Generalization of combination–combination synchronization of chaotic n-dimensional fractional-order dynamical systems

Synchronization of nonidentical chaotic fractional-order systems with different orders of fractional derivatives

Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control

Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems