NDLI: A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems

Content Provider	Springer Nature Link
Author	Aghababa, Mohammad Pourmahmood
Copyright Year	2014
Abstract	This paper concerns the problem of robust stabilization of autonomous and non-autonomous fractional-order chaotic systems with uncertain parameters and external noises. We propose a simple efficient fractional integral-type sliding surface with some desired stability properties. We use the fractional version of the Lyapunov theory to derive a robust sliding mode control law. The obtained control law is single input and guarantees the occurrence of the sliding motion in a given finite time. Furthermore, the proposed nonlinear control strategy is able to deal with a large class of uncertain autonomous and non-autonomous fractional-order complex systems. Also, Rigorous mathematical and analytical analyses are provided to prove the correctness and robustness of the introduced approach. At last, two illustrative examples are given to show the applicability and usefulness of the proposed fractional-order variable structure controller.
Starting Page	2129
Ending Page	2140
Page Count	12
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	78
Issue Number	3
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2014-07-24
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Fractional Lyapunov stability theorem Variable structure control System uncertainty Single input 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

Global exponential stabilization for chaotic brushless DC motors with a single input

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

Robust adaptive synchronization of uncertain unified chaotic systems

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

Using fractional-order integrator to control chaos in single-input chaotic systems

Stabilization of fractional-order chaotic system via a single state adaptive-feedback controller

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

No-chatter variable structure control for fractional nonlinear complex systems

Synchronization of fractional chaotic complex networks with distributed delays

A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems

Similar Documents

Global exponential stabilization for chaotic brushless DC motors with a single input

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

Robust adaptive synchronization of uncertain unified chaotic systems

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

Using fractional-order integrator to control chaos in single-input chaotic systems

Stabilization of fractional-order chaotic system via a single state adaptive-feedback controller

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

No-chatter variable structure control for fractional nonlinear complex systems

Synchronization of fractional chaotic complex networks with distributed delays

A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems