Nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations

Chaos synchronization is a process that can establish similar responses of two or more chaotic or hyperchaotic systems for different initial conditions using feedback controllers. Past study developed controllers that use larger feedback gains to increase synchronization speed. Even though large fee...

Full description

Saved in:

Bibliographic Details
Main Author:	Haris, Muhammad
Format:	Thesis
Language:	eng eng eng
Published:	2023
Subjects:	T58.5-58.64 Information technology T Technology (General)
Online Access:	https://etd.uum.edu.my/11013/1/Depositpermission-not%20allow_s96248.pdf https://etd.uum.edu.my/11013/2/s96248_01.pdf https://etd.uum.edu.my/11013/3/s96248_02.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-uum-etd.11013
record_format	uketd_dc
spelling	my-uum-etd.110132024-02-29T00:24:05Z Nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations 2023 Haris, Muhammad Ibrahim, Adyda Misiran @ Bakun, Masnita Awang Had Salleh Graduate School of Arts & Sciences Awang Had Salleh Graduates School of Arts & Sciences T58.5-58.64 Information technology T Technology (General) Chaos synchronization is a process that can establish similar responses of two or more chaotic or hyperchaotic systems for different initial conditions using feedback controllers. Past study developed controllers that use larger feedback gains to increase synchronization speed. Even though large feedback gains can reduce errors and convergence time, they cause oscillations in the system state variables when the synchronization errors converge to zero. These oscillations take longer to plateau and give rise to erroneous system behavior, thus slowing the rate of convergence. Most feedback controllers eliminate nonlinear terms in the closed-loop system which jeopardizes robust performance. In this thesis, the main objective is to construct nonlinear controllers that can produce oscillation-free, faster, and robust synchronization of chaotic and hyperchaotic systems of first order differential equations, while retaining the nonlinear terms in the systems. Using Lyapunov stability theory, the controllers are designed to achieve synchronization for systems with known and unknown parameters. A comparison study is conducted to verify the performance of the controllers in reducing convergence time and oscillation. Therefore, three novel controllers embedded with hyperbolic tangent functions are proposed: nonlinear and finite-time synchronization controllers for systems with known parameters, and adaptive synchronization controllers for systems with unknown parameters. The findings showed that the proposed controllers performed better than past controllers in reducing the convergence time and oscillations. Furthermore, the controllers are robust due to their ability to preserve the nonlinear terms in the systems. Hence, the proposed controllers can potentially be used as a basis for secure communication. 2023 Thesis https://etd.uum.edu.my/11013/ https://etd.uum.edu.my/11013/1/Depositpermission-not%20allow_s96248.pdf text eng staffonly https://etd.uum.edu.my/11013/2/s96248_01.pdf text eng 2027-01-18 staffonly https://etd.uum.edu.my/11013/3/s96248_02.pdf text eng staffonly other doctoral Universiti Utara Malaysia
institution	Universiti Utara Malaysia
collection	UUM ETD
language	eng eng eng
advisor	Ibrahim, Adyda Misiran @ Bakun, Masnita
topic	T58.5-58.64 Information technology T Technology (General)
spellingShingle	T58.5-58.64 Information technology T Technology (General) Haris, Muhammad Nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations
description	Chaos synchronization is a process that can establish similar responses of two or more chaotic or hyperchaotic systems for different initial conditions using feedback controllers. Past study developed controllers that use larger feedback gains to increase synchronization speed. Even though large feedback gains can reduce errors and convergence time, they cause oscillations in the system state variables when the synchronization errors converge to zero. These oscillations take longer to plateau and give rise to erroneous system behavior, thus slowing the rate of convergence. Most feedback controllers eliminate nonlinear terms in the closed-loop system which jeopardizes robust performance. In this thesis, the main objective is to construct nonlinear controllers that can produce oscillation-free, faster, and robust synchronization of chaotic and hyperchaotic systems of first order differential equations, while retaining the nonlinear terms in the systems. Using Lyapunov stability theory, the controllers are designed to achieve synchronization for systems with known and unknown parameters. A comparison study is conducted to verify the performance of the controllers in reducing convergence time and oscillation. Therefore, three novel controllers embedded with hyperbolic tangent functions are proposed: nonlinear and finite-time synchronization controllers for systems with known parameters, and adaptive synchronization controllers for systems with unknown parameters. The findings showed that the proposed controllers performed better than past controllers in reducing the convergence time and oscillations. Furthermore, the controllers are robust due to their ability to preserve the nonlinear terms in the systems. Hence, the proposed controllers can potentially be used as a basis for secure communication.
format	Thesis
qualification_name	other
qualification_level	Doctorate
author	Haris, Muhammad
author_facet	Haris, Muhammad
author_sort	Haris, Muhammad
title	Nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations
title_short	Nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations
title_full	Nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations
title_fullStr	Nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations
title_full_unstemmed	Nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations
title_sort	nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations
granting_institution	Universiti Utara Malaysia
granting_department	Awang Had Salleh Graduate School of Arts & Sciences
publishDate	2023
url	https://etd.uum.edu.my/11013/1/Depositpermission-not%20allow_s96248.pdf https://etd.uum.edu.my/11013/2/s96248_01.pdf https://etd.uum.edu.my/11013/3/s96248_02.pdf
_version_	1794023808303104000

Nonlinear control strategies for chaotic and hyperchaotic synchronization of first order systems of ordinary differential equations

Similar Items