scholarly journals Adaptive Control and Synchronization of Sprott J System With Estimation Of Fully Unknown Parameters

2015 ◽  
Vol 45 (2) ◽  
pp. 45-58 ◽  
Author(s):  
Mitul Islam ◽  
Nurul Islam ◽  
Svetoslav Nikolov
Keyword(s):  
Dynamical System ◽  
Adaptive Control ◽  
Lyapunov Function ◽  
Numerical Simulations ◽  
Unknown Parameters ◽  
Adaptive Scheme ◽  
System A ◽  
Control And Synchronization ◽  
Synchronization Scheme ◽  
Derivatives Of

Abstract This communication develops an adaptive scheme for control and synchronization of Sprott J system with fully unknown parameters. The scheme provides an elegant strategy of designing estimators for identification of the unknown parameters of the underlying dynamical system. Adaptive control and update laws are proposed to globally stabilize the chaotic Sprott J system. A pair of identical Sprott J systems with un- known parameters are globally synchronized with the help of adaptive control and parameter update laws. The results are established using LaSalle invariance principle, which lays down weaker restrictions on the derivatives of the Lyapunov function, and producing more general results. All the results obtained in the paper are global in nature. Numerical simulations are performed to illustrate the validity and effectiveness of the proposed adaptive control and synchronization scheme in the context of the Sprott J system. The parameter identification capability of the scheme is also explored.

A SIMPLE SYNCHRONIZATION SCHEME OF COULLET SYSTEMS WITH UNKNOWN PARAMETERS

2014 ◽  
Vol 28 (06) ◽  
pp. 1450021
Author(s):  
ZUO-LEI WANG ◽  
XUE-RONG SHI ◽  
YAOLIN JIANG
Keyword(s):  
Adaptive Control ◽  
Numerical Simulations ◽  
Sufficient Conditions ◽  
Unknown Parameters ◽  
Control Scheme ◽  
Single Controller ◽  
Synchronization Scheme ◽  
Adaptive Control Scheme

Synchronization of Coullet systems is investigated via back stepping method when parameters are unknown. A novel adaptive control scheme is presented, which contains a single controller. To achieve the synchronization of Coullet systems, sufficient conditions are derived and the unknown parameters are estimated. Finally, some numerical simulations are employed to verify the effectiveness of the proposed scheme.

scholarly journals Adaptive Feedback Control for Chaos Control and Synchronization for New Chaotic Dynamical System

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
M. M. El-Dessoky ◽  
M. T. Yassen
Keyword(s):  
Dynamical System ◽  
Adaptive Control ◽  
Feedback Control ◽  
Chaos Control ◽  
Control Technique ◽  
Unknown Parameters ◽  
Chaotic Dynamical System ◽  
Adaptive Feedback ◽  
Adaptive Feedback Control ◽  
Control And Synchronization

This paper investigates the problem of chaos control and synchronization for new chaotic dynamical system and proposes a simple adaptive feedback control method for chaos control and synchronization under a reasonable assumption. In comparison with previous methods, the present control technique is simple both in the form of the controller and its application. Based on Lyapunov's stability theory, adaptive control law is derived such that the trajectory of the new system with unknown parameters is globally stabilized to the origin. In addition, an adaptive control approach is proposed to make the states of two identical systems with unknown parameters asymptotically synchronized. Numerical simulations are shown to verify the analytical results.

H_Infinity Anti-Synchronization of Chaotic Systems with Unknown Parameters

2013 ◽  
Vol 336-338 ◽  
pp. 528-531 ◽  
Author(s):  
Li Ming Du ◽  
Feng Ying Wang ◽  
Hui Zhang
Keyword(s):  
Adaptive Control ◽  
Feedback Control ◽  
Numerical Simulations ◽  
Chaotic Systems ◽  
External Disturbance ◽  
Unknown Parameters ◽  
Adaptive Feedback ◽  
Lyapunov Control ◽  
Norm Constraint ◽  
General Method

In this paper, a general method is proposed for the anti-synchronization of chaotic systems with unknown parameters. This approach is based on the Lyapunov control theory, and employs a combination of feedback control and adaptive control. With this method, the unknown parameters is estimated and the adaptive feedback controller is designed to not only guarantee stable anti-synchronization but also reduce the effect of external disturbance to an norm constraint. Numerical simulations results are presented to demonstrate the effectiveness of the method.

Potential Intensification Rate of Tropical Cyclones in a Simplified Energetically Based Dynamical System Model: An Observational Analysis

2022 ◽  
Keyword(s):  
Dynamical System ◽  
Numerical Simulations ◽  
Relative Intensity ◽  
Intensity Change ◽  
Future Directions ◽  
Intensity Dependence ◽  
The North ◽  
System A ◽  
Detailed Evaluation ◽  
Basic Features

Abstract In a recent study by Wang et al. (2021a) that introduced a dynamical efficiency to the intensification potential of a tropical cyclone (TC) system, a simplified energetically based dynamical system (EBDS) model was shown to be able to capture the intensity-dependence of TC potential intensification rate (PIR) in both idealized numerical simulations and observations. Although the EBDS model can capture the intensity-dependence of TC intensification as in observations, a detailed evaluation has not yet been done. This study provides an evaluation of the EBDS model in reproducing the intensity-dependent feature of the observed TC PIR based on the best-track data for TCs over the North Atlantic, central, eastern and western North Pacific during 1982–2019. Results show that the theoretical PIR estimated by the EBDS model can capture basic features of the observed PIR reasonably well. The TC PIR in the best-track data increases with increasing relative TC intensity (intensity normalized by its corresponding maximum potential intensity–MPI) and reaches a maximum at an intermediate relative intensity around 0.6, and then decreases with increasing relative intensity to zero as the TC approaches its MPI, as in idealized numerical simulations. Results also show that the PIR for a given relative intensity increases with the increasing MPI and thus increasing sea surface temperature, which is also consistent with the theoretical PIR implied by the EBDS model. In addition, future directions to include environmental effects and make the EBDS model applicable to predict intensity change of real TCs are also discussed.

Adaptive Control and Synchronization of Uncertain Complex Networks

2015 ◽  
Vol 734 ◽  
pp. 321-326
Author(s):  
Qian Qian Jia
Keyword(s):  
Dynamical System ◽  
System Theory ◽  
Neural Networks ◽  
Adaptive Control ◽  
Complex Networks ◽  
Linear Feedback ◽  
Dynamical System Theory ◽  
Control Techniques ◽  
Control And Synchronization ◽  
Invariant Principle

Recently, synchronization of complex networks has been a focus subject of technology fields. In this paper, we consider the adaptive control and synchronization of uncertain complex networks. By using the adaptive control techniques with the linear feedback updated law and the well-known invariant principle on dynamical system theory, some simple yet generic criteria are derived. Furthermore, the result is applied to typical chaotic cellular neural networks (CNN). Finally, numerical simulations are presented to demonstrate the feasibility and effectiveness of the proposed techniques.

A Modification of Adaptive Control and Synchronization of a New Hyper-Chaotic System with Unknown Parameters

2012 ◽  
Vol 155-156 ◽  
pp. 1189-1192
Author(s):  
Yu Liang Cheng ◽  
Jun Wei Lei ◽  
Wen Guang Zhang
Keyword(s):  
Numerical Simulation ◽  
Parameter Estimation ◽  
Adaptive Control ◽  
Chaotic System ◽  
Unknown Parameters ◽  
Control And Synchronization

A modification to the parameter estimation update law in [Q. Jia, Adaptive control and synchronization of a new hyper chaotic system with unknown parameters, Phys. Lett. A 362 (2007) 424] is proposed. So the unknown parameters are avoided to be used to construct a controller and also numerical simulation is done at the end of this paper and good performance is achieved to testified the rightness and effectiveness of the proposed method.

scholarly journals Hybrid projective combination–combination synchronization in non-identical hyperchaotic systems using adaptive control

2020 ◽  
Vol 9 (3) ◽  
pp. 597-611
Author(s):  
Ayub Khan ◽  
Harindri Chaudhary
Keyword(s):  
Adaptive Control ◽  
Secure Communication ◽  
Chaos Control ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Combination Synchronization ◽  
Synchronization Scheme ◽  
Hyperchaotic Systems

Abstract In this paper, we investigate a hybrid projective combination–combination synchronization scheme among four non-identical hyperchaotic systems via adaptive control method. Based on Lyapunov stability theory, the considered approach identifies the unknown parameters and determines the asymptotic stability globally. It is observed that various synchronization techniques, for instance, chaos control problem, combination synchronization, projective synchronization, etc. turn into particular cases of combination–combination synchronization. The proposed scheme is applicable to secure communication and information processing. Finally, numerical simulations are performed to demonstrate the effectivity and correctness of the considered technique by using MATLAB.

Sign in / Sign up

Export Citation Format

Share Document