Practical synchronization of nonautonomous chaotic systems with parameter mismatch via event-triggered control

2022 ◽  
Author(s):  
Wenlan Qiu ◽  
Jianping Cai
Keyword(s):  
Chaotic Systems ◽  
Parameter Mismatch ◽  
Event Triggered

ADAPTIVE OBSERVER BASED SYNCHRONIZATION OF A CLASS OF UNCERTAIN CHAOTIC SYSTEMS

2008 ◽  
Vol 18 (08) ◽  
pp. 2425-2435 ◽  
Author(s):  
SAMUEL BOWONG ◽  
RENÉ YAMAPI
Keyword(s):  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
Adaptive Observer ◽  
Adaptive Synchronization ◽  
External Disturbances ◽  
Parameter Mismatch ◽  
Lipschitz Constants ◽  
Response Systems ◽  
Uncertain Chaotic Systems ◽  
Robust Adaptive

This study addresses the adaptive synchronization of a class of uncertain chaotic systems in the drive-response framework. For a class of uncertain chaotic systems with parameter mismatch and external disturbances, a robust adaptive observer based on the response system is constructed to practically synchronize the uncertain drive chaotic system. Lyapunov stability theory ensures the practical synchronization between the drive and response systems even if Lipschitz constants on function matrices and bounds on uncertainties are unknown. Numerical simulation of two illustrative examples are given to verify the effectiveness of the proposed method.

Anticipating Synchronization of Chaotic Systems with Parameter Mismatch

2008 ◽  
Author(s):  
Qi Han ◽  
Chuandong Li ◽  
Junjian Huang ◽  
Xiaofeng Liao ◽  
Tingwen Huang
Keyword(s):  
Chaotic Systems ◽  
Parameter Mismatch

scholarly journals SYNCHRONIZATION OF A CLASS OF MASTER–SLAVE NONAUTONOMOUS CHAOTIC SYSTEMS WITH PARAMETER MISMATCH VIA SINUSOIDAL FEEDBACK CONTROL

2011 ◽  
Vol 25 (16) ◽  
pp. 2195-2215 ◽  
Author(s):  
JIANPING CAI ◽  
MIHUA MA ◽  
XIAOFENG WU
Keyword(s):  
Feedback Control ◽  
Error Bound ◽  
Error Bounds ◽  
Chaotic Systems ◽  
Direct Method ◽  
Harmonic Excitation ◽  
Synchronization Error ◽  
Error Feedback ◽  
Parameter Mismatch ◽  
State Error

In this paper, we investigate a master–slave synchronization scheme of two n-dimensional nonautonomous chaotic systems coupled by sinusoidal state error feedback control, where parameter mismatch exists between the external harmonic excitation of master system and that of slave one. A concept of synchronization with error bound is introduced due to parameter mismatch, and then the bounds of synchronization error are estimated analytically. Some synchronization criteria are firstly obtained in the form of matrix inequalities by the Lyapunov direct method, and then simplified into some algebraic inequalities by the Gerschgorin disc theorem. The relationship between the estimated synchronization error bound and system parameters reveals that the synchronization error can be controlled as small as possible by increasing the coupling strength or decreasing the magnitude of mismatch. A three-dimensional gyrostat system is chosen as an example to verify the effectiveness of these criteria, and the estimated synchronization error bounds are compared with the numerical error bounds. Both the theoretical and numerical results show that the present sinusoidal state error feedback control is effective for the synchronization. Numerical examples verify that the present control is robust against amplitude or phase mismatch.

A Novel Event-Triggered Active Model Predictive Control for Synchronization of Discrete-Time Chaotic Systems

2020 ◽  
Vol 15 (10) ◽  
Author(s):  
Namita Boruah ◽  
Binoy Krishna Roy
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Discrete Time ◽  
Chaotic Systems ◽  
Performance Bound ◽  
Trade Off ◽  
Prediction Horizon ◽  
Active Model ◽  
Synchronization Performance ◽  
Event Triggered

Abstract In this paper, synchronization of two identical discrete-time chaotic systems is considered in networked control environment where communication plays a significant role along with the synchronization performance. A new event-triggered (ET) active model predictive control (MPC) technique is proposed in the presence of constraints. With the help of active control, a linear MPC is sufficient to control a chaotic system. The active controller is not present all the time, rather only activated when a triggering condition is fulfilled. The MPC also solves the optimization problem only when an event is triggered. A triggering condition is designed to ensure a required performance bound. This technique reduces the computational burden as well as the frequency of communication between sensors and controller and controller and actuator. The effectiveness of the proposed scheme is illustrated by two simulation examples. A trade-off analysis between network traffic and synchronization performance, and its dependence on the prediction horizon is done for the considered system. It reveals that an optimum trade-off can be achieved according to the desired requirement.

SYNCHRONIZING CHAOS BY IMPULSIVE FEEDBACK METHOD

2001 ◽  
Vol 11 (08) ◽  
pp. 2233-2243 ◽  
Author(s):  
Y. ZHANG ◽  
G. H. DU ◽  
J. J. JIANG
Keyword(s):  
Frequency Spectrum ◽  
Potential Application ◽  
Chaotic Systems ◽  
Circuit Implementation ◽  
Chaotic Communication ◽  
Parameter Mismatch ◽  
Practical Experiment ◽  
Chaotic Solution ◽  
Robustness To Noise ◽  
Feedback Method

In this letter, the impulsive feedback synchronization method is suggested. Synchronization condition is given by investigating the mechanism of the impulsive feedback synchronization. Furthermore, we consider the influences of noise and parameter mismatch since they inevitably exist in the practical experiment. Finally, a visual circuit implementation of impulsive feedback synchronization is performed. The research demonstrates that impulsive operator can spread frequency spectrum of chaotic solution. Impulsive feedback can synchronize chaotic systems and has the robustness to noise and parameter mismatch. It shows the potential application in chaotic communication.

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