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.

CHAOS AND ROBUST ADAPTIVE SYNCHRONIZATION IN A NONLINEAR EMITTER–RECEIVER SYSTEM

2007 ◽  
Vol 17 (09) ◽  
pp. 3259-3274 ◽  
Author(s):  
F. M. MOUKAM KAKMENI ◽  
SAMUEL BOWONG
Keyword(s):  
Adaptive Observer ◽  
Adaptive Synchronization ◽  
Unknown Parameters ◽  
External Disturbances ◽  
Global Synchronization ◽  
Receiver System ◽  
Lipschitz Constants ◽  
Response Systems ◽  
Robust Adaptive ◽  
Synchronization Scheme

This work studies transitions to chaos and adaptive synchronization of a nonlinear emitter–receiver system in a drive–response framework. Safe bifurcations and explosive bifurcations are observed. A robust adaptive observer-based response system is designed to synchronize the emitter–receiver system with unknown parameters and external disturbances. Lyapunov stability ensures global synchronization between the drive and response systems even if Lipschitz constants on functions matrices and bound on uncertainties are unknown. Computer simulations are provided to illustrate the designed adaptive synchronization scheme.

ADAPTIVE OBSERVER-BASED EXACT SYNCHRONIZATION OF MISMATCHED CHAOTIC SYSTEMS

2006 ◽  
Vol 16 (09) ◽  
pp. 2681-2688 ◽  
Author(s):  
SAMUEL BOWONG ◽  
A. TEMGOUA KAGOU ◽  
F. M. MOUKAM KAKMENI
Keyword(s):  
Continuous Time ◽  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
Adaptive Observer ◽  
Adaptive Synchronization ◽  
Parameter Mismatch ◽  
Remarkable Feature ◽  
Linear Coupling ◽  
Efficiency And Effectiveness ◽  
Synchronization Scheme

This paper proposes an adaptive observer-based synchronization of continuous-time chaotic systems. Our method concerns any chaotic system that comprises uncertainties. Using the Lyapunov stability theory, we show that the synchronization of two coupled chaotic systems can be achieved by means of a linear coupling. A remarkable feature of the proposed approach is that it is robust with respect to noise and parameter mismatch. Numerical simulation of the Chua's circuit verifies the efficiency and effectiveness of the proposed adaptive synchronization scheme.

scholarly journals Parameter Identification and Synchronization of Uncertain Chaotic Systems Based on Sliding Mode Observer

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Li-lian Huang ◽  
Lei Lin
Keyword(s):  
Parameter Identification ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Sliding Surface ◽  
Unknown Parameters ◽  
External Disturbances ◽  
Uncertain Chaotic Systems ◽  
Simulation Results

The synchronization of nonlinear uncertain chaotic systems is investigated. We propose a sliding mode state observer scheme which combines the sliding mode control with observer theory and apply it into the uncertain chaotic system with unknown parameters and bounded interference. Based on Lyapunov stability theory, the constraints of synchronization and proof are given. This method not only can realize the synchronization of chaotic systems, but also identify the unknown parameters and obtain the correct parameter estimation. Otherwise, the synchronization of chaotic systems with unknown parameters and bounded external disturbances is robust by the design of the sliding surface. Finally, numerical simulations on Liu chaotic system with unknown parameters and disturbances are carried out. Simulation results show that this synchronization and parameter identification has been totally achieved and the effectiveness is verified very well.

ADAPTIVE ROBUST SYNCHRONIZATION FOR A CLASS OF DIFFERENT UNCERTAIN CHAOTIC SYSTEMS

2008 ◽  
Vol 22 (23) ◽  
pp. 4069-4082 ◽  
Author(s):  
XINGYUAN WANG ◽  
MINGJUN WANG
Keyword(s):  
Chaotic Systems ◽  
Adaptive Controller ◽  
Adaptive Synchronization ◽  
Unknown Parameters ◽  
Robust Controller ◽  
Synchronization Problem ◽  
Robust Synchronization ◽  
Response Systems ◽  
Uncertain Chaotic Systems ◽  
Predicted Values

This paper addresses the adaptive synchronization problem of a class of different uncertain chaotic systems. A general adaptive robust controller and parameters update rule are designed. It is proved theoretically that the controller and update rule can make the drive-response systems with different structures asymptotically synchronized, and change the unknown parameters to constants when noise exists. When the drive system is certain, the unknown parameters of the response system can be updated to the predicted values. The results of numerical simulations show the effectiveness of the adaptive controller.

Adaptive synchronization of two different uncertain chaotic systems with unknown dead-zone input nonlinearities

2020 ◽  
Vol 26 (21-22) ◽  
pp. 1956-1968 ◽  
Author(s):  
Siamak Heidarzadeh ◽  
Sina Shahmoradi ◽  
Mohammad Shahrokhi
Keyword(s):  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Dead Zone ◽  
Projection Algorithm ◽  
Adaptive Synchronization ◽  
Robust Controller ◽  
External Disturbances ◽  
Synchronization Errors ◽  
Uncertain Chaotic Systems ◽  
Structural Uncertainties

The present work addresses chaos synchronization between two different general chaotic systems with parametric and structural uncertainties, subject to external disturbances and input dead-zone nonlinearities. In this regard, a novel robust controller has been designed that guarantees asymptotic stability of synchronization errors and boundedness of all closed-loop signals. One advantage of the proposed controller over the existing control algorithms is using only one update law for estimating the structural uncertainties, external disturbances, and unknown characteristics of the dead-zone nonlinearities, which reduces the computational burden considerably. The designed controller is singularity free, and a smooth projection algorithm has been used to make the controller more robust. In addition, a finite-time controller has been designed and its performance has been compared with the robustly designed controller.

Observer-based synchronization of uncertain chaotic systems subject to input saturation

2017 ◽  
Vol 40 (8) ◽  
pp. 2526-2535 ◽  
Author(s):  
S Mohammadpour ◽  
T Binazadeh
Keyword(s):  
Chaotic Systems ◽  
Actuator Saturation ◽  
Input Saturation ◽  
State Variables ◽  
Adaptive Stabilization ◽  
External Disturbances ◽  
Van Der Pol ◽  
Robust Synchronization ◽  
Effective Performance ◽  
Uncertain Chaotic Systems

This paper considers the synchronization between two chaotic systems (i.e. master and slave systems) in the presence of practical constraints. The considered constraints are: the unavailability of state variables of both master and slave system, the presence of non-symmetric input saturation, model uncertainties and/or external disturbances (matched and/or unmatched). Considering these constraints, an adaptive robust observer-based controller is designed, which guarantees synchronization between the chaotic systems. For this purpose, a theorem is given and, according to a Lyapunov adaptive stabilization approach, it is proved that the robust synchronization via the proposed observer-based controller is guaranteed in the presence of actuator saturation and it is shown that even if the control signal is saturated, the proposed controller leads to a robust synchronization objective. Finally, in order to show the applicability of the proposed controller, it is applied on the Van der Pol chaotic systems. Computer simulations verify the theoretical results and show the effective performance of the proposed controller.

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