The Control and Synchronization of a Class of Chaotic Systems With Output Variable and External Disturbance

2016 ◽  
Vol 11 (5) ◽  
Author(s):  
Runzi Luo ◽  
Yanhui Zeng
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
External Disturbance ◽  
Output Variable ◽  
Output State ◽  
State Variable ◽  
Unified Chaotic System ◽  
Control And Synchronization

This paper investigates the control and synchronization of a class of chaotic systems with external disturbance. The chaotic systems are assumed that only the output state variable is available. By using the output state variable, two types synchronization schemes, i.e., the chaos-based synchronization and the observer-based synchronization schemes, are discussed. Some novel criteria for the control and synchronization of a class of chaotic systems with external disturbance are proposed. The unified chaotic system is taken as an example to demonstrate the efficiency of the proposed approach.

Single state feedback stabilization of unified chaotic systems and circuit implementation

Open Physics ◽  
2014 ◽  
Vol 13 (1) ◽  
Author(s):  
Chun-Guo Jing ◽  
Ping He ◽  
Tao Fan ◽  
Yangmin Li ◽  
Changzhong Chen ◽  
...  
Keyword(s):  
Chaotic System ◽  
State Feedback ◽  
Chaotic Systems ◽  
Feedback Stabilization ◽  
State Feedback Control ◽  
Uncertain Parameter ◽  
Circuit Implementation ◽  
Unified Chaotic System ◽  
Unified Chaotic Systems ◽  
Single State

AbstractThis paper focuses on the single state feedback stabilization problem of unified chaotic system and circuit implementation. Some stabilization conditions will be derived via the single state feedback control scheme. The robust performance of controlled unified chaotic systems with uncertain parameter will be investigated based on maximum and minimum analysis of uncertain parameter, the robust controller which only requires information of a state of the system is proposed and the controller is linear. Both the unified chaotic system and the designed controller are synthesized and implemented by an analog electronic circuit which is simpler because only three variable resistors are required to be adjusted. The numerical simulation and control in MATLAB/Simulink is then provided to show the effectiveness and feasibility of the proposed method which is robust against some uncertainties. The results presented in this paper improve and generalize the corresponding results of recent works.

Impulsive control and synchronization of unified chaotic system

2004 ◽  
Vol 20 (4) ◽  
pp. 751-758 ◽  
Author(s):  
Shihua Chen ◽  
Qing Yang ◽  
Changping Wang
Keyword(s):  
Chaotic System ◽  
Impulsive Control ◽  
Unified Chaotic System ◽  
Control And Synchronization

scholarly journals Coexistence of synchronization and anti-synchronization in chaotic systems

2016 ◽  
Vol 26 (1) ◽  
pp. 69-79 ◽  
Author(s):  
Ling Ren ◽  
Rongwei Guo ◽  
Uchechukwu E. Vincent
Keyword(s):  
Numerical Simulations ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Control Strategies ◽  
System Control ◽  
Slave System ◽  
Unified Chaotic System ◽  
Master System ◽  
Novel Algorithm

The coexistence of anti-synchronization and synchronization in chaotic systems is investigated. A novel algorithm is proposed to determine the variables of the master system that should anti-synchronize with corresponding variables of the slave system. Control strategies that guarantee the coexistence of synchronization and anti-synchronization in the unified chaotic system are presented; while numerical simulations are employed to validate and illustrate the effectiveness of the proposed method.

ADAPTIVE ℋ∞ SYNCHRONIZATION OF UNIFIED CHAOTIC SYSTEMS

2009 ◽  
Vol 23 (09) ◽  
pp. 1157-1169 ◽  
Author(s):  
JU H. PARK ◽  
D. H. JI ◽  
S. C. WON ◽  
S. M. LEE
Keyword(s):  
Chaotic Systems ◽  
External Disturbance ◽  
Lyapunov Theory ◽  
Linear Matrix ◽  
The Novel ◽  
Matrix Inequality ◽  
Unified Chaotic System ◽  
Unified Chaotic Systems ◽  
Adaptive Law ◽  
Norm Constraint

In this paper, the problem of adaptive ℋ∞ synchronization for unified chaotic systems with unknown parameter and external disturbance is studied. It is noticed that this unified chaotic system contains the noted Lorentz, Lü and Chen systems. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the novel feedback controller with adaptive law is established to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance to an ℋ∞ norm constraint. A criterion for existence of the controller is given in terms of LMIs. Finally, a numerical example shows the effectiveness of the proposed method.

scholarly journals Chaos Control and Synchronization via Switched Output Control Strategy

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Runzi Luo ◽  
Haipeng Su ◽  
Yanhui Zeng
Keyword(s):  
Chaotic System ◽  
Control Strategy ◽  
Chaos Control ◽  
Chaotic Systems ◽  
State Variables ◽  
Output Control ◽  
Lorenz Chaotic System ◽  
Control And Synchronization ◽  
Theoretical Results

This paper investigates the control and synchronization of a class of chaotic systems with switched output which is assumed to be switched between the first and the second state variables of chaotic system. Some novel and yet simple criteria for the control and synchronization of a class of chaotic systems are proposed via the switched output. The generalized Lorenz chaotic system is taken as an example to show the feasibility and efficiency of theoretical results.

The Control and Synchronization of a Rotational Relativistic Chaotic System With Parameter Uncertainties and External Disturbance

2015 ◽  
Vol 10 (6) ◽  
Author(s):  
Runzi Luo ◽  
Yanhui Zeng
Keyword(s):  
Numerical Simulations ◽  
Chaotic System ◽  
Coordinate Transformation ◽  
External Disturbance ◽  
Parameter Uncertainties ◽  
Single Input ◽  
Control And Synchronization

This paper investigates the control and synchronization of a rotational relativistic chaotic system with parameter uncertainties and external disturbance. By using the proper coordinate transformation, some novel criteria for control or synchronization are proposed via a single input. Numerical simulations are given to show the robustness and efficiency of the proposed approach.

scholarly journals Transformation of the generalized chaotic system into canonical form

2017 ◽  
Vol 3 (3) ◽  
pp. 117
Author(s):  
Roman Voliansky
Keyword(s):  
Canonical Form ◽  
Chaotic System ◽  
Discrete Model ◽  
Control Algorithm ◽  
Chaotic Systems ◽  
Numerical Algorithms ◽  
Chaotic Attractors ◽  
Output Variable ◽  
State Spaces ◽  
Sample Time

The paper deals with the developing of the numerical algorithms for transformation of generalized chaotic system into canonical form. Such transformation allows us to simplify control algorithm for chaotic system. These algorithms are defined by using Lie derivatives for output variable and solution of nonlinear equations. Usage of proposed algorithm is one of the ways for discovering of new chaotic attractors. These attractors can be obtained by transformation of known chaotic systems into various state spaces. Transformed attractors depend on both parameters of chaotic system and sample time of its discrete model.

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