Sliding mode control design for generalized projective synchronization of unified chaotic systems containing nonlinear inputs

2010 ◽  
Vol 18 (6) ◽  
pp. 808-816 ◽  
Author(s):  
Yi-Sung Yang ◽  
Teh-Lu Liao ◽  
Jun-Juh Yan
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Control Design ◽  
Projective Synchronization ◽  
Mode Control ◽  
Unified Chaotic Systems ◽  
Generalized Projective Synchronization

Robust Synchronization of Fractional-Order Arneodo Chaotic Systems Using a Fractional Sliding Mode Control Strategy

2018 ◽  
pp. 1-22
Author(s):  
Samir Ladaci ◽  
Karima Rabah ◽  
Mohamed Lashab
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Chaotic Behavior ◽  
Control Design ◽  
Lyapunov Stability Theory ◽  
Mode Control ◽  
Control Configuration ◽  
The Stability

This chapter investigates a new control design methodology for the synchronization of fractional-order Arneodo chaotic systems using a fractional-order sliding mode control configuration. This class of nonlinear fractional-order systems shows a chaotic behavior for a set of model parameters. The stability analysis of the proposed fractional-order sliding mode control law is performed by means of the Lyapunov stability theory. Simulation examples on fractional-order Arneodo chaotic systems synchronization are provided in presence of disturbances and noises. These results illustrate the effectiveness and robustness of this control design approach.

Sliding mode control for uncertain unified chaotic systems with input nonlinearity

2007 ◽  
Vol 34 (2) ◽  
pp. 437-442 ◽  
Author(s):  
Tsung-Ying Chiang ◽  
Meei-Ling Hung ◽  
Jun-Juh Yan ◽  
Yi-Sung Yang ◽  
Jen-Fuh Chang
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Input Nonlinearity ◽  
Mode Control ◽  
Unified Chaotic Systems

scholarly journals Combination-Combination Projective Synchronization of Multiple Chaotic Systems Using Sliding Mode Control

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Junwei Sun ◽  
Nan Li ◽  
Jie Fang
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Control Technique ◽  
Mode Control ◽  
Adaptive Laws ◽  
Different Chaotic Systems ◽  
Synchronization Scheme ◽  
Multiple Chaotic Systems

Based on projective synchronization and combination synchronization model, a type of combination-combination projective synchronization is realized via nonsingular sliding mode control technique for multiple different chaotic systems. Concretely, on the basic of the adaptive laws and stability theory, the corresponding sliding mode control surfaces and controllers are designed to achieve the combination-combination projective synchronization between the combination of two chaotic systems as drive system and the combination of multiple chaotic systems as response system with disturbances. Some criteria and corollaries are derived for combination-combination projective synchronization of the multiple different chaotic systems. Finally, the numerical simulation results are presented to demonstrate the effectiveness and correctness of the synchronization scheme.

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