scholarly journals Design of an adaptive sliding mode controller for synchronization of fractional-order chaotic systems

2015 ◽  
Vol 64 (4) ◽  
pp. 040505
Author(s):  
Pan Guang ◽  
Wei Jing
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Adaptive Sliding Mode ◽  
Adaptive Sliding Mode Controller

Synchronization of Liu Chaotic System with Fractional-Order

2013 ◽  
Vol 336-338 ◽  
pp. 467-470
Author(s):  
Su Hai Huang
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Stability Theory ◽  
Unknown Parameter ◽  
Chaos Synchronization ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Sliding Mode Controller ◽  
Adaptive Sliding Mode ◽  
Adaptive Sliding Mode Controller

This paper deals with chaos synchronization of the Liu chaotic system with fractional-order. Based on the fractional-order stability theory, an adaptive sliding mode controller has been constructed to realize projective synchronization of fractional-order Liu chaotic system with unknown parameter. An illustrative simulation result is given to demonstrate the effectiveness of the proposed sliding mode controller.

scholarly journals Adaptive Synchronization for Two Different Stochastic Chaotic Systems with Unknown Parameters via a Sliding Mode Controller

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Zengyun Wang ◽  
Lihong Huang ◽  
Xuxin Yang ◽  
Dingyang Lu
Keyword(s):  
Chaotic Systems ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Adaptive Synchronization ◽  
Sliding Mode Controller ◽  
Unknown Parameters ◽  
Adaptive Sliding Mode ◽  
Adaptive Sliding Mode Controller ◽  
Main Work ◽  
Robust Adaptive

This paper investigates the problem of synchronization for two different stochastic chaotic systems with unknown parameters and uncertain terms. The main work of this paper consists of the following aspects. Firstly, based on the Lyapunov theory in stochastic differential equations and the theory of sliding mode control, we propose a simple sliding surface and discuss the occurrence of the sliding motion. Secondly, we design an adaptive sliding mode controller to realize the asymptotical synchronization in mean squares. Thirdly, we design an adaptive sliding mode controller to realize the almost surely synchronization. Finally, the designed adaptive sliding mode controllers are used to achieve synchronization between two pairs of different stochastic chaos systems (Lorenz-Chen and Chen-Lu) in the presence of the uncertainties and unknown parameters. Numerical simulations are given to demonstrate the robustness and efficiency of the proposed robust adaptive sliding mode controller.

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