Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control

2012 ◽  
Vol 70 (2) ◽  
pp. 1549-1561 ◽  
Author(s):  
Diyi Chen ◽  
Runfan Zhang ◽  
Julien Clinton Sprott ◽  
Xiaoyi Ma
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Fuzzy Sliding Mode Control ◽  
Integer Order ◽  
Mode Control ◽  
Fuzzy Sliding Mode

scholarly journals Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Xiaona Song ◽  
Shuai Song ◽  
Ines Tejado Balsera ◽  
Leipo Liu ◽  
Lei Zhang
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Finite Time ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Fuzzy Sliding Mode Control ◽  
Mode Control ◽  
Fuzzy Sliding Mode ◽  
Terminal Sliding Surface

The synchronization of two fractional-order complex chaotic systems is discussed in this paper. The parameter uncertainty and external disturbance are included in the system model, and the synchronization of the considered chaotic systems is implemented based on the finite-time concept. First, a novel fractional-order nonsingular terminal sliding surface which is suitable for the considered fractional-order systems is proposed. It is proven that once the state trajectories of the system reach the proposed sliding surface they will converge to the origin within a given finite time. Second, in terms of the established nonsingular terminal sliding surface, combining the fuzzy control and the sliding mode control schemes, a novel robust single fuzzy sliding mode control law is introduced, which can force the closed-loop dynamic error system trajectories to reach the sliding surface over a finite time. Finally, using the fractional Lyapunov stability theorem, the stability of the proposed method is proven. The proposed method is implemented for synchronization of two fractional-order Genesio-Tesi chaotic systems with uncertain parameters and external disturbances to verify the effectiveness of the proposed fractional-order nonsingular terminal fuzzy sliding mode controller.

scholarly journals Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Junhai Luo ◽  
Heng Liu
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Control Method ◽  
Sliding Mode ◽  
Fuzzy Sliding Mode Control ◽  
Integer Order ◽  
Mode Control ◽  
Fuzzy Sliding Mode ◽  
Multivariable Nonlinear Systems

This paper presents a robust adaptive fuzzy sliding mode control method for a class of uncertain nonlinear systems. The fractional order calculus is employed in the parameter updating stage. The underlying stability analysis as well as parameter update law design is carried out by Lyapunov based technique. In the simulation, two examples including a comparison with the traditional integer order counterpart are given to show the effectiveness of the proposed method. The main contribution of this paper consists in the control performance is better for the fractional order updating law than that of traditional integer order.

Synchronization of two different chaotic systems using novel adaptive interval type-2 fuzzy sliding mode control

2011 ◽  
Vol 66 (4) ◽  
pp. 667-680 ◽  
Author(s):  
Mehdi Roopaei ◽  
Mansoor Zolghadri Jahromi ◽  
Bijan Ranjbar-Sahraei ◽  
Tsung-Chih Lin
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Fuzzy Sliding Mode Control ◽  
Mode Control ◽  
Fuzzy Sliding Mode ◽  
Interval Type ◽  
Different Chaotic Systems
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