Synchronization of chaotic systems with known and unknown parameters using a modified active sliding mode control

2011 ◽  
Vol 50 (2) ◽  
pp. 262-267 ◽  
Author(s):  
Meisam Yahyazadeh ◽  
Abolfazl Ranjbar Noei ◽  
Reza Ghaderi
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Unknown Parameters ◽  
Mode Control ◽  
Active Sliding Mode Control

scholarly journals Active Sliding Mode Control Antisynchronization of Chaotic Systems with Uncertainties and External Disturbances

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Wafaa Jawaada ◽  
M. S. M. Noorani ◽  
M. Mossa Al-sawalha
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Sliding Mode ◽  
Initial Conditions ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
External Disturbances ◽  
Mode Control ◽  
Active Sliding Mode Control

The antisynchronization behavior of chaotic systems with parametric uncertainties and external disturbances is explored by using robust active sliding mode control method. The sufficient conditions for achieving robust antisynchronization of two identical chaotic systems with different initial conditions and two different chaotic systems with terms of uncertainties and external disturbances are derived based on the Lyapunov stability theory. Analysis and numerical simulations are shown for validation purposes.

scholarly journals Robust Synchronization of Fractional-Order Uncertain Chaotic Systems Based on Output Feedback Sliding Mode Control

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 599 ◽  
Author(s):  
Chao Song ◽  
Shumin Fei ◽  
Jinde Cao ◽  
Chuangxia Huang
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Control Technique ◽  
Unknown Parameters ◽  
Mode Control ◽  
Robust Synchronization ◽  
The Stability ◽  
Output Information

This paper mainly focuses on the robust synchronization issue for drive-response fractional-order chaotic systems (FOCS) when they have unknown parameters and external disturbances. In order to achieve the goal, the sliding mode control scheme only using output information is designed, and at the same time, the structures of a sliding mode surface and a sliding mode controller are also constructed. A sufficient criterion is presented to ensure the robust synchronization of FOCS according to the stability theory of the fractional calculus and sliding mode control technique. In addition, the result can be applied to identical or non-identical chaotic systems with fractional-order. In the end, we build two practical examples to illustrate the feasibility of our theoretical results.

Adaptive Synchronization of Filippov Systems with Unknown Parameters via Sliding Mode Control

2013 ◽  
Vol 14 (1) ◽  
pp. 61-67
Author(s):  
Shihui Fu ◽  
Ke Li
Keyword(s):  
Sliding Mode Control ◽  
Dry Friction ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Duffing Oscillator ◽  
Adaptive Synchronization ◽  
Unknown Parameters ◽  
Filippov Systems ◽  
Mode Control ◽  
Generalized Hamiltonian System

Abstract In this paper, adaptive synchronization of Filippov systems with unknown parameters is investigated via sliding mode control. In order to obtain smooth error systems, Filippov systems are redesigned by the Generalized Hamiltonian system. The sliding mode control is applied to the error systems and stabilizes their zero solutions. Adaptive synchronization of chaotic systems via sliding mode control is investigated with the applications to Chua's system and the Duffing Oscillator with dry friction. Numerical simulations are also given to identify the effectiveness of the theoretical analysis.

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