Hybrid Synchronization of Identical Chaotic Systems Using Sliding Mode Control and an Application to Vaidyanathan Chaotic Systems

Author(s):  
Sundarapandian Vaidyanathan ◽  
Ahmad Taher Azar
2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Nazam Siddique ◽  
Fazal ur Rehman

This article presents an adaptive integral sliding mode control (SMC) design method for parameter identification and hybrid synchronization of chaotic systems connected in ring topology. To employ the adaptive integral sliding mode control, the error system is transformed into a special structure containing nominal part and some unknown terms. The unknown terms are computed adaptively. Then the error system is stabilized using integral sliding mode control. The controller of the error system is created that contains both the nominal control and the compensator control. The adapted laws and compensator controller are derived using Lyapunov stability theory. The effectiveness of the proposed technique is validated through numerical examples.


Author(s):  
Sara Gholipour P ◽  
Sara Minagar ◽  
Javad Kazemitabar ◽  
Mobin Alizadeh

Background: A novel type of control strategy is presented for control of chaotic systems particularly a chaotic robot in joint and workspace which is the result of applying fractional calculus to dynamic sliding mode control. Objectives: To guarantee the sliding mode condition, control law is introduced based on the Lyapunov stability theory. Methods: A control scheme is proposed for reducing the chattering problem in finite time tracking and robust in presence of system matched disturbances. Conclusion: Also, all of chaotic robot's qualitative and quantitative characteristics have been investigated. Numerical simulations indicate viability of our control method. Results: Qualitative and quantitative characteristics of the chaotic robot are all proven to be viable thru simulations.


2007 ◽  
Vol 33 (4) ◽  
pp. 1230-1239 ◽  
Author(s):  
Mohammad Haeri ◽  
Mohammad Saleh Tavazoei ◽  
Majid Reza Naseh

2008 ◽  
Vol 56 (1-2) ◽  
pp. 193-198 ◽  
Author(s):  
Leipo Liu ◽  
Zhengzhi Han ◽  
Wenlin Li

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