Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme

• Published in: Nonlinear dynamics Vol. 69; no. 1-2; pp. 35 - 55
• Main Authors: Chen, Diyi, Zhang, Runfan, Ma, Xiaoyi, Liu, Si
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.07.2012; Springer Nature B.V
• Subjects: Automotive Engineering; Chaos theory; Classical Mechanics; Computer simulation; Control; Dynamical Systems; Engineering; Mathematical models; Mechanical Engineering; Nonlinear dynamics; Original Paper; Proportional integral; Sliding mode control; Synchronism; Synchronization; Vibration; Chaotic system; Synchronization; Sliding mode; Antisynchronization
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-011-0244-7

This paper brings attention to the chaotic antisynchronization and synchronization for a novel class of chaotic systems with different structure and dimensions by using a new sliding mode control strategy. This approach needs only n −1 controllers, where n is the number of the salve system dimensions. And our method uses proportional integral (PI) surface and saturation function to simplify the task of assigning the performance of the closed-loop error system in sliding motion. Furthermore, the sufficient conditions are derived, and representative examples are proposed as well. Finally, numerical simulations are provided to verify the effectiveness and feasibility of the proposed control scheme, which are in agreement with theoretical analysis.