Robust Adaptive Synchronization of Chaotic Systems With Nonsymmetric Input Saturation Constraints

Abstract

This paper considers the robust synchronization of chaotic systems in the presence of nonsymmetric input saturation constraints. The synchronization happens between two nonlinear master and slave systems in the face of model uncertainties and external disturbances. A new adaptive sliding mode controller is designed in a way that the robust synchronization occurs. In this regard, a theorem is proposed, and according to the Lyapunov approach the adaptation laws are derived, and it is proved that the synchronization error converges to zero despite of the uncertain terms in master and slave systems and nonsymmetric input saturation constraints. Finally, the proposed method is applied on chaotic gyro systems to show its applicability. Computer simulations verify the theoretical results and also show the effective performance of the proposed controller.

Robust finite-time synchronization of uncertain chaotic systems: application on Duffing-Holmes system and chaos gyros

“…In this structure, the state trajectories of the slave system should track the state trajectories of the master system. Until now, a wide variety of approaches have been proposed for the synchronization of chaotic systems which include adaptive control (Mohammadpour & Binazadeh, 2018a;Yau & Chen, 2007), observer-based control (Mohammadpour & Binazadeh, 2017, 2018b, sliding mode control (Li, Liao, Li, & Li, 2011), backstepping control (Xing-Yuan & Hao, 2013), active control (Cai, Jing, & Zhang, 2010), fractional-order control (Velmurugan & Rakkiyappan, 2016), fuzzy control approach (Lin & Wang, 2011) and so on.…”