Forced sliding mode control for chaotic systems synchronization

Synchronization of chaotic systems is considered to be a common engineering problem. However, the proposed laws synchronization control do not always provide robustness toward parametric perturbations. The purpose this article show use synergy-cybernetic approach for construction robust law Arneodo synchronization. As main method design control, with forced sliding mode synergetic theory considered. To illustrate effectiveness law, in it compared classical and adaptive backstepping. distinctive features suggested are more good compensation perturbations (better performance indexes—the root-mean-square error (RMSE), average absolute value (AVG) error) without designing perturbation observers, ability exclude chattering effect, less energy consuming simpler analysis stability closed-loop system. study change its parameters place perturbation’s application carried out. It possible significantly reduce RMSE, as well AVG by reducing some parameters, but that leads an increase signal amplitude. disturbances (slave or master system) has no effect on RMSE error. Offered will allow new consideration systems, taking into account ideas directed self-organization control. can used other systems.