Disturbance observer-based adaptive sliding mode synchronization control for uncertain chaotic systems

The synchronization control problem of a class of chaotic systems with unknown uncertainties and outside perturbation is addressed in this article by employing an innovative adaptive sliding mode controller (SM, SMC) constructed using a disturbance observer (DO). For the synchronous error system, the external disturbances estimated by the disturbance observer cannot be measured directly. If the appropriate gain matrix is chosen, the DO can approximate the unknown external disturbances well. Then a continuous adaptive SM controller based on the DO's output is designed by using adaptive techniques and the system dimensional expansion method. The DuffingHolmes chaotic system is finally selected to numerically test the efficiency of the suggested strategy.

Automated summary

This article addresses the synchronization control problem of a class of chaotic systems with unknown uncertainties and outside perturbation by using an innovative adaptive sliding mode controller constructed using a disturbance observer. The disturbance observer can approximate the unknown external disturbances well by choosing the appropriate gain matrix. Then, a continuous adaptive sliding mode controller based on the disturbance observer's output is designed using adaptive techniques and the system dimensional expansion method. The efficiency of the suggested strategy is finally tested numerically using the Duffing-Holmes chaotic system.