Synchronization of chaotic Gyroscopes via an adaptive robust controller

Abstract

Gyroscopes are dynamical systems with applications in optics, aeronautics, etc. In this paper, a robust approach has been opted to address the synchronization problem of two chaotic nonlinear gyroscopes in the presence of model uncertainties, external disturbances, and unknown parameters. Suitable control laws as well as adaptive rules have been proposed to have a reasonable response. In order to validate our findings, a comparative numerical example is provided.