Stabilization of a triangular system with unknown parameters and external disturbances

In this paper, the stabilization a triangular system with both unknown parameters and external disturbances is investigated. Firstly, three suitable filters are proposed and used to design disturbance estimator (DE)-based controller which can asymptotically estimate the external disturbance. Secondly, and adaptive DE-based controller is proposed to realize the stabilization of such system. Finally, numerical simulation results by computer are applied to verify the validity and accuracy of the obtained theoretical results.