Stabilization and disturbance rejection for a four-dimensional system via adaptive DE-based control method

The stabilization and disturbance rejection for a four-dimensional system is investigated via adaptive DE-based control method. Firstly, an adaptive controller is proposed and used to stabilize the nominal system with unknown parameters. Then, some suitable filters are designed. Based on these filters, the disturbance estimator (DE)-based controller is presented and applied to exactly estimate the periodic disturbances. Moreover, the stabilization of such system is realized by combining the adaptive controller and the DE-based controller. Finally, computer simulation results verify the effectiveness and validity of the obtained theoretical results.