A Novel Non-smooth Controller of the Second Order System with Disturbances and Its Application

A novel finite time non-smooth controller of the second system with disturbances is proposed. Its stability is proved by homogeneous system theory, its strong disturbances rejection ability is studied by numerical simulation. The azimuth non-smooth compounded controller of the small float satellite antenna including the non-smooth feed-forward controller, non-smooth feedback controller and the non-smooth proportional and differential (PD) controller is applied to control the azimuth attitude of the antenna. The accurate disturbances estimation of the non-smooth feed-forward controller, the strong disturbances rejection of the non-smooth feedback controller and the rapid response of the non-smooth PD controller are studied. Experiments validate the azimuth non-smooth compounded controller of the small float satellite antenna can control the azimuth attitude of the antenna in time and guarantee the communication between the antenna and the target satellite with high quality.