A recursive design method of controller for the stabilization of the translational oscillator with a rotational actuator system

Aimed at the stabilization problem of the translational oscillator with a rotational actuator system, a recursive design method of controller is present. And a state feedback controller with explicit form is obtained. The stability of the closed loop system is analyzed by input-to-state stability. Finally, the effectiveness and performance of the proposed controllers is shown through simulations for the stabilization of the translational oscillator with a rotational actuator system which uses the same parameters that are taken from a real-life model of the TORA.