Adaptive control of the translational oscillator with a rotational actuator system

Aimed at the stabilization problem of the translational oscillator with a rotational actuator system (TORA) with unknown parameters, an adaptive state feedback controller with explicit form is proposed. The proposed controller is constituted by a feedback controller and an adaptive law of unknown parameters. The stability of the TORA under the proposed controller is proved. 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.