Stabilization of a rotating flexible structure with shear force feedback controls*
نویسندگان
چکیده
Abstract— This note deals with the stabilization problem of a rotating disk with a flexible beam attached to its center. Assuming that a torque control is applied on the disk and a shear force control is exerted at the free end of the beam, we end up with a nondissipative closed loop system. We prove that the system can be nonuniformly exponentially stabilized provided that the angular velocity of the disk is less than the square root of the first eigenvalue of the related self-adjoint positive definite operator. This result is illustrated by numerical examples.
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