Control of a Parametrically Excited Flexible Beam Undergoing Rotation and Impacts
نویسندگان
چکیده
The linear control of a parametrically excited impacting flexible link in rotational motion is considered. The equation of motion for such a system contains time-periodic coefficients.To suppress the vibrations resulting after impact with an external rigid body, a linear controller is designed via Lyapunov-Floquet transformation. In this approach, the equations of motion with time-periodic coefficients are transformed into a time-invariant form suitable for the application of standard timeinvariant controller design techniques. The momentum balance method and an empirical coefficient of restitution is used to model the collision between the two bodies.
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