Browsing by Subject "Boundary controls"
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Item Open Access On the strain feedback control of a flexible robot arm(IEEE, 2011) Morgül, ÖmerWe consider a flexible robot arm modeled as a rigid hub which rotates in an inertial space; a light flexible link is clamped to the rigid body at one end and is free at the other. We assume that the flexible link performs only planar motion. We assume that the strain of the flexible link at the clamped end is measurable. We show that suitable control torques applied to the rigid hub stabilizes the system and achieves orientation under certain conditions. The proposed torque contains derivative, proportional and integral terms of the strain. The stability proofs depend on the passivity of the controller transfer function.Item Open Access PDE control of a rotating shear beam with boundary feedback(IEEE, 2009-08) Doğan, M.; Morgül, ÖmerWe consider a flexible structure modeled as a shear beam which is clamped to a rigid body at one end and is free at the other end. The whole structure is free to rotate on the horizontal plane. We first model the system by using Partial Differential Equations (PDE) and we propose boundary feedback laws to achieve set point regulation of the rotation angle as well as to suppress the elastic vibrations. The proposed control laws are based on PDE model, hence we do not resort to discretization of the system equations by available methods. We utilize a coordinate transformation based on an invertible integral transformation by using Volterra form and backstepping techniques. We also present some simulation results. © 2009 EUCA.