Browsing by Subject "Flexible beam"
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Item Open Access On the boundary control of beam equation(IFAC, 2002) Morgül, ÖmerA flexible system described by Euler-Bernoulli beam equation is considered. The beam is clamped at one end, and is free at the other end. Boundary control force and torque inputs are applied at the free end of the beam. The transfer functions of the controllers are marginally stable and may contain some poles on the imaginary axis. Various stability results are shown and the application of the proposed control law to disturbance rejection problem is considered.Item Open Access On the stabilization of a flexible beam with a tip mass(Society for Industrial and Applied Mathematics, 1998-11) Conrad, F.; Morgül, Ö.We study the stability of a flexible beam that is clamped at one end and free at the other; a mass is also attached to the free end of the beam. To stabilize this system we apply a boundary control force at the free end of the beam. We prove that the closed-loop system is well-posed and is exponentially stable. We then analyze the spectrum of the system for a special case and prove that the spectrum determines the exponential decay rate for the considered case.