Stabilization and disturbance rejection for the beam equation
IEEE Transactions on Automatic Control
1913 - 1918
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Please cite this item using this persistent URLhttp://hdl.handle.net/11693/24781
We consider a system described by the Euler-Bernoulli beam equation. For stabilization, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the controller is a marginally stable positive real function which may contain poles on the imaginary axis. We then give various asymptotical and exponential stability results. We also consider the disturbance rejection problem.