Browsing by Keywords "Partial differential equations"
Now showing items 1-7 of 7
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Control and stabilization of a rotating flexible structure
(Elsevier, 1994)We consider a flexible beam clamped to a rigid base at one end and free at the other end. We assume that the rigid base rotates with a constant angular velocity and that the motion of the flexible beam takes place on a ... -
Dynamic boundary control of the timoshenko beam
(Pergamon Press, 1992)We consider a clamped-free Timoshenko beam. To stabilize the beam vibrations, we propose a dynamic boundary control law applied at the free end of the beam. We prove that with the proposed control law, the beam vibrations ... -
A dynamic control law for the wave equation
(Elsevier, 1994)We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end ... -
Infinite dimensional and reduced order observers for Burgers equation
(Taylor & Francis, 2005)Obtaining a representative model in feedback control system design problems is a key step and is generally a challenge. For spatially continuous systems, it becomes more difficult as the dynamics is infinite dimensional ... -
On the control of two-link flexible robot arm with nonuniform cross section
(SAGE, 2010)We consider the motion of a two-link flexible arm with nonuniform cross section. We obtain the equations of motion by using the extended Hamiltons principle. These equations consist of coupled partial differential equations ... -
PDE control of a rotating shear beam with boundary feedback
(IEEE, 2009-08)We 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 ... -
Stabilization and disturbance rejection for the beam equation
(IEEE, 2001)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 ...
