Mathematical
Colloquium
Colloquium
Control of the Undamped Shear Beam Model Arising in Atomic Force Microscopy
| By |  |
Andras Balogh |
| From | |
Department of Mathematics University of Texas - Pan American |
| When | |
November 6, 2006 4:00 pm |
| Where | |
Room E206, Engineering Building |
| Abstract | |
We consider the undamped version of the shear beam model and design physically intuitive, stabilizing output feedbacks which employ distributed measurements of the beam and apply actuation only at the beam base. Our control design is a novel combination of the classical "damping boundary feedback" ideas with backstepping. The ``anti-collocated'' architecture that we pursue makes active control more readily implementable to several applications, including atomic force microscopy (AFM) where the piezo actuation is applied at the beam base. We also present an observer design dual to the damping feedback ideas. Finally numerical simulations are performed using the Chebyshev spectral method to show the performance of the control and the observer. |
| Further Information | |
Oleg Emanouilov |
There will be Refreshments in WB 117 at 3.30pm
The Colloquium counts as Seminar Credit for Mathematics Students.
The Colloquium counts as Seminar Credit for Mathematics Students.