Backstepping Boundary Controllers and Observers for the Slender Timoshenko Beam: Part II---Stability and Simulations

We present the stability analysis and numerical results for our controller and observer designs for the slender Timoshenko beam with Kelvin-Voigt (internal material) damping. Our designs, introduced in a companion ACC \´06 paper, use a combination of classical "damping boundary feedback" ideas with backstepping. The main advantage of our techniques over the previous boundary damping results is that they apply to the readily implementable "anti-collocated" architecture, which uses actuation only at the beam\´s base and sensing only at the beam\´s tip