Title :
Boundary Control of Undamped Beam using Square-Root Velocity
Author_Institution :
Dept. Applied Mathematics, Ecole Polytechnique de Montréal, Box 6079, Stn A, Montreal, Canada
Abstract :
The coprime factorization approach is used to design a linear time-invariant feedback controller to stabilize an undamped beam in the bounded-input-bounded-output (BIBO) sense. Transfer functions are factored into coprime ratios of elements from a ring of stable causal transfer functions that includes transcendental functions of ¿S. We consider a pinned-free beam with a control torque at the pinned end. It is shown that feedback involving "square-root velocity" (= displacement à ¿S) leads to BIBO-stability. However, this stable system is "ill-posed" in the sense that it can be destabilized by the introduction of an arbitrarily small delay in the feedback loop.
Keywords :
Adaptive control; Control systems; Convolution; Delay; Feedback loop; Laplace equations; Mathematics; Torque control; Transfer functions; Velocity control;
Conference_Titel :
American Control Conference, 1987
Conference_Location :
Minneapolis, MN, USA