Proper Orthogonal Decomposition Based Control of Transverse Beam Vibrations: Experimental Implementation

摘要

LQG compensator control of transverse vibrations was implemented on an aluminum cantilevered beam in a 'smart structure' paradigm. The beam was mounted with two self-sensing, self-actuating piezoceramic patches. The Euler- Bernoulli beam equation was discretized via a Galerkin type approximation (referred to as the full order model). To reduce the size of the resulting finite dimensional approximating system, the Proper Orthogonal Decomposition (POD) was employed as a reduced basis method. A reduction of dimension from 34 to 2 was obtained through the model reduction technique. Feedback control based on the reduced order system was implemented in real time using a dSpace DS1103 control system. Experimental results indicate that POD based control achieves comparable control attenuation with full order model based control.