Shape Control of Flexible Structures

Abstract

A shape control algorithm for a large flexible structure is proposed: (a) a reduced order model, which represents the precise shape of a structure; (b) a shape esti mation filter, which reduces the estimation error caused not only by the white noises of sensor measurements but also by the variation of the D.C. offsets of sensors; (c) a simple and robust controller to regulate many state variables by using many sensors and actuators. The controller is realized by a zero proportional, integral, derivative controller (zero P-ID controller) with the concept of low authority control/high authority control (LAC/HAC). The proposed shape control algorithm is illustrated through applications to a numerical model of an experimental setup.