401 Estimation and Control of Distributed Models for Certain Elastic Systems Arising in Large Space Structures- AFOSR Grant AFOSR-84-0271

1. Goals of the project. The goal of this project is to study the estimation and control of elastic systems composed of beams and plates in order to develop efficient and accurate estimation and c'.itrol algorithms. JWe have made good progress toward this goal over the last year and a half having obtained results for the estimation in static beams and plates, control and location of actuators for static beams and plates, and identtfgability for discrete approximations of second order elliptic boundary value problems. We presently have developed and are currently testing codes for numerical experimentation for estimation of damping and elastic coefficients in dynamic linear plate models, estimation of boundary parameters for second order elliptic problems, estimation of elastic coefficients in cantilevered beams using perturbed boundary conditions, optimal location of actuators for the control of beams, and control of plates through forces at points and forces distributed over sets of small measure and curves.