Abstract
This paper presents optimal dynamic displacement feedback for large space structures with sensors/actuators collocation. The simple dynamic displacement feedback controller, proposed by Fujisaki, Ikeda, and Miki, is transformed to a scheme whose input contains the control input for the space structure as well as the measured output as in the cases of observer-based and Kalman-filter-based controllers. This controller has parameters which determine the gains for the measured displacement and its pseudo-differentiation, and the bandwidth of the pseudo-differentiation. It is shown that the obtained closed-loop system becomes an optimal regulator for a quadratic cost function when the parameters in the controller are suitably tuned. This result is extended to the case of decentralized control for large space structures composed of a number of subsystems which are interconnected by springs and dampers.
