APPLICATION OF SINGULAR-VALUE DECOMPOSITION METHOD TO DIGITALLY CONTROLLED LARGE ORBITING PLATFORMS

The dynamics and control for the specific application of a large orbit ing flexible thin square plate are considered. The focus is on the uti lization of a singular value decomposition (SVD) method to create a st able reduced-order system. By reviewing the system's singular value bo unds in the frequency domain one can properly assess stability robustn ess parameters that are difficult to characterize effectively in a tim e-domain setting. This system's open-loop singular values were extreme ly close to zero, denoting singular system matrices. To alleviate this problem with matrix singularity, the SVD method was applied to transf orm the original systems. The reduction of actuators/sensors is done p artially in the physical sense and partially in the mathematical space . Results show that when the SVD method transformation is applied stab le controllable closed-loop system matrices can be designed.