Aj. Ericssonjackson et al., APPLICATION OF SINGULAR-VALUE DECOMPOSITION METHOD TO DIGITALLY CONTROLLED LARGE ORBITING PLATFORMS, Journal of guidance, control, and dynamics, 21(4), 1998, pp. 551-557
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.