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

Citation
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
Citations number
13
Categorie Soggetti
Instument & Instrumentation","Aerospace Engineering & Tecnology
ISSN journal
07315090
Volume
21
Issue
4
Year of publication
1998
Pages
551 - 557
Database
ISI
SICI code
0731-5090(1998)21:4<551:AOSDMT>2.0.ZU;2-F
Abstract
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.