AAS 97-722
APPLICATION OF A SINGULAR VALUE DECOMPOSITION METHOD TO DIGITALLY CONTROLLED LARGE ORBITING PLATFORMS WITH CO-LOCATED ACTUATORS AND SENSORS
A.J. Ericsson-Jackson, P.M. Bainum and G. Xing - Howard University
Abstract
The present paper, considers the dynamics and control for the specific application of a large orbiting flexible thin square plate. This work will focus on the utilization of a "Singular Value Decomposition" (SVD) method to create a stable reduced order system. By reviewing the system's singular value bounds in the frequency domain one can properly assess stability robustness parameters that are difficult to characterize effectively in a time-domain setting. This system's singular values were extremely close to zero, denoting singular systems. To alleviate this problem with singularity, the SVD method was applied to transform the original systems to a non-redundant controller/observer system. The reduction of actuators/sensors is done partially in the physical sense and partially in the mathematical space. Results show that when the SVD method is applied a transformation does occur to system matrices which helps to diminish the approach of the system toward singularity.