Singular value analysis of deformable systems

Singular value analysis, balancing, and approximation of a class of deformable systems are investigated. The deformable systems considered herein include several important cases of flexible aerospace vehicles and are characterized by countably infinitely many poles and zeros on the imaginary axis. The analysis relies completely on the so-called asymptotic singular value decompositon of the Hankel operator associated with the impulse response of the system. A parametric study of a six-dimensional single-input single-output case is performed.This research was supported by AFOSR Grant 80-0013 and by the Joint Services Electronics Program through AFOSR/AFSC under Contract No. F44620-71-C-0067.