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 decomposition 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.