K. Perev et B. Shafai, BALANCED REALIZATION AND MODEL-REDUCTION OF SINGULAR SYSTEMS, International Journal of Systems Science, 25(6), 1994, pp. 1039-1052
Citations number
16
Categorie Soggetti
System Science","Computer Science Theory & Methods","Operatione Research & Management Science
The problem of balanced realization and model reduction of a singular
system of the form Ex = Ax + Bu, where E is a singular matrix, is cons
idered. Using coordinate transformation, which can be computed by perf
orming singular value decomposition of E, we derive our first approach
to the balancing of singular systems. The second approach is based on
standard form decomposition of singular systems to slow and fast subs
ystems and performing balanced realization on the decomposed model. In
this sense model reduction can be established in two steps: first, by
decomposing the singular system and second, by performing balancing t
ransformation on the decomposed subsystems.