BALANCED REALIZATION AND MODEL-REDUCTION OF SINGULAR SYSTEMS

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.