FRACTIONAL BALANCED REDUCTION - MODEL-REDUCTION VIA FRACTIONAL REPRESENTATION

A method for the model reduction of finite-dimensional, linear, time-invariant (FDLTI) plants is proposed which uses normalized fractional representations. The method, dubbed fractional balanced reduction, applies balance and truncate to a special representation of the graph operator of the plant. This operation yields the graph operator of a reduced order plant. The method has nice properties including existence of an a priori error bound in the graph metric, and preservation of sector containment. © 1990 IEEE