Abstract
In this paper a method for constructing a reduced order model retaining the internal structure of the original high order interconnected system is derived under a single criterion. Reduced order models are obtained for several interconnected systems which have different interactions between subsystems.
Obtained reduced order model is the optimal approximation in the sense that it minimizes the equation error. The equation errors and input-output characteristics are evaluated according to unit impulse or unit step responses and a sufficient condition for the stability of the reduced order model is derived under the assumption that the original system is stable.
The validity of the proposed method is pointed via the numerical simulation at last.
