2-D MODEL-REDUCTION BY QUASI-BALANCED TRUNCATION AND SINGULAR PERTURBATION

This paper considers two-dimensional system model reduction using 2-D balanced truncation and singular perturbation. A new 2-D state space r ealization named quasi-balanced realization is proposed which is close ly related to a pseudo-balanced realization and a structurally balance d realization. A unique feature of the new balanced realization is tha t it is numerically efficient when it exists and it reduces to the pse udo-balanced realization if the system is denominator separable. An im proved frequency error bound is also derived for the pseudo-balanced ( or quasi-balanced) realization model reduction for denominator separab le systems. Finally, a new 2-D model reduction method together with st ability analysis based on singular perturbation theory is studied.