Abstract
This paper proposes a new order reduction approach for Roesser state-space model of multidimensional ( n-D) systems based on elementary operations, by inversely applying the basic idea adopted in the new elementary operation approach to the Roesser model realization of n-D systems. It will be shown first that the n-D order reduction problem can be formulated into an elementary operation problem of an n-D polynomial matrix obtained from the coefficient matrices of the given Roesser model. Based on this problem formulation, a basic order reduction procedure and three techniques are presented, by which the intrinsic relationship among the blocks with respect to different variables can be investigated to achieve a further possible order reduction. It turns out that the new proposed approach is applicable to a wider class of Roesser models than the existing reduction approaches and provides a possible way to explore the equivalence between two systems. Examples are given to illustrate the main idea as well as the effectiveness of the proposed approach.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call