On the order reduction of MIMO large-scale systems using block-roots of matrix polynomials

The present paper deals with the problem of approximating linear time invariant MIMO large-scale systems with reduced order system via the help of the so called block-moment matching method based on the dominance exist between solvents of the system characteristic matrix polynomial, where the Block-roots are reconstructed using a new proposed procedure. The validation and study of accurate approximation is done by a specified performance index called pulse energy criterion. The necessary condition for correctness and applicability of the proposed method is the block-controllablity or block-observability. Finally, for the demonstration of the proposed method efficiency a numerical example is illustrated.