Automatica, Vol.49, No.5, 1275-1280, 2013
Interpolatory weighted-H-2 model reduction
This paper introduces an interpolation framework for the weighted-H-2 model reduction problem. We obtain a new representation of the weighted-H-2 norm of SISO systems that provides new interpolatory first order necessary conditions for an optimal reduced-order model. The H-2 norm representation also provides an error expression that motivates a new weighted-H-2 model reduction algorithm. Several numerical examples illustrate the effectiveness of the proposed approach. (C) 2013 Elsevier Ltd. All rights reserved.
Keywords:Model reduction;Rational interpolation;Feedback control;Weighted model reduction;Weighted-H-2 approximation