کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
750292 | 1462318 | 2015 | 11 صفحه PDF | دانلود رایگان |
This paper develops an interpolatory framework for weighted-H2H2 model reduction of MIMO dynamical systems. A new representation of the weighted-H2H2 inner products in MIMO settings is introduced and used to derive associated first-order necessary conditions satisfied by optimal weighted-H2H2 reduced-order models. Equivalence of these new interpolatory conditions with earlier Riccati-based conditions given by Halevi is also shown. An examination of realizations for equivalent weighted-H2H2 systems leads then to an algorithm that remains tractable for large state-space dimension. Several numerical examples illustrate the effectiveness of this approach and its competitiveness with Frequency Weighted Balanced Truncation and an earlier interpolatory approach, the Weighted Iterative Rational Krylov Algorithm.
Journal: Systems & Control Letters - Volume 78, April 2015, Pages 8–18