تقرير
Optimal $\mathcal{H}_{2}$ model approximation based on multiple input/output delays systems
| العنوان: | Optimal $\mathcal{H}_{2}$ model approximation based on multiple input/output delays systems |
|---|---|
| المؤلفون: | Duff, Igor Pontes, Poussot-Vassal, Charles, Seren, Cédric |
| سنة النشر: | 2015 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Systems and Control, Mathematics - Dynamical Systems, Mathematics - Numerical Analysis |
| الوصف: | In this paper, the $\mathcal{H}_{2}$ optimal approximation of a $n_{y}\times{n_{u}}$ transfer function $\mathbf{G}(s)$ by a finite dimensional system $\hat{\mathbf{H}}_{d}(s)$ including input/output delays, is addressed. The underlying $\mathcal{H}_{2}$ optimality conditions of the approximation problem are firstly derived and established in the case of a poles/residues decomposition. These latter form an extension of the tangential interpolatory conditions, presented in~\cite{gugercin2008h_2,dooren2007} for the delay-free case, which is the main contribution of this paper. Secondly, a two stage algorithm is proposed in order to practically obtain such an approximation. Comment: 14 pages, 3 figures, submitted to Automatica Journal |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1511.05252 |
| رقم الأكسشن: | edsarx.1511.05252 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |