Poles Residues Descent Algorithm for Optimal Frequency-Limited H2 Model ApproximationReport as inadecuate




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1 Toulouse - ONERA - The French Aerospace Lab 2 Université de Toulouse

Abstract : Model approximation of multiple-inputs-multiple-outputs MIMO linear dynamical systems over a bounded frequency range can be expressed as an optimization problem in terms of the frequency-limited H2-norm. In this paper, a new formulation of the frequency-limited H2 model approximation error is presented and its gradient derived. It is then used in a descent algorithm which does not require to solve any Lyapunov equation but one initial eigenvalue problem. The efficiency of the method is illustrated through numerical benchmarks.

Keywords : MODEL REDUCTION LINEAR ALGEBRA





Author: P. Vuillemin - Charles Poussot-Vassal - D. Alazard -

Source: https://hal.archives-ouvertes.fr/



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