An iterative SVD-tangential interpolation method for medium-scale MIMO systems approximation with application on flexible aircraft

In this paper, the problem of medium-scale MIMO LTI systems approximation is addressed. The proposed methodology, inspired from recent developments in the model reduction community (i.e. [1], [2], [3]), consists of combining the features of the SVD reduction approach with the tangential interpolation ones. The contributions of the paper are in two folds: (i) it provides a simple but numerically robust and effective procedure, namely, Iterative SVD-Tangential Interpolation Algorithm (ISTIA), to approximate any medium-scale MIMO LTI system and, (ii) it assesses the efficiency of the proposed methodology on a medium-scale industrial aeroelastical aircraft model, on which different ℋ_∞ control design methodologies are evaluated, illustrating on a complex industrial framework, the efficiency of the proposed approximation algorithm.