Abstract :
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.
Keywords :
H∞ control; MIMO systems; aircraft control; approximation theory; control system synthesis; interpolation; iterative methods; reduced order systems; singular value decomposition; ℋ∞ control design methodologies; SVD reduction approach; flexible aircraft; iterative SVD-tangential interpolation method; medium-scale MIMO LTI systems approximation; medium-scale industrial aeroelastical aircraft model; model reduction community; multiple input multiple output linear time invariant system; Aircraft; Interpolation; MIMO; Mathematical model; Reduced order systems; Stability analysis; ℋ∞ control; Flexible aircraft; Model reduction; SVD; Tangential interpolation;
