Title :
An Iterative Eigenvector Tangential Interpolation Algorithm for large-scale LTI and a class of LPV model approximation
Author :
Poussot-Vassal, C. ; Vuillemin, P.
Author_Institution :
Onera - The French Aerosp. Lab., Toulouse, France
Abstract :
In this paper, a new Iterative Eigenvector Tangential Interpolation Algorithm (IETIA) is proposed to approximate large-scale LTI models, allowing to achieve ℌ2 optimality-like conditions while preserving some user-defined eigenvalues. The proposed algorithm is also shown to be applicable to a certain class of LPV models. Numerical applications on standard model reduction benchmarks assess the effectiveness of the approach.
Keywords :
approximation theory; eigenvalues and eigenfunctions; iterative methods; linear systems; nonlinear control systems; ℌ2 optimality-like conditions; IETIA; LPV model approximation; approximate large-scale LTI models; iterative eigenvector tangential interpolation algorithm; model reduction benchmarks; numerical applications; user-defined eigenvalues; Approximation algorithms; Eigenvalues and eigenfunctions; Interpolation; MIMO; Mathematical model; Reduced order systems; Model reduction; eigenvectors; large-scale linear dynamical systems; linear parameter varying;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
