Title :
ℌ2 pseudo-optimality in model order reduction by Krylov subspace methods
Author :
Wolf, Tilman ; Panzer, Heiko K. F. ; Lohmann, B.
Author_Institution :
Inst. of Autom. Control, Tech. Univ. Munchen, Garching, Germany
Abstract :
New sufficient conditions for ℌ2 pseudo-optimality in Krylov-based model reduction of linear dynamical systems are presented. The conditions are easy to evaluate and permit first applications: a new algorithm to generate ℌ2 pseudo-optimal reduced models with respect to the projecting subspace and a procedure to generate superior local optima in iterative methods. Numerical examples illustrate the contributions.
Keywords :
H∞ control; approximation theory; iterative methods; linear systems; H2 pseudo-optimality; Krylov subspace methods; iterative methods; linear dynamical systems; model order reduction; sufficient conditions; Convergence; Eigenvalues and eigenfunctions; Equations; Erbium; Mathematical model; Numerical models; Reduced order systems;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
