In this paper we propose an effcient computational approach to minimize the H-infinity-norm of a transfer-function matrix depending affinely on a set of free parameters. The minimization problem, formulated as a semiinfinite convex programming problem, is solved via a relaxation approach over a finite set of frequency values. In this way, a significant speed up is achieved by avoiding the solution of high order LMIs resulting by equivalently formulating the minimization problem as a high dimensional semidefinite programming problem. Numerical results illustrate the superiority of proposed approach over LMIs based techniques in solving zero order H1-norm approximation problems.


    Access

    Download


    Export, share and cite



    Title :

    Accuracy Enhancing Methods for the Frequency-Weighted Balancing Related Model Reduction


    Contributors:

    Conference:

    2001 ; Orlando, Florida (USA)


    Published in:

    Publication date :

    2001-11-01


    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English




    Accuracy-enhancing methods for balancing-related frequency-weighted model and controller reduction

    Varga, Andras / Anderson, Brain D.O. | German Aerospace Center (DLR) | 2003

    Free access

    Frequency-Weighted Balancing Related Controller Reduction

    Varga, Andras / Anderson, Brian D.O. | German Aerospace Center (DLR) | 2002

    Free access

    On stochastic balancing related model reduction

    Varga, Andras | German Aerospace Center (DLR) | 2000

    Free access

    Optimal model reduction and frequency-weighted extension

    SPANOS, J. / MILMAN, M. / MINGORI, D. | AIAA | 1990