A Comparison of Methods for Calculation of Transformation Matrices for Model Order Reduction Using GPU Parallel Computing

• Autorzy: Raczyński, D.
• Konferencja: Środowiskowe Warsztaty Doktorantów Politechniki Opolskiej (VII ; 12–14.06.2013; Opole-Pokrzywna)
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to compare execution times for developed programs for determining transformation matrices in model order reduction using the balanced realization method. Six popular methods are implemented, named the: RPR, SR, BFSR, EIG-SR, EIGBFSR and Obinata-Anderson method. Each algorithm is prepared in two versions, one for execution on the main processor (CPU), and the other one for execution on graphics processor (GPU).

Słowa kluczowe

PL

wyznaczanie macierzy transformacji; model redukcji zleceń; procesor główny; procesor graficzny

EN

determining transformation matrices; model order reduction; main processor; graphics processor

• Czasopismo: Zeszyty Naukowe. Elektryka / Politechnika Opolska
• Rocznik: 2013
• Tom: z. 69
• Strony: 91--92
• Opis fizyczny: Bibliogr. 5 poz., wykr.

Twórcy

autor

Raczyński, D.

• Faculty of Electrical Engineering Automatic Control and Informatics Institute of Control and Computer Engineering

Bibliografia

• [1] ANTOULAS A.: Approximation of Large-Scale Dynamical Systems, SIAM, Philadelphia 2005
• [2] OBINATA G., ANDERSON B.: Model Reduction for Control System Design, Springer-Verlag, London 2001
• [3] GLOVER K.: All optimal Hankel-norm approximations of linear multivariable systems and their L∞ - error bounds, Int. J. Control, vol. 39, pp. 1115–1193, 1984
• [4] VARGA A., ANDERSON B.: Accuracy enhancing methods for the frequency-weighted balancing related model reduction, Proc. of CDC'2001, Orlando, Florida, pp. 3659-3664, 2001.
• [5] VARGA A.: Balancing-free square-root algorithm for computing singular perturbation approximations, Proc. of 30th IEEE CDC, Brighton, UK, 1991