Strukturerhaltende Approximation linearer verteilt-parametrischer PCHD-Systeme

Harkort C, Deutscher J (2012)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Book Volume: 60

Pages Range: 534-546

Journal Issue: 9

DOI: 10.1524/auto.2012.1023

Abstract

In this contribution an approximation approach for linear distributed-parameter port controlled Hamiltonian systems with damping (PCHD systems) is presented that allows for the preservation of the PCHD structure of the original system. Futhermore, it is possible to assure that the stability margin of the approximation satisfies a lower bound that depends on the dissipativity of the infinitedimensional system operator. The presented approximation method is based on a generalized version of the Petrov-Galerkin approximation and has free parameters that can be used to achieve approximations with matching moments. The results of the paper are demonstrated by approximating a heat conducting system. © Oldenbourg Wissenschaftsverlag.

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How to cite

APA:

Harkort, C., & Deutscher, J. (2012). Strukturerhaltende Approximation linearer verteilt-parametrischer PCHD-Systeme. At-Automatisierungstechnik, 60(9), 534-546. https://dx.doi.org/10.1524/auto.2012.1023

MLA:

Harkort, Christian, and Joachim Deutscher. "Strukturerhaltende Approximation linearer verteilt-parametrischer PCHD-Systeme." At-Automatisierungstechnik 60.9 (2012): 534-546.

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