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Main Title: Robust control via the computation of permuted graph bases
Author(s): Mehrmann, Volker
Poloni, Federico
Type: Research Paper
Abstract: We present a new numerical method for the γ-iteration in robust control based on the extended matrix pencil formulation of [Benner, Byers, Mehrmann, Xu 2007]. The new method bases the γ iteration on the computation of special subspaces associated with matrix pencils. We introduce a permuted graph representation of these subspaces, which avoids the known difficulties that arise when the iteration is based on the solution of algebraic Riccati equations but at the same time makes use of the special symmetry structures that are present in the problems. We show that the new method is applicable in many situations where the conventional methods fail.
Subject(s): robust control
H-infinity control
algebraic Riccati equation
permuted graph basis
Lagrangian subspace
Issue Date: 10-Jun-2012
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65F30 Other matrix algorithms
49-04 Explicit machine computation and programs
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2012, 19
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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