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Using permuted graph bases in H∞ control

delete2013-06-01
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PRE
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V
Volker Mehrmann *
F
Federico Poloni
DOI:10.1016/j.automatica.2013.02.039delete
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摘要

摘要

En 中文
We present a new numerical method (based on the computation of deflating subspaces) for the gamma-iteration in H-infinity, control in the extended matrix pencil formulation. 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 use this representation to perform both the deflation of spurious infinity eigenvalues of the even pencils and the implementation of the inverse-free sign iteration. We show that the new method returns accurate results and is applicable in many situations where conventional methods fail. (C) 2013 Elsevier Ltd. All rights reserved.
Keyword:
Algebraic Riccati equations
Robust control
Numerical algorithms
Inverse-free algorithms
Matrix sign iteration
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期刊

Automatica 封面图
Automatica
IF:
5.9
论文数:
1.2W
被引数:
5.2W

机构

T
Technical University of Berlin
学者数:
1.3W
论文数: 1.1W
被引数: 18
U
University of Pisa
学者数:
3.1W
论文数: 2.4W
被引数: 2.4W
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