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Stabilizing frequency weighted controller reduction approach

delete2007-04-01
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A
Amirhossein Yousefi *
B
Boris Lohmann
DOI:10.1016/j.isatra.2006.12.003delete
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Abstract

Abstract

En 中文
This note addresses the problem of instability in frequency weighted controller reduction methods based on similarity transformations. The aim is to reduce the complexity of the controllers derived by modern controller design packages for practical applications. For a given controller a framework is proposed that parameterizes a set of reduced controllers that preserve the stability of the closed loop system. Then based on this result a complementary algorithm to obtain a stabilizing stable reduced controller based on the two sided frequency weighted reduction method is presented. In addition, a sufficient condition for the existence of such a framework is derived. (c) 2007, ISA. Published by Elsevier Ltd. All rights reserved.
Keywords:
stability
frequency weighting
controller reduction
Lyapunov equation
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ISA Transactions cover
ISA Transactions
IF:
6.5
Papers:
5.9K
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2.0W

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Technical University of Munich
Scholars:
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Citations: 6.2W