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Controller reduction via frequency weightings considering $H_{\infty}$ property preservation
Author(s) -
Nagado Tsutomu,
Usui Shota
Publication year - 2008
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.20683
Subject(s) - reduction (mathematics) , controller (irrigation) , property (philosophy) , control theory (sociology) , bounded function , automatic frequency control , mathematics , computer science , control (management) , mathematical analysis , geometry , telecommunications , artificial intelligence , philosophy , epistemology , agronomy , biology
In this paper, a new $H_{\infty}$ controller reduction method is proposed to preserve the $H_{\infty}$ property using frequency weightings. It is necessary to consider decreasing degradation of $H_{\infty}$ property for $H_{\infty}$ controller reduction. It is well known that all $H_{\infty}$ controllers are represented by free parameters which are stable and bounded. In the paper, frequency weightings are given to stabilize the free parameters, and low‐order controller is provided by using frequency‐weighted balanced technique. Some numerical examples are given to show the effectiveness of the method. © 2008 Wiley Periodicals, Inc. Electr Eng Jpn, 166(2): 63–69, 2009; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20683