Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
A Controller Reduction Method Maintaining Closed-Loop Properties by the Structured Singular Value
Tsutomu NAGADOEtsujiro SHIMEMURATsutomu ISHIDAKenko UCHIDA
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1996 Volume 32 Issue 7 Pages 1080-1086

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Abstract
In this paper, we propose a new controller reduction method which considers maintaining properties of the closed-loop system. Modern controller design techniques such as H-control, μ-synthesis frequently lead to high order controllers. Due to the practical reason, there is need to reduce thee order of these controllers. It is important to consider preserving the property of original controllers in the process of reducing the order. In the conventional method, an approximated criterion is used so that simple frequency weighted model reduction techniques may be applied. In our scheme, the structured singular value is introduced to derive a new criterion which has no approximation. A numerical example is used to confirm the effectiveness of the proposed method.
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