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Control-relevant model reduction problems for SISO H2, H∞, and μ-controller synthesis

 

作者: DANIELE. RIVERA,   MANFRED MORARI,  

 

期刊: International Journal of Control  (Taylor Available online 1987)
卷期: Volume 46, issue 2  

页码: 505-527

 

ISSN:0020-7179

 

年代: 1987

 

DOI:10.1080/00207178708933913

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The problem of model reduction in the context of control system design is investigated. Starting from closed-loop objectives (H2,H∞, and μ), equivalent weighted open-loop plant and controller reduction problems are developed. The control-relevant weight function incorporates explicitly all the important characteristics of the control problem, such as the setpoint/disturbance spectrum and the designer requirements for the sensitivity/complementary sensitivity functions, Furthermore, these control-relevant reduction problems are complemented with validation procedures that indicate rigorously the effects of the reduction problem on the desired performance objectives. A simple algorithm that uses standard regression routines is presented to solve these problems.

 

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