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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