作者
Michel Gevers, Xavier Bombois, Benoı̂t Codrons, Gérard Scorletti, Brian DO Anderson
发表日期
2003/3/1
期刊
Automatica
卷号
39
期号
3
页码范围
403-415
出版商
Pergamon
简介
We propose a model validation procedure that consists of a prediction error identification experiment with a full order model. It delivers a parametric uncertainty ellipsoid and a corresponding set of parameterized transfer functions, which we call prediction error (PE) uncertainty set. Such uncertainty set differs from the classical uncertainty descriptions used in robust control analysis and design. We develop a robust control analysis theory for such uncertainty sets, which covers two distinct aspects: (1) Controller validation. We present necessary and sufficient conditions for a specific controller to stabilize—or to achieve a given level of performance with—all systems in such PE uncertainty set. (2) Model validation for robust control. We present a measure for the size of such PE uncertainty set that is directly connected to the size of a set controllers that stabilize all systems in the model uncertainty set. This allows us to …
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