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AUTOMATICA
2005

Relations between uncertainty structures in identification for robust control

8 years 12 months ago
Relations between uncertainty structures in identification for robust control
Various techniques of system identification exist that provide a nominal model and an uncertainty bound. An important question is what the implications are for the particular choice of the structure in which the uncertainty is described when dealing with robust stability/performance analysis of a given controller and when dealing with robust synthesis. It is shown that an amplitude-bounded (circular) uncertainty set can equivalently be described in terms of an additive, Youla parameter and -gap uncertainty. As a result, the choice of structure does not matter provided that the identification methods deliver optimal uncertainty sets rather than an uncertainty bound around a prefixed nominal model. Frequency-dependent closed-loop performance functions based on the uncertainty sets are again bounded by circles in the frequency domain, allowing for analytical expressions for worst-case performance and for the evaluation of the consequences of uncertainty for robust design. The results can...
Sippe G. Douma, Paul M. J. Van den Hof
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2005
Where AUTOMATICA
Authors Sippe G. Douma, Paul M. J. Van den Hof
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