NDLI: Robustness analysis for full-structured uncertainties

Content Provider	IEEE Xplore Digital Library
Author	Young, P.M.
Copyright Year	1996
Description	Author affiliation: Dept. of Electr. Eng., Colorado State Univ., Fort Collins, CO, USA (Young, P.M.)
Abstract	This paper deals with /spl mu/ problems involving full-structured (rather than block-diagonal) uncertainty, i.e. uncertainty blocks where each sub-block (or element) may be an independent uncertainty. Rearranging this problem into standard (block-diagonal) form results in an explosion in the required computation, and so a number of researchers have proposed more efficient bounds, in particular the use of non-similarity scaling for such problems. Here we show how to map such problems into reduced size standard /spl mu/ problems. The standard bounds applied to the reduced size problem are then shown to be at least as accurate, and require the same computational effort, as earlier techniques, with the added bonus that the standard /spl mu/ upper bound is convex. Moreover this new approach is applicable in a much more general setting, allowing one to efficiently compute both robust stability and robust performance for problems involving multiple real and complex uncertainty blocks, any number of which may be full-structured.
Starting Page	3464
Ending Page	3469
File Size	540852
Page Count	6
File Format	PDF
ISBN	0780335902
ISSN	01912216
DOI	10.1109/CDC.1996.573697
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-12-13
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robustness Uncertainty Robust stability Explosions Performance analysis Linear systems Feedback Standards development
Content Type	Text
Resource Type	Article

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