On the probabilistic characterization of model uncertainty and robustness

This paper considers the probabilistic characterization of model uncertainties and stability robustness on the Nyquist diagram. For any given /spl epsi/>0, any frequency /spl omega/, we describe the boundary of a domain D/sub /spl epsi/,/spl omega// such that the frequency response of an uncertai...

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Bibliographic Details
Published inProceedings of the 36th IEEE Conference on Decision and Control Vol. 4; pp. 3816 - 3821 vol.4
Main Authors Xinjia Chen, Kemin Zhou
Format Conference Proceeding
LanguageEnglish
Published IEEE 1997
Subjects
Control system synthesis
Frequency estimation
Frequency response
Monte Carlo methods
Probability distribution
Robust control
Robust stability
Robustness
Uncertain systems
Uncertainty
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ISBN0780341872
9780780341876
ISSN0191-2216
DOI10.1109/CDC.1997.652455

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Summary:This paper considers the probabilistic characterization of model uncertainties and stability robustness on the Nyquist diagram. For any given /spl epsi/>0, any frequency /spl omega/, we describe the boundary of a domain D/sub /spl epsi/,/spl omega// such that the frequency response of an uncertain plant at that frequency /spl omega/ is guaranteed in the domain with a probability of at least 1-/spl epsiv/ where /spl epsiv//spl les//spl epsi/ is a function of /spl epsi/ and frequency /spl omega/ and a upper bound of /spl epsiv/ can be estimated easily. Then, by analyzing the evolution of the boundary of D/sub /spl epsi/,/spl omega// as a function of the frequency /spl omega/, a combined curve C is constructed such that it includes the boundary of a domain D/sub /spl epsi// covering the Nyquist plot with a probability of at least 1-/spl epsiv/ for a range of frequencies.
ISBN:0780341872
9780780341876
ISSN:0191-2216
DOI:10.1109/CDC.1997.652455