2003年

# Convergence Properties of the Membership Set in the Presence of Disturbance and Parameter Uncertainty

• KITAMURA Wataru
• ,
• FUJISAKI Yasumasa

39
4

382

387

DOI
10.9746/sicetr1965.39.382

The Society of Instrument and Control Engineers

The size of the membership set is investigated in the presence of bounded disturbance and l2 bounded parameter uncertainty. A tight upper bound of the diameter of the membership set is derived in a deterministic setting, which indicates that the diameter does not converge to zero in general. Then, a probabilistic upper bound of the diameter is derived in a stochastic setting, where the disturbance and the parameter uncertainty are assumed to be random variables and to take a value near the worst ones with a probability. This probabilistic bound leads to the fact that the diameter converges to zero with probability one as the number of samples tends to infinity.

リンク情報
DOI
https://doi.org/10.9746/sicetr1965.39.382
CiNii Articles
http://ci.nii.ac.jp/naid/130003791837
URL
https://jlc.jst.go.jp/DN/JALC/00182539459?from=CiNii
ID情報
• DOI : 10.9746/sicetr1965.39.382
• ISSN : 0453-4654
• CiNii Articles ID : 130003791837

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