The Size of the Membership Set in the Presence of Disturbance and Parameter Uncertainty

W Kitamura; Y Fujisaki; Er-Wei Bai

doi:10.1109/CDC.2005.1583071

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Conference proceeding

The Size of the Membership Set in the Presence of Disturbance and Parameter Uncertainty

W Kitamura, Y Fujisaki and Er-Wei Bai

Proceedings of the 44th IEEE Conference on Decision and Control, Vol.2005, pp.5698-5703

2005

DOI: 10.1109/CDC.2005.1583071

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Abstract

The size of the membership set is analyzed probabilistically in the presence of not only bounded disturbance but also l 2 bounded parameter uncertainty. Especially, the diameter of the membership set is estimated with a probabilistic confidence for a finite number of samples, where the regressor is assumed to be persistently exciting and the disturbance and the parameter uncertainty are assumed to be random variables. It is also shown that, under the same assumptions, the diameter converges to zero as the number of samples tends to infinity.

Additive noise

Application software

H infinity control

Machinery

Noise level

Random variables

Stochastic processes

Stochastic systems

Uncertain systems

Upper bound

Details

Title: Subtitle: The Size of the Membership Set in the Presence of Disturbance and Parameter Uncertainty
Creators: W Kitamura - Murata Machinery
Y Fujisaki
Er-Wei Bai
Resource Type: Conference proceeding
Publication Details: Proceedings of the 44th IEEE Conference on Decision and Control, Vol.2005, pp.5698-5703
Publisher: IEEE
DOI: 10.1109/CDC.2005.1583071
ISSN: 0191-2216
Language: English
Date published: 2005
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984197435402771

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