NDLI: Computing optimal uncertainty models from frequency domain data

Content Provider	IEEE Xplore Digital Library
Author	Hindi, H. Chang-Yun Seong Boyd, S.
Copyright Year	2002
Description	Author affiliation: Inf. Syst. Lab., Stanford Univ., CA, USA (Hindi, H.; Chang-Yun Seong; Boyd, S.)
Abstract	Uncertainty models are an essential ingredient in robust control design. In addition, because of the trade-off between uncertainty and performance, the uncertainty model should be as "tight" as possible. Given a set of multivariable frequency response measurements, we show that the computation of multivariable nonparametric uncertainty models which are consistent with the data (i.e. not invalidated), reduces to a linear matrix inequality feasibility problem. Our method simultaneously searches for the responses of both the nominal system and the uncertainty weights that give an optimal uncertainty model. We then show that computing the optimal or least conservative model for the data can be done using semidefinite programming. Noise and fitting errors are explicitly factored into the computation using a bounded set approach. A state space uncertainty model can then be obtained from the optimal nonparametric model using frequency domain subspace identification techniques. The proposed technique is demonstrated on a generic MIMO example, where it outperforms the average-based approach by almost a factor of two (5 dB), in the frequency range with largest uncertainty.
Sponsorship	IEEE Control Syst. Soc
Starting Page	2898
Ending Page	2905
File Size	530013
Page Count	8
File Format	PDF
ISBN	0780375165
ISSN	01912216
DOI	10.1109/CDC.2002.1184290
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Uncertainty Frequency measurement Frequency response Control design Error correction Transfer functions Noise measurement Robust control State-space methods Frequency domain analysis
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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