NDLI: Identification and Control: Joint Input Design and H∞State Feedback with Ellipsoidal Parametric Uncertainty

Content Provider	IEEE Xplore Digital Library
Author	Barenthin, M. Hjalmarsson, H.
Copyright Year	2005
Description	Author affiliation: Department of signals, Sensors and Systems, KTH, SE 100 44 Stockholm, Sweden marta.barenthin@s3.kth.se (Barenthin, M.)
Abstract	One obstacle in connecting robust control with models generated from prediction error identification is that very few control design methods are able to directly cope with the ellipsoidal parametric uncertainty regions that are generated by such identification methods. In this contribution we present a sufficient condition for the existence of a H∞state feedback controller for the multi-input/single-output case which accomodates for ellipsoidal parametric uncertainty. The condition takes the form of a linear matrix inequality whose solution also provides a set of valid feedback gains. The model class considered corresponds to systems with known poles but uncertain zero locations. A second important contribution of the paper is to integrate the input design problem in system identification with this control synthesis method. This means that given H∞specifications on the closed loop transfer function are translated into the requirements on the input signal spectrum used to identify the process so that the ellipsoidal model uncertainty resulting from model identification using this input spectrum will be shaped such that the control specifications are satisfied for all models in the uncertainty set and hence guaranteed for the true system. The procedures are illustrated on a numerical example.
Starting Page	6454
Ending Page	6459
File Size	281026
Page Count	6
File Format	PDF
ISBN	0780395670
DOI	10.1109/CDC.2005.1583197
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-15
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	IEEE/EUCA
Subject Keyword	Uncertainty Joining processes Robust control Predictive models Error correction Control design Sufficient conditions State feedback Linear matrix inequalities Poles and zeros input design system identification control design ellipsoidal uncertainty set
Content Type	Text
Resource Type	Article

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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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