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Stabilization of LFT systems

Lu, Way M. and Zhou, Kemin and Doyle, John C. (1991) Stabilization of LFT systems. In: 30th IEEE Conference on Decision and Control. Vol.2. IEEE , Piscataway, NJ, pp. 1239-1244. ISBN 9780780304505. https://resolver.caltech.edu/CaltechAUTHORS:20190315-095540812

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Abstract

The problem of parametrizing all stabilizing controllers for general linear fractional transformation (LFT) systems is studied. The LFT systems can be variously interpreted as multidimensional systems or uncertain systems, and the controller is allowed to have the same dependence on the frequency/uncertainty structure as the plant. For multidimensional systems, this means that the controller is allowed dynamic feedback, while the uncertain system case can be given a gain scheduling interpretation. Both mu and Q stability are considered, although the latter is emphasized. In both cases, the output feedback problem is reduced by a separation argument to two simpler problems, involving the dual problems of full information and full control. For Q stability, these problems can be characterized completely in terms of linear matrix inequalities. In the standard 1D system case with no uncertainty, the results in the present work reduce to the standard parametrization of D.C. Youla, H.A. Jabr and J.J. Bongiorno (1976), although the development appears to be much simpler, and does not require coprime factorizations.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.1991.261575DOIArticle
ORCID:
AuthorORCID
Doyle, John C.0000-0002-1828-2486
Additional Information:© 1991 IEEE.
Record Number:CaltechAUTHORS:20190315-095540812
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190315-095540812
Official Citation:W. M. Lu, K. Zhou and J. C. Doyle, "Stabilization of LFT systems," [1991] Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, UK, 1991, pp. 1239-1244 vol.2. doi: 10.1109/CDC.1991.261575
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93859
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Mar 2019 17:03
Last Modified:03 Oct 2019 20:58

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