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Review of LFTs, LMIs, and muThe authors present a tutorial overview of linear fractional transformations (LFTs) and the role of the structured singular value, mu, and linear matrix inequalities (LMIs) in solving LFT problems. The authors first introduce the notation for LFTs and briefly discuss some of their properties. They then describe mu and its connections with LFTs. They focus on two standard notions of robust stability and performance, mu stability and performance and Q stability and performance, and their relationship is discussed. Comparisons with the L1 theory of robust performance with structured uncertainty are considered.
Document ID
19930029065
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Doyle, John
(California Inst. of Technology Pasadena, United States)
Packard, Andy
(California Univ. Berkeley, United States)
Zhou, Kemin
(Louisiana State Univ. Baton Rouge, United States)
Date Acquired
August 15, 2013
Publication Date
January 1, 1991
Publication Information
Publication: In: IEEE Conference on Decision and Control, 30th, Brighton, United Kingdom, Dec. 11-13, 1991, Proceedings. Vol. 2 (A93-13001 02-63)
Publisher: Institute of Electrical and Electronics Engineers, Inc.
Subject Category
Cybernetics
Accession Number
93A13062
Distribution Limits
Public
Copyright
Other

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