NDLI: Decentralized control of linear time-varying nested systems with ℌ∞-type performance

Content Provider	IEEE Xplore Digital Library
Author	Mishra, A. Langbort, C. Dullerud, G.E.
Copyright Year	2014
Description	Author affiliation: Coordinated Sci. Lab., Univ. of Illinois, Urbana, IL, USA (Mishra, A.; Langbort, C.; Dullerud, G.E.)
Abstract	This paper considers the decentralized control of a nested linear time-varying (LTV) discrete-time system using a nested LTV controller for an $ℓ_{2}-induced$ norm performance criteria. An operator theoretic approach is used to obtain exact conditions for the feasibility of structured linear controller synthesis. These include conditions for the completion of scaling matrices obtained through an updated matrix completion lemma. When individual controller dimensions are chosen at least as large as the plant, these conditions reduce to convex inequalities coupled over time. The completion lemma also provides an algorithm to complete the closed loop scaling matrices leading to inequalities for controller synthesis.
Starting Page	5174
Ending Page	5179
File Size	384660
Page Count	6
File Format	PDF
ISBN	9781479932726
ISSN	07431619
e-ISBN	9781479932740
DOI	10.1109/ACC.2014.6859375
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-06-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Linear matrix inequalities Decentralized control Symmetric matrices Tin Closed loop systems Time-varying systems Aerospace electronics LMIs
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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