NDLI: On the Nearest Quadratically Invariant Information Constraint

Content Provider	IEEE Xplore Digital Library
Author	Rotkowitz, M.C. Martins, N.C.
Copyright Year	1963
Abstract	Quadratic invariance is a condition which has been shown to allow for optimal decentralized control problems to be cast as convex optimization problems. The condition relates the constraints that the decentralization imposes on the controller to the structure of the plant. In this technical note, we consider the problem of finding the closest subset and superset of the decentralization constraint which are quadratically invariant when the original problem is not. We show that this can itself be cast as a convex problem for the case where the controller is subject to delay constraints between subsystems, but that this fails when we only consider sparsity constraints on the controller. For that case, we develop an algorithm that finds the closest superset in a fixed number of steps, and discuss methods of finding a close subset.
Sponsorship	IEEE Control Systems Society
Starting Page	1314
Ending Page	1319
Page Count	6
File Size	236984
File Format	PDF
ISSN	00189286
Volume Number	57
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-05-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Delay Distributed control Algebra Convex functions Propagation delay Transfer functions Optimal control quadratic invariance Decentralized control linear fractional transformation (LFT)
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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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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