Sufficient condition for stability of decentralized control feedback structures

We consider the problem of achieving stability for large-scale systems by decentralized diagonal control feedback structures. For this problem, a sufficient condition is proposed such that by satisfying this condition, overall stability of a large scale system is guaranteed by a decentralized diagon...

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Bibliographic Details
Published inProceedings of the 36th IEEE Conference on Decision and Control Vol. 3; pp. 2621 - 2622 vol.3
Main Authors Abrishamchian, M., Kazemi, M.H.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1997
Subjects
Centralized control
Control systems
Distributed control
Economic indicators
Erbium
Large-scale systems
Linear feedback control systems
Sufficient conditions
Thermal stability
Transfer functions
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ISBN0780341872
9780780341876
ISSN0191-2216
DOI10.1109/CDC.1997.657773

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Summary:We consider the problem of achieving stability for large-scale systems by decentralized diagonal control feedback structures. For this problem, a sufficient condition is proposed such that by satisfying this condition, overall stability of a large scale system is guaranteed by a decentralized diagonal controller; this controller is obtained from the set of controllers stabilizing the system consisting of the diagonal entries of the original system. More specifically, our sufficient condition is in terms of the H/sup /spl infin// norm of the closed loop diagonal transfer function matrix and the structured singular value (/spl mu/) of the off-diagonal state matrix of the system. Furthermore, by an example, we show that our sufficient condition is less conservative than the one proposed by Grosdidier and Morari (1986).
ISBN:0780341872
9780780341876
ISSN:0191-2216
DOI:10.1109/CDC.1997.657773