Optimal \(H_2\) Decentralized Control of Cone Causal Spatially Invariant Systems

This paper presents an explicit solution to decentralized control of a class of spatially invariant systems. The problem of optimal \(H_2\) decentralized control for cone causal systems is formulated. Using Parseval's identity, the optimal \(H_2\) decentralized control problem is transformed in...

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Bibliographic Details
Published inarXiv.org
Main Authors M Ehsan Raoufat, Djouadi, Seddik M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 12.03.2018
Subjects
Control systems
Controllers
Decentralized control
Economic models
Invariants
Mathematical models
Model matching
Positive feedback
State space models
Supply chains
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Summary:This paper presents an explicit solution to decentralized control of a class of spatially invariant systems. The problem of optimal \(H_2\) decentralized control for cone causal systems is formulated. Using Parseval's identity, the optimal \(H_2\) decentralized control problem is transformed into an infinite number of model matching problems with a specific structure that can be solved efficiently. In addition, the closed-form expression (explicit formula) of the decentralized controller is derived for the first time. In particular, it is shown that the optimal decentralized controller is given by a specific positive feedback scheme. A constructive procedure to obtain the state-space representation of the decentralized controller is provided. A numerical example is given and compared with previous works which demonstrate the effectiveness of the proposed method.
ISSN:2331-8422