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...
Saved in:
Published in | arXiv.org |
---|---|
Main Authors | , |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
12.03.2018
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
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 |