Abstract
We study the notion of network realizability which is the property of a system to be expressed as sub-systems interacting over a given network. In this paper, we consider the problem of finding an optimal network-realizable controller that can stabilize a networked plant while minimizing the H 2 norm of the closed-loop transfer function under the constraint that both plant and controller are linear networked systems interacting over a given directed delay network. We extend the notion of network realizability from [1], [2] to systems over a broader class of delay networks and analyze the structure of network realizable systems. Using these structural properties, we characterize the set of all stabilizing controllers that are realizable over the given delay network using the Youla parametrization. The H2 control problem is then cast as a convex optimization problem and its solution is shown to provide the optimal distributed controller over the given delay network. The results of this paper allow one to model, analyze and design systems over arbitrary directed delay networks.
| Original language | English (US) |
|---|---|
| Title of host publication | 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 7746-7751 |
| Number of pages | 6 |
| ISBN (Print) | 9781467357173 |
| DOIs | |
| State | Published - Jan 1 2013 |
| Externally published | Yes |
| Event | 52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy Duration: Dec 10 2013 → Dec 13 2013 |
Publication series
| Name | Proceedings of the IEEE Conference on Decision and Control |
|---|---|
| ISSN (Print) | 0191-2216 |
Other
| Other | 52nd IEEE Conference on Decision and Control, CDC 2013 |
|---|---|
| Country | Italy |
| City | Florence |
| Period | 12/10/13 → 12/13/13 |
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Cite this
Optimal distributed controllers realizable over any arbitrary delay Networks. / Vamsi, Andalam Satya Mohan; Elia, Nicola.
2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 7746-7751 6761119 (Proceedings of the IEEE Conference on Decision and Control).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Optimal distributed controllers realizable over any arbitrary delay Networks
AU - Vamsi, Andalam Satya Mohan
AU - Elia, Nicola
PY - 2013/1/1
Y1 - 2013/1/1
N2 - We study the notion of network realizability which is the property of a system to be expressed as sub-systems interacting over a given network. In this paper, we consider the problem of finding an optimal network-realizable controller that can stabilize a networked plant while minimizing the H 2 norm of the closed-loop transfer function under the constraint that both plant and controller are linear networked systems interacting over a given directed delay network. We extend the notion of network realizability from [1], [2] to systems over a broader class of delay networks and analyze the structure of network realizable systems. Using these structural properties, we characterize the set of all stabilizing controllers that are realizable over the given delay network using the Youla parametrization. The H2 control problem is then cast as a convex optimization problem and its solution is shown to provide the optimal distributed controller over the given delay network. The results of this paper allow one to model, analyze and design systems over arbitrary directed delay networks.
AB - We study the notion of network realizability which is the property of a system to be expressed as sub-systems interacting over a given network. In this paper, we consider the problem of finding an optimal network-realizable controller that can stabilize a networked plant while minimizing the H 2 norm of the closed-loop transfer function under the constraint that both plant and controller are linear networked systems interacting over a given directed delay network. We extend the notion of network realizability from [1], [2] to systems over a broader class of delay networks and analyze the structure of network realizable systems. Using these structural properties, we characterize the set of all stabilizing controllers that are realizable over the given delay network using the Youla parametrization. The H2 control problem is then cast as a convex optimization problem and its solution is shown to provide the optimal distributed controller over the given delay network. The results of this paper allow one to model, analyze and design systems over arbitrary directed delay networks.
UR - http://www.scopus.com/inward/record.url?scp=84902336463&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84902336463&partnerID=8YFLogxK
U2 - 10.1109/CDC.2013.6761119
DO - 10.1109/CDC.2013.6761119
M3 - Conference contribution
AN - SCOPUS:84902336463
SN - 9781467357173
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 7746
EP - 7751
BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PB - Institute of Electrical and Electronics Engineers Inc.
ER -