Optimal distributed controllers realizable over any arbitrary delay Networks

Andalam Satya Mohan Vamsi, Nicola Elia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish (US)
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages7746-7751
Number of pages6
ISBN (Print)9781467357173
DOIs
StatePublished - Jan 1 2013
Externally publishedYes
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: Dec 10 2013Dec 13 2013

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period12/10/1312/13/13

Fingerprint

Controller
Controllers
Arbitrary
Convex optimization
Realizability
Transfer functions
Structural properties
Convex Optimization
Parametrization
Structural Properties
Transfer Function
Closed-loop
System Design
Control Problem
Subsystem
Optimization Problem
Norm

Cite this

Vamsi, A. S. M., & Elia, N. (2013). Optimal distributed controllers realizable over any arbitrary delay Networks. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 7746-7751). [6761119] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6761119

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 proceedingConference contribution

Vamsi, ASM & Elia, N 2013, Optimal distributed controllers realizable over any arbitrary delay Networks. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6761119, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 7746-7751, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 12/10/13. https://doi.org/10.1109/CDC.2013.6761119
Vamsi ASM, Elia N. Optimal distributed controllers realizable over any arbitrary delay Networks. In 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). https://doi.org/10.1109/CDC.2013.6761119
Vamsi, Andalam Satya Mohan ; Elia, Nicola. / Optimal distributed controllers realizable over any arbitrary delay Networks. 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. pp. 7746-7751 (Proceedings of the IEEE Conference on Decision and Control).
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