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Sub-Optimality Bound on a Gradient Method for Iterative Distributed Control Synthesis

Mårtensson, Karl LU and Rantzer, Anders LU orcid (2010) 19th International Symposium on Mathematical Theory of Networks and Systems, 2010
Abstract
A previous paper introduced an online gradient method to iteratively update local controllers for improved performance. In this paper we modify that method to get an offline method for distributed control synthesis. The complexity of the method is linear in the number of neighbors to each agent.



Since the controllers are constructed to be distributed and the method is an iterative scheme, the controllers will always be sub-optimal compared to a centralized controller. We describe a method to calculate bounds of the sub-optimality of the controllers, using the same variables that take part in the update scheme.
Please use this url to cite or link to this publication:
author
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organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
sub-optimality bounds, distributed control, control synthesis
conference name
19th International Symposium on Mathematical Theory of Networks and Systems, 2010
conference location
Budapest, Hungary
conference dates
2010-07-05 - 2010-07-09
language
English
LU publication?
yes
id
72f80184-f31b-4c57-a66d-998f303af639 (old id 1759722)
date added to LUP
2016-04-04 14:39:42
date last changed
2025-04-04 14:36:02
@misc{72f80184-f31b-4c57-a66d-998f303af639,
  abstract     = {{A previous paper introduced an online gradient method to iteratively update local controllers for improved performance. In this paper we modify that method to get an offline method for distributed control synthesis. The complexity of the method is linear in the number of neighbors to each agent.<br/><br>
<br/><br>
Since the controllers are constructed to be distributed and the method is an iterative scheme, the controllers will always be sub-optimal compared to a centralized controller. We describe a method to calculate bounds of the sub-optimality of the controllers, using the same variables that take part in the update scheme.}},
  author       = {{Mårtensson, Karl and Rantzer, Anders}},
  keywords     = {{sub-optimality bounds; distributed control; control synthesis}},
  language     = {{eng}},
  title        = {{Sub-Optimality Bound on a Gradient Method for Iterative Distributed Control Synthesis}},
  url          = {{https://lup.lub.lu.se/search/files/6411460/8168832.pdf}},
  year         = {{2010}},
}