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Semi-plenary at CDC08: Distributed Control using Decompositions and Games

Rantzer, Anders LU orcid (2008)
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Department of Automatic Control, Lund Institute of Technology, Lund University
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Abstract Many control applications have a decentralized structure, where each subunit has access to different information about the system state. Still, most control theory has been developed in a centralized setting, where all measurements are processed together to compute the control signals. This paradigm has conceptual advantages, but also inherent limitations in terms of complexity and integrity. The purpose of this lecture is to show how ideas from convex optimization and game theory may help to go beyond the traditional paradigm to support analysis and synthesis of distributed controllers. In particular, we will reconsider well established methods for decomposition of large scale optimization problems by introduction of dual variables. These can be interpreted as prices in a market mechanism serving to achieve mutual agreement between different subproblems. The same idea can be used for decomposition of large scale control systems, with dynamics in both decision variables and prices. The dynamics bring interesting new phenomena. For example, expected future prices could be highly relevant for todays decisions. Decomposition using price mechanisms is closely connected to game theory. A large-scale control system can be viewed as a game involving two types of players; subunits optimizing their local control action in response to prices, and intermediate players adjusting the prices to counteract disagreements between neighboring subunits. The game can be analysed under appropriate convexity assumptions and there is a close connection to the theory of potential games. Links Much of this lecture is documented in paper submitted for ACC09. http://www.control.lth.se/database/publications/article.pike?artkey=ran09
id
437f68e3-bfe7-440f-b472-eda64c0f3d58 (old id 8862439)
date added to LUP
2016-04-04 10:22:12
date last changed
2018-11-21 20:58:21
@misc{437f68e3-bfe7-440f-b472-eda64c0f3d58,
  author       = {{Rantzer, Anders}},
  language     = {{eng}},
  publisher    = {{Department of Automatic Control, Lund Institute of Technology, Lund University}},
  title        = {{Semi-plenary at CDC08: Distributed Control using Decompositions and Games}},
  url          = {{https://lup.lub.lu.se/search/files/5522678/8862440.pdf}},
  year         = {{2008}},
}