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Using Game Theory for Distributed Control Engineering

Rantzer, Anders LU (2008) In Report TFRT 7620.
Abstract
The purpose of this paper is to show how ideas from game theory and economics may play an important role for decentralized controller design in complex engineering systems. The focus is on coordination through prices and iterative price adjustments using a gradient method. We give a quantitative bound on adjustment rates that is sufficient to guarantee global convergence towards a Nash equilibrium of control strategies. The equilibrium is an optimal solution to the corresponding team decision problem, where a distributed set of controllers cooperate to optimize a common objective. The method is illustrated on control of a vehicle formation (e.g. automobiles on the road) where the objective is to maintain desired vehicle distances in... (More)
The purpose of this paper is to show how ideas from game theory and economics may play an important role for decentralized controller design in complex engineering systems. The focus is on coordination through prices and iterative price adjustments using a gradient method. We give a quantitative bound on adjustment rates that is sufficient to guarantee global convergence towards a Nash equilibrium of control strategies. The equilibrium is an optimal solution to the corresponding team decision problem, where a distributed set of controllers cooperate to optimize a common objective. The method is illustrated on control of a vehicle formation (e.g. automobiles on the road) where the objective is to maintain desired vehicle distances in presence of disturbances. (Less)
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author
organization
publishing date
type
Book/Report
publication status
published
subject
keywords
team decision problems, potential games, distributed control
in
Report TFRT
volume
7620
publisher
Department of Automatic Control, Lund Institute of Technology, Lund University
ISSN
0280-5316
language
English
LU publication?
yes
id
9610e38b-dac0-4960-9c89-bf9e880287e3 (old id 8602586)
date added to LUP
2016-02-15 12:02:39
date last changed
2016-04-16 01:42:07
@techreport{9610e38b-dac0-4960-9c89-bf9e880287e3,
  abstract     = {The purpose of this paper is to show how ideas from game theory and economics may play an important role for decentralized controller design in complex engineering systems. The focus is on coordination through prices and iterative price adjustments using a gradient method. We give a quantitative bound on adjustment rates that is sufficient to guarantee global convergence towards a Nash equilibrium of control strategies. The equilibrium is an optimal solution to the corresponding team decision problem, where a distributed set of controllers cooperate to optimize a common objective. The method is illustrated on control of a vehicle formation (e.g. automobiles on the road) where the objective is to maintain desired vehicle distances in presence of disturbances.},
  author       = {Rantzer, Anders},
  institution  = {Department of Automatic Control, Lund Institute of Technology, Lund University},
  issn         = {0280-5316},
  keyword      = {team decision problems,potential games,distributed control},
  language     = {eng},
  series       = {Report TFRT},
  title        = {Using Game Theory for Distributed Control Engineering},
  volume       = {7620},
  year         = {2008},
}