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A Decomposition Result in Linear-Quadratic Coordinated Control

Madjidian, Daria LU (2014) 19th IFAC World Congress, 2014
Abstract
Scalability is a fundamental requirement in control design for large-scale systems. Typically, it needs to be considered explicitly at the expense of performance degradation and more complicated design procedures. In this paper, we present a class of large scale systems where scalability is an inherent property of the optimal centralized solution. More specifically, we study a coordination problem where a group of identical subsystems are required to satisfy an equality constraint on the sum of their inputs. We show that the problem can be completely decomposed in terms of the unconstrained problems associated with each subsystem. In particular, the computational effort required to obtain the optimal solution is independent of the number... (More)
Scalability is a fundamental requirement in control design for large-scale systems. Typically, it needs to be considered explicitly at the expense of performance degradation and more complicated design procedures. In this paper, we present a class of large scale systems where scalability is an inherent property of the optimal centralized solution. More specifically, we study a coordination problem where a group of identical subsystems are required to satisfy an equality constraint on the sum of their inputs. We show that the problem can be completely decomposed in terms of the unconstrained problems associated with each subsystem. In particular, the computational effort required to obtain the optimal solution is independent of the number of subsystems and the only global information processing required to execute the optimal control law is a simple summation, which scales well when the number of subsystems grows large. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to conference
publication status
in press
subject
keywords
Large scale systems, distributed control, coordinated control, constrained control, linear systems, optimal control.
conference name
19th IFAC World Congress, 2014
project
AEOLUS
LCCC
language
English
LU publication?
yes
id
48c7c68c-5e12-4a5f-ab06-1ccd6e52a38a (old id 4362641)
date added to LUP
2014-03-30 14:10:57
date last changed
2016-06-27 12:58:33
@misc{48c7c68c-5e12-4a5f-ab06-1ccd6e52a38a,
  abstract     = {Scalability is a fundamental requirement in control design for large-scale systems. Typically, it needs to be considered explicitly at the expense of performance degradation and more complicated design procedures. In this paper, we present a class of large scale systems where scalability is an inherent property of the optimal centralized solution. More specifically, we study a coordination problem where a group of identical subsystems are required to satisfy an equality constraint on the sum of their inputs. We show that the problem can be completely decomposed in terms of the unconstrained problems associated with each subsystem. In particular, the computational effort required to obtain the optimal solution is independent of the number of subsystems and the only global information processing required to execute the optimal control law is a simple summation, which scales well when the number of subsystems grows large.},
  author       = {Madjidian, Daria},
  keyword      = {Large scale systems,distributed control,coordinated control,constrained control,linear systems,optimal control.},
  language     = {eng},
  title        = {A Decomposition Result in Linear-Quadratic Coordinated Control},
  year         = {2014},
}