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A Structured Linear Quadratic Controller for Transportation Problems

Heyden, Martin LU ; Pates, Richard LU and Rantzer, Anders LU (2018)
Abstract
We study a linear quadratic control problem for transportation optimization on a directed line graph. We show that the solution to the Riccati equation associated with this problem is highly structured. The feedback law is almost upper triangular, and the synthesis of the feedback law is given by a recursion, making it scalable. The structure of the feedback law also allows for an efficient realization of the controller using a local communication scheme.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2018 European Control Conference
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85059810822
DOI
10.23919/ECC.2018.8550325
project
Structured Controllers for Transportation
language
English
LU publication?
yes
id
e94f29a1-916e-472f-808f-c31e63055ab0
date added to LUP
2018-09-07 11:28:23
date last changed
2021-09-29 04:42:34
@inproceedings{e94f29a1-916e-472f-808f-c31e63055ab0,
  abstract     = {We study a linear quadratic control problem for transportation optimization on a directed line graph. We show that the solution to the Riccati equation associated with this problem is highly structured. The feedback law is almost upper triangular, and the synthesis of the feedback law is given by a recursion, making it scalable. The structure of the feedback law also allows for an efficient realization of the controller using a local communication scheme.},
  author       = {Heyden, Martin and Pates, Richard and Rantzer, Anders},
  booktitle    = {2018 European Control Conference},
  language     = {eng},
  month        = {06},
  publisher    = {IEEE - Institute of Electrical and Electronics Engineers Inc.},
  title        = {A Structured Linear Quadratic Controller for Transportation Problems},
  url          = {https://lup.lub.lu.se/search/files/50755907/heyden_ecc.pdf},
  doi          = {10.23919/ECC.2018.8550325},
  year         = {2018},
}