A Structured Linear Quadratic Controller for Transportation Problems
(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:
https://lup.lub.lu.se/record/e94f29a1-916e-472f-808f-c31e63055ab0
- author
- Heyden, Martin LU ; Pates, Richard LU and Rantzer, Anders LU
- organization
- publishing date
- 2018-06-12
- 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
- 2023-10-20 09:31:47
@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}}, }