A Structured Linear Quadratic Controller for Transportation Problems

Martin Heyden; Richard Pates; Anders Rantzer

doi:10.23919/ECC.2018.8550325

A Structured Linear Quadratic Controller for Transportation Problems

Martin Heyden, Richard Pates, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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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.

Original language	English
Title of host publication	2018 European Control Conference
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
DOIs	https://doi.org/10.23919/ECC.2018.8550325
Publication status	Published - 2018 Jun 12

Subject classification (UKÄ)

Control Engineering

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10.23919/ECC.2018.8550325

Heyden_ECC2018Accepted author manuscript, 150 KB

Structured Controllers for Transportation
Heyden, M., Pates, R. & Rantzer, A.
2016/10/11 → 2022/01/31
Project: Dissertation

Cite this

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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.",

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AB - 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.

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DO - 10.23919/ECC.2018.8550325

M3 - Paper in conference proceeding

BT - 2018 European Control Conference

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

ER -

A Structured Linear Quadratic Controller for Transportation Problems

Abstract

Subject classification (UKÄ)

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Projects

Structured Controllers for Transportation

Cite this