A Structured Linear Quadratic Controller for Transportation Problems

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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 languageEnglish
Title of host publication2018 European Control Conference
PublisherIEEE - Institute of Electrical and Electronics Engineers Inc.
DOIs
Publication statusPublished - 2018 Jun 12

Subject classification (UKÄ)

  • Control Engineering

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