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Teaching linear-quadratic optimal control to undergraduate students

  • California State University Los Angeles

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

In this paper we show that the solution to a dynamic optimization problem: optimize an integral quadratic performance criterion along trajectories of a linear dynamic system over an infinite time period (steady-state linear-quadratic optimal controller) can be solved using elementary mathematics as a static optimization problem. The derivations require only a basic (undergraduate) usage of linear algebra and state space linear system analysis. Having full understanding of derivations of the linear-quadratic optimal controller, students and engineers will feel confident to use these controllers in numerous engineering and scientific applications.

Original languageEnglish
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
PublisherIEEE Computer Society
Pages378-383
Number of pages6
ISBN (Print)9781424474264
DOIs
StatePublished - 2010
Externally publishedYes

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

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