Singular LQR optimal control of DAEs: A feedback solution

Imrul Qais, Chayan Bhawal, Debasattam Pal*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

This work deals with the singular linear quadratic regulator (LQR) problems for systems that are described by differential-algebraic equations (DAEs). We establish a necessary and sufficient condition for such a problem to be solvable. Then, we show that for such systems, the singular LQR problem can be solved using a proportional-derivative (PD) state-feedback controller whenever the necessary and sufficient condition is satisfied.

Original languageEnglish
Article number112060
Number of pages8
JournalAutomatica
Volume173
DOIs
Publication statusPublished - 2025

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

  • DAE
  • Hamiltonian systems
  • Singular LQR problem

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