Connection between viability theory and l1-optimal control

Jeff S. Shamma*

*Corresponding author for this work

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

Abstract

This paper considers l1 optimal control problems with full state feedback. In contrast to HINF optimal control, previous work has shown that linear l1 optimal controllers can be dynamics and of arbitrarily high order. However, this paper shows that continuous memory less nonlinear state feedback performs as well as dynamics linear state feedback. The derivation, which is non-constructive, relies on concepts from viability theory.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
PublisherPubl by IEEE
Pages2169-2170
Number of pages2
Volume3
ISBN (Print)0780312988
StatePublished - 1993
Externally publishedYes
EventProceedings of the 32nd IEEE Conference on Decision and Control. Part 3 (of 4) - San Antonio, TX, USA
Duration: Dec 15 1993Dec 17 1993

Other

OtherProceedings of the 32nd IEEE Conference on Decision and Control. Part 3 (of 4)
CitySan Antonio, TX, USA
Period12/15/9312/17/93

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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