Skip to main navigation Skip to search Skip to main content

Solutions to the positive real control problem for linear systems via reduced-order observer

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

Abstract

The problem of rendering a transfer function strictly positive real using reduced-order observer is studied in this paper. It is shown that the problem always has a solution that is parameterized by a stabilizing feedback gain K and a positive de.nite matrix PK satisfying certain Lyapunov matrix equation. In addition, the resultant positive real transfer function is explicitly obtained and has the property that its ℋ norm can be made arbitrary small if K and PK are properly chosen. The results are illustrated with some examples.

Original languageEnglish
Title of host publicationProceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4628-4632
Number of pages5
ISBN (Print)9781424421145
DOIs
StatePublished - 2008
Event7th World Congress on Intelligent Control and Automation, WCICA'08 - Chongqing, China
Duration: 25 Jun 200827 Jun 2008

Publication series

NameProceedings of the World Congress on Intelligent Control and Automation (WCICA)

Conference

Conference7th World Congress on Intelligent Control and Automation, WCICA'08
Country/TerritoryChina
CityChongqing
Period25/06/0827/06/08

Keywords

  • Kalman-Yakubovich-Oopov lemma
  • Lyapunov equation
  • Positive real
  • Reduced-order observer

Fingerprint

Dive into the research topics of 'Solutions to the positive real control problem for linear systems via reduced-order observer'. Together they form a unique fingerprint.

Cite this