An LPV approach to the guaranteed cost control for Lur'e systems

S. M. Lee, O. M. Kwon, Ho Youl Jung, Ju H. Park

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

2 Scopus citations

Abstract

In this paper, we consider the guaranteed cost control problem of Lur'e systems which are represented by linear parameter varying (LPV) systems. Sector bounds and slope bounds are employed to a augmented Lyapunov functional through convex representation of the nonlinearities so that new less conservative conditions are obtained. The stabilization crite- ria are derived via linear matrix inequality (LMI) formulation that can be easily solved by convex optimization techniques. Numerical example shows effectiveness of the proposed stability condition over some existing ones.

Original languageEnglish
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
PublisherIEEE Computer Society
Pages3860-3864
Number of pages5
ISBN (Print)9781424474264
DOIs
StatePublished - 2010

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

Keywords

  • Linear parameter varying
  • LMIs
  • Lur'e systems
  • Lyapunov function

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