Robustness analysis of uncertain discrete-time linear systems based on system lifting and LMIs

Yoshio Ebihara, D. Peaucelle, D. Arzelier

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, we propose novel LMI conditions for the stability and l2 gain performance analysis of discretetime linear periodically time-varying (LPTV) systems. These LMIs are convex with respect to all of the coefficient matrices of the LPTV systems and this property is expected to be promising when dealing with several control system analysis and synthesis problems. For example, we can apply those LMIs straightforwadly to robust performance analysis problems of LPTV systems that are affected by polytopic-type uncertainties. Even though our approach for robust performance analysis is conservative in general, we can reduce the conservatism gradually by artificially regarding the original N -periodic system as pN -periodic and increasing p. In addition, thanks to the simple structure of the LMI conditions, we can readily derive a viable test to verify the exactness of the computation results.

Original languageEnglish
Title of host publicationICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings
Pages3908-3913
Number of pages6
Publication statusPublished - Dec 1 2009
Externally publishedYes
EventICROS-SICE International Joint Conference 2009, ICCAS-SICE 2009 - Fukuoka, Japan
Duration: Aug 18 2009Aug 21 2009

Publication series

NameICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings

Other

OtherICROS-SICE International Joint Conference 2009, ICCAS-SICE 2009
CountryJapan
CityFukuoka
Period8/18/098/21/09

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering

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