Robust performance analysis of LTI systems

Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The primary goal of Chap. 2 is founding the basic idea of the SV approach. Before generalizing the technique (which is done in the following chapters), we show its effectiveness on simple essential control problems. We mainly consider the robust performance analysis problems of linear time-invariant systems affected by parametric uncertainties, and clarify why the SV-LMIs do perform well on these intractable infinite-dimensional semi-infinite problems. We also highlight the improvements in terms of conservatism both theoretically and on examples.

Original languageEnglish
Title of host publicationCommunications and Control Engineering
PublisherSpringer International Publishing
Pages9-59
Number of pages51
Edition9781447166054
DOIs
Publication statusPublished - Jan 1 2015
Externally publishedYes

Publication series

NameCommunications and Control Engineering
Number9781447166054
ISSN (Print)0178-5354
ISSN (Electronic)2197-7119

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Networks and Communications
  • Control and Optimization

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  • Cite this

    Ebihara, Y., Peaucelle, D., & Arzelier, D. (2015). Robust performance analysis of LTI systems. In Communications and Control Engineering (9781447166054 ed., pp. 9-59). (Communications and Control Engineering; No. 9781447166054). Springer International Publishing. https://doi.org/10.1007/978-1-4471-6606-1_2