Descriptor case and system augmentation

Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

Chapter 3 is an extension of the SV-LMIs of the preceding chapter both in terms of generalization of the results and for further conservatism reduction. First the SV results are generalized to descriptor systems. Not only this result is valuable in itself, but, combined to a model manipulation technique, an infinite sequence of SV-LMIs can be build. This sequence of SV-LMIs is shown to be easy to construct and proved to be of decreasing conservatism. Tests are provided for checking if the conservatism gap vanishes. On examples it is shown that the conservatism gap indeed vanishes and this is obtained early elements of the sequence (i.e., the convergence is rather fast).

Original languageEnglish
Title of host publicationCommunications and Control Engineering
PublisherSpringer International Publishing
Pages61-106
Number of pages46
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). Descriptor case and system augmentation. In Communications and Control Engineering (9781447166054 ed., pp. 61-106). (Communications and Control Engineering; No. 9781447166054). Springer International Publishing. https://doi.org/10.1007/978-1-4471-6606-1_3