SOS for sampled-data systems

Alexandre Seuret, Matthew M. Peet

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

4 Scopus citations

Abstract

This article proposes a new approach to stability analysis of linear systems with sampled-data inputs. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability conditions can be solved using the sum of squares methodology with little or no conservatism in both the case of synchronous and asynchronous sampling. Numerical examples are included to show convergence.

Original languageEnglish (US)
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Pages1441-1446
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
StatePublished - Jan 1 2011
Externally publishedYes

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

Keywords

  • Lyapunov function
  • Sampled-data systems
  • Sum of squares

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Seuret, A., & Peet, M. M. (2011). SOS for sampled-data systems. In Proceedings of the 18th IFAC World Congress (1 PART 1 ed., pp. 1441-1446). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.00824