SOS for sampled-data systems

Alexandre Seuret, Matthew Peet

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

4 Citations (Scopus)

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 publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages1441-1446
Number of pages6
Volume18
EditionPART 1
DOIs
StatePublished - 2011
Externally publishedYes
Event18th IFAC World Congress - Milano, Italy
Duration: Aug 28 2011Sep 2 2011

Other

Other18th IFAC World Congress
CountryItaly
CityMilano
Period8/28/119/2/11

Fingerprint

Linear systems
Sampling

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Seuret, A., & Peet, M. (2011). SOS for sampled-data systems. In IFAC Proceedings Volumes (IFAC-PapersOnline) (PART 1 ed., Vol. 18, pp. 1441-1446) https://doi.org/10.3182/20110828-6-IT-1002.00824

SOS for sampled-data systems. / Seuret, Alexandre; Peet, Matthew.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 18 PART 1. ed. 2011. p. 1441-1446.

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

Seuret, A & Peet, M 2011, SOS for sampled-data systems. in IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 edn, vol. 18, pp. 1441-1446, 18th IFAC World Congress, Milano, Italy, 8/28/11. https://doi.org/10.3182/20110828-6-IT-1002.00824
Seuret A, Peet M. SOS for sampled-data systems. In IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 ed. Vol. 18. 2011. p. 1441-1446 https://doi.org/10.3182/20110828-6-IT-1002.00824
Seuret, Alexandre ; Peet, Matthew. / SOS for sampled-data systems. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 18 PART 1. ed. 2011. pp. 1441-1446
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