PERIODICITY IN Δ-MODULATED FEEDBACK CONTROL

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)411-416
Journal / PublicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume37
Issue number13
Publication statusPublished - Sept 2004

Conference

Title6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004
PlaceGermany
CityStuttgart
Period1 - 3 September 2004

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-84858567588&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(960827dd-b57f-42e7-a293-f76ac0a512b2).html

Abstract

Δ-modulated Feedback control of a linear system introduces nonlinearity into the system through switchings between two input values. It has been found that Δ-modulation gives rise to periodic orbits. The existence of periodic points of all orders of Signia-Delta modulation with "leaky" integration is completely characterized by some interesting groups of polynomials with "sign" coefficients. The results are naturally generalized to Sigma-Deita modulations with multiple delays. Further extensions relate to the existence of periodic points arising from Δ-modulated feedback control of a stable linear system in an arbitrary direction, for which some necessary and sufficient conditions are given.

Research Area(s)

  • Nonlinear control, Periodic orbit, Sign polynomial, Switching, Δ-modulation

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Publication fingerprints text

100
Feedback Control Mathematics
66
Linear System Mathematics
66
Periodic Point Mathematics
33
Polynomial Mathematics
33
Periodic Orbit Mathematics
33
Necessary and Suffi... Mathematics
33
Input Value Mathematics
33
Nonlinearity Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
PERIODICITY IN Δ-MODULATED FEEDBACK CONTROL. / Xia, X.; Chen, G.; Gal, R. et al.
In: IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 37, No. 13, 09.2004, p. 411-416.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review