Limit cycles and asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic

Kamal Premaratne, Peter H. Bauer

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

2 Citations (Scopus)

Abstract

This paper analyzes the problem of global asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic. It is shown that the free response of such a system tends to produce period one limit cycles if conventional quantization arithmetic schemes are used. Explicit necessary conditions for global asymptotic stability are derived, and these demonstrate that, in almost all cases, fixed-point arithmetic does not allow for global asymptotic stability in delta-operator formulated discrete-time systems that use a short sampling time.

Original languageEnglish (US)
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
PublisherIEEE
Pages461-464
Number of pages4
Volume2
StatePublished - 1994
EventProceedings of the 1994 IEEE International Symposium on Circuits and Systems. Part 3 (of 6) - London, England
Duration: May 30 1994Jun 2 1994

Other

OtherProceedings of the 1994 IEEE International Symposium on Circuits and Systems. Part 3 (of 6)
CityLondon, England
Period5/30/946/2/94

Fingerprint

Fixed point arithmetic
Asymptotic stability
Mathematical operators
Sampling

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

Cite this

Premaratne, K., & Bauer, P. H. (1994). Limit cycles and asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic. In Proceedings - IEEE International Symposium on Circuits and Systems (Vol. 2, pp. 461-464). IEEE.

Limit cycles and asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic. / Premaratne, Kamal; Bauer, Peter H.

Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 2 IEEE, 1994. p. 461-464.

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

Premaratne, K & Bauer, PH 1994, Limit cycles and asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic. in Proceedings - IEEE International Symposium on Circuits and Systems. vol. 2, IEEE, pp. 461-464, Proceedings of the 1994 IEEE International Symposium on Circuits and Systems. Part 3 (of 6), London, England, 5/30/94.
Premaratne K, Bauer PH. Limit cycles and asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic. In Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 2. IEEE. 1994. p. 461-464
Premaratne, Kamal ; Bauer, Peter H. / Limit cycles and asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic. Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 2 IEEE, 1994. pp. 461-464
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