Estimation of the risk for an unstable behaviour of feedback systems in the presence of nonlinear distortions

J. Schoukens, T. Dobrowiecki, R. Pintelon

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A criterion to verify experimentally the stability of a nonlinear system, captured in a feedback loop, is proposed. The basic idea is to split the output power in coherent (linearly related to the input) and noncoherent power (the remaining power). A nonlinear power gain, measuring the sensitivity of the noncoherent output power to input variations, is introduced. Using the small gain theorem, it is possible to check the local stability of the feedback for the actual class of excitation signals: the risk is estimated that the feedback system would become unstable for another realization of the experiment using extreme value statistics.

Original languageEnglish
Pages (from-to)1275-1279
Number of pages5
JournalAutomatica
Volume40
Issue number7
DOIs
Publication statusPublished - Jul 2004

Fingerprint

Nonlinear distortion
Feedback
Nonlinear systems
Statistics
Experiments

Keywords

  • Estreme value statistics
  • Nonlinear distortion
  • Stability test
  • System identification

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Estimation of the risk for an unstable behaviour of feedback systems in the presence of nonlinear distortions. / Schoukens, J.; Dobrowiecki, T.; Pintelon, R.

In: Automatica, Vol. 40, No. 7, 07.2004, p. 1275-1279.

Research output: Contribution to journalArticle

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