Lyapunov stability of an open-loop induction machine

Ahmed Oteafy, John Chiasson

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

The induction machine is widely utilized in the industry and exists in a plethora of applications. Although it is characterized by its inherent stability over a wide range of operating conditions, this characterization is based on steadystate arguments. This work develops a rigorous approach to the open-loop stability of the induction machine. In particular, a condition for the global asymptotic stability of the induction machine in the sense of Lyapunov is presented. These conditions are met if the machine is lightly loaded. Hence, meeting these conditions guarantees that the motor will reach (or return to) the desired equilibrium point regardless of how far it has been perturbed from it. The analysis is based on the standard nonlinear differential equation model of the induction machine taking into account transient responses.

Original languageEnglish
Title of host publication2009 American Control Conference, ACC 2009
Pages3452-3457
Number of pages6
DOIs
StatePublished - 2009
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: 10 Jun 200912 Jun 2009

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2009 American Control Conference, ACC 2009
Country/TerritoryUnited States
CitySt. Louis, MO
Period10/06/0912/06/09

Keywords

  • Induction machine
  • Lyapunov stability
  • Open-loop stability

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