Global stability analysis of an adaptively-controlled mixing tank experiment

Raymond A. Adomaitis, Christos E. Frouzakis, Yannis Kevrekidis

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

14 Scopus citations

Abstract

An adaptive controller for a mixing tank is developed and experimentally implemented, and the effects of plant/reference-model mismatch are studied. The ranges of mismatch where the desired operating point is locally, but not globally, stable are predicted with numerical bifurcation analysis techniques and verified experimentally. In the cases of multistability, finite perturbations which destabilize the set point are quantified by computing the boundaries separating the sets of initial conditions which asymptotically approach each attractor. These basins of attraction are found to sometimes consist of disconnected and distorted structures. This results from the nonunique inverse-time dynamics of the controlled system and can be studied by considering the behavior of the reverse-time map along the basin boundaries.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherPubl by American Automatic Control Council
Pages1039-1043
Number of pages5
ISBN (Print)0780302109
StatePublished - Dec 1 1992
EventProceedings of the 1992 American Control Conference - Chicago, IL, USA
Duration: Jun 24 1992Jun 26 1992

Publication series

NameProceedings of the American Control Conference
Volume2
ISSN (Print)0743-1619

Other

OtherProceedings of the 1992 American Control Conference
CityChicago, IL, USA
Period6/24/926/26/92

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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  • Cite this

    Adomaitis, R. A., Frouzakis, C. E., & Kevrekidis, Y. (1992). Global stability analysis of an adaptively-controlled mixing tank experiment. In Proceedings of the American Control Conference (pp. 1039-1043). (Proceedings of the American Control Conference; Vol. 2). Publ by American Automatic Control Council.