TY - GEN

T1 - Global stability analysis of an adaptively-controlled mixing tank experiment

AU - Adomaitis, Raymond A.

AU - Frouzakis, Christos E.

AU - Kevrekidis, Yannis

PY - 1992/12/1

Y1 - 1992/12/1

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:0027042823

SN - 0780302109

T3 - Proceedings of the American Control Conference

SP - 1039

EP - 1043

BT - Proceedings of the American Control Conference

PB - Publ by American Automatic Control Council

T2 - Proceedings of the 1992 American Control Conference

Y2 - 24 June 1992 through 26 June 1992

ER -