A remark on chaotic behavior in adaptive control systems

This note deals with the control of a linear discrete-time system designed on the assumptions that we do not have explicit knowledge of the order of the plant. The objective is to cause the output to track a given constant reference y*, when the initial conditions are in a neighborhood of y*. In pre...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1994-10, Vol.39 (10), p.2145-2148
Main Authors: Gonzalez, G.A., Troparevsky, M.T., D'Attellis, C.E.
Format: Article
Language:English
Subjects:
Adaptive control
Chaos
Communication cables
Control systems
Cranes
Force control
Force feedback
Parameter estimation
Stability
Velocity control
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Summary:This note deals with the control of a linear discrete-time system designed on the assumptions that we do not have explicit knowledge of the order of the plant. The objective is to cause the output to track a given constant reference y*, when the initial conditions are in a neighborhood of y*. In previous papers the presence of chaos was conjectured for an adaptive scheme where the plant to be controlled was a second-order one undermodeled by a first-order one. We show that with an adequate choice of the parameter estimator local regulation with exponential convergence of both the output and the parameter is obtained.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.328810