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 pr...

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Autor principal: González, Graciela Adriana
Publicado: 1994
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00189286_v39_n10_p2145_Gonzalez
http://hdl.handle.net/20.500.12110/paper_00189286_v39_n10_p2145_Gonzalez
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Sumario: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. © 1994 IEEE.