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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Detalles Bibliográficos
Autor principal: González, Graciela Adriana
Publicado: 1994
Materias:
Chaos theory
Computer simulation
Discrete time control systems
Linear control systems
Mathematical models
Parameter estimation
System stability
Constant reference
Exponential convergence
Local regulation
Self adjusting control systems
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00189286_v39_n10_p2145_Gonzalez
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spelling paper:paper_00189286_v39_n10_p2145_Gonzalez2023-06-08T14:40:05Z A remark on chaotic behavior in adaptive control systems González, Graciela Adriana Chaos theory Computer simulation Discrete time control systems Linear control systems Mathematical models Parameter estimation System stability Constant reference Exponential convergence Local regulation Self adjusting 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 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. Fil:González, G.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1994 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
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Chaos theory
Computer simulation
Discrete time control systems
Linear control systems
Mathematical models
Parameter estimation
System stability
Constant reference
Exponential convergence
Local regulation
Self adjusting control systems
spellingShingle Chaos theory
Computer simulation
Discrete time control systems
Linear control systems
Mathematical models
Parameter estimation
System stability
Constant reference
Exponential convergence
Local regulation
Self adjusting control systems
González, Graciela Adriana
A remark on chaotic behavior in adaptive control systems
topic_facet Chaos theory
Computer simulation
Discrete time control systems
Linear control systems
Mathematical models
Parameter estimation
System stability
Constant reference
Exponential convergence
Local regulation
Self adjusting control systems
description 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.
author González, Graciela Adriana
author_facet González, Graciela Adriana
author_sort González, Graciela Adriana
title A remark on chaotic behavior in adaptive control systems
title_short A remark on chaotic behavior in adaptive control systems
title_full A remark on chaotic behavior in adaptive control systems
title_fullStr A remark on chaotic behavior in adaptive control systems
title_full_unstemmed A remark on chaotic behavior in adaptive control systems
title_sort remark on chaotic behavior in adaptive control systems
publishDate 1994
url 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
work_keys_str_mv AT gonzalezgracielaadriana aremarkonchaoticbehaviorinadaptivecontrolsystems
AT gonzalezgracielaadriana remarkonchaoticbehaviorinadaptivecontrolsystems
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