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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00189286_v39_n10_p2145_Gonzalez |
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todo:paper_00189286_v39_n10_p2145_Gonzalez2023-10-03T14:16:18Z A remark on chaotic behavior in adaptive control systems González, G.A. Troparevasky, M.I. D’ Attellis, C.E. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, G.A. Troparevasky, M.I. D’ Attellis, C.E. 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. |
| format |
JOUR |
| author |
González, G.A. Troparevasky, M.I. D’ Attellis, C.E. |
| author_facet |
González, G.A. Troparevasky, M.I. D’ Attellis, C.E. |
| author_sort |
González, G.A. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00189286_v39_n10_p2145_Gonzalez |
| work_keys_str_mv |
AT gonzalezga aremarkonchaoticbehaviorinadaptivecontrolsystems AT troparevaskymi aremarkonchaoticbehaviorinadaptivecontrolsystems AT dattellisce aremarkonchaoticbehaviorinadaptivecontrolsystems AT gonzalezga remarkonchaoticbehaviorinadaptivecontrolsystems AT troparevaskymi remarkonchaoticbehaviorinadaptivecontrolsystems AT dattellisce remarkonchaoticbehaviorinadaptivecontrolsystems |
| _version_ |
1807322389096169472 |