Parameter estimation in nonlinear time-varying systems through Takagi-Sugeno fuzzy models and wavelets

In this paper, a parameter estimation problem for a Takagi-Sugeno fuzzy dynamic system is formulated under the assumption that the premises in the membership functions are known. A linear expression in consequent parameters is obtained under this assumption. If the system is time-varying, the parame...

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Detalles Bibliográficos
Autores: Araya, Juan Francisco, Cipriano, Aldo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2004
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/135310
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/135310
Access Level:acceso abierto
Palabra clave:Ciencias Informáticas
Wavelets y fractales
Takagi-Sugeno Models
Fuzzy Models
Time-Varying Systems
Parameter Estimation
Descripción
Sumario:In this paper, a parameter estimation problem for a Takagi-Sugeno fuzzy dynamic system is formulated under the assumption that the premises in the membership functions are known. A linear expression in consequent parameters is obtained under this assumption. If the system is time-varying, the parameters can be determined by recursive estimation techniques. As an alternate approach, the use of multi-resolution wavelets is proposed. Furthermore, a parameter estimation toolbox for fuzzy dynamic models is developed which is then applied to a simple example and to the Mackey-Glass chaotic time series.