Parameter estimation in nonlinear time-varying systems through Takagi-Sugeno fuzzy models and wavelets
Keywords:
Wavelets, Takagi-Sugeno Models, Fuzzy Models, Time-Varying Systems, Parameter EstimationAbstract
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.
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Copyright (c) 2004 Juan Francisco Araya, Aldo Cipriano
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