A Prony Approach to Modeling of Time-Varying Fuzzy Systems
نویسنده
چکیده
This paper extends the Prony method to the identification of a class of fuzzy systems parameterized by a set of time-varying parameters. The Prony formulation is an optimal solution minimizing the fluctuation effects while accurately estimating the time-varying system parameters. A closed-form and efficient algorithm for adaptively calculating the time-varying parameters is derived. This solution is used to model nonlinear systems as time-varying fuzzy systems. The parameters of these fuzzy systems are adaptively calculated for each timeframe, leading to the completion of the system modeling. Numerical simulations are given to the modeling of different nonlinear systems.
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