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This paper addresses the parameter identification problem of a fractional order system with a known structure. Thus, based on the variational iteration method, its shown that the identification of the parameters can be formulated as an optimization problem. The objective function is the L2-norm of the error between the measured and the model outputs, and the unknown model parameters are the decision...
The block oriented structure such as Hammerstein, Wiener, etc… became very popular for the non-linear system modelling due to its simplicity and parsimony. In this paper, fractional hammerstein system is considered; it consists of a static non-linear block followed by a fractional linear dynamical block. The particle swarm optimisation is used to estimate the system parameters as well as the fractional...
This paper derives an iterative algorithm for identifying a fractional Hammerstein non-linear system. Such system consists of a static non-linear block followed by a linear dynamic part. The proposed approach uses the hierarchical identification principle based on Levenberg-Marquardt algorithm and is able to estimate the parameters of both the linear part and the nonlinear part as well as the fractional...
Fractional systems are known to model complex dynamics with a reduced number of parameters. This paper deals with identification of discrete fractional order systems based on non-linear Hammerstein models. Such systems consist of a static non-linear block followed by a linear dynamic system. The polynomial non-linear state space equations (PNLSS) are used to represent the fractional Hammerstein system...
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