Fractional-Order Newton-Like State Estimator for Discrete-Time Nonlinear Systems

In this paper, we discuss the state estimation problem for discrete-time nonlinear systems under a zero search approach. In this sense, a state estimator based on the fractional-order extension of the well-known Newton's method is designed. The properties presented by this estimator are inherited from the aforementioned method, in addition, compared to the classical Newton's method, the fractional order extension has significant advantages such as fewer iterations to achieve convergence and wider regions of attraction for the zeros. On the other hand, considering other estimation methods, the presented approach offers a better performance in general.