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A multi-innovation fractional order stochastic gradient (MIFOSG) algorithm, which involves a variable initial value scheme, is investigated to identify the Hammerstein nonlinear ARMAX systems in this paper. Firstly, according to an improved fractional order gradient method, the MIFOSG algorithm is proposed. Furthermore, according to the martingale convergence theorem, the convergence analysis of the...
This paper mainly concerns the problem of identifying a linear discrete time system with the aid of fractional order gradient method. At first, the fractional order gradient method is derived to guarantee the convergence to the extreme point. To avoid the singularity during the computing procedure, a modified fractional order gradient method is futher provided. On the basis of the proposed method,...
This article contributes a novel modified fractional order LMS (MFOLMS) algorithm with a variable gradient order scale. With the aid of fractional order calculus, a modified fractional order gradient descent (FOGD) method is first proposed. Hence, a MFOLMS algorithm is developed, which significantly improves the estimation accuracy of the existing approaches while slightly sacrifices the convergence...
A unified observer of high order disturbances in time series expansion for a class of nonlinear systems was proposed in this paper. The stability of a special observer from selecting the nonlinear weighted function was analyzed for constant disturbance. Then the constant disturbance observer algorithm was generalized to ramp disturbance and high order disturbances in time series expansion by incorporating...
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