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Adaptive step size gradient descent

This paper presents a frequency adaptive grid voltage sensorless control scheme of a grid-connected inductive-capacitive-inductive (LCL)-filtered inverter, which is based on an adaptive current controller and a grid voltage observer. The frequency adaptive current controller is constructed by a full-state feedback regulator with the augmentation of multiple control terms to.

Dec 01, 2022 · Two-Point Step Size Gradient Methods J. Barzilai, J. Borwein Mathematics 1988 Etude de nouvelles methodes de descente suivant le gradient pour la solution approchee du probleme de minimisation sans contrainte. Analyse de la convergence 2,330. Web. The idea is to use a finite difference approximation of the curvature along the search direction to get an estimate of the step size. Specifically, choose α 0 > 0 arbitrary, set g 0 := ∇ f ( x 0) and then for k = 0,...: Set s k = − α k − 1 g k and x k + 1 = x k + s k Evaluate g k + 1 = ∇ f ( x k + 1) and set y k = g k + 1 − g k.

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The idea is to use a finite difference approximation of the curvature along the search direction to get an estimate of the step size. Specifically, choose α 0 > 0 arbitrary, set g 0 := ∇ f ( x 0) and then for k = 0,...: Set s k = − α k − 1 g k and x k + 1 = x k + s k Evaluate g k + 1 = ∇ f ( x k + 1) and set y k = g k + 1 − g k.

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