STATE ESTIMATION OF A CHAOTIC GALTON BOARD MODEL

STATE ESTIMATION OF A CHAOTIC GALTON BOARD MODEL

A. A. Mat Daud

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Abstract

In this study, the application of the gradient descent of indeterminism (GDI) shadowing  lter to a recently proposed chaotic Galton board model is presented and dis- cussed. It is found that the original GDI shadowing  lter does not provide stability to the convergence of the indeterminism and the error. The adaptive step-size (AS) is introduced to address the problem. The advantages of AS over  xed step-size (FS) and how it can improve the original shadowing  lter are investigated in this study. The AS will guarantee successful implementation of GDI shadowing algorithm and will improve the performance of the original shadowing  lter.

Keywords

shadowing  lter, Galton board, gradient descent of indeterminism.