Professor of School of Engineering, Design and Built Environment, Western Sydney University, Australia. His research interests cover Industry 4.0, Additive Manufacturing, Advanced Engineering Materials and Structures (Metals and Composites), Multi-scale Modelling of Materials and Structures, Metal Forming and Metal Surface Treatment.
Abstract—Determination of distribution law of measured series of values is important task in automated regulation and active control. In many cases this is a challenge, especially when type of the law is uncommon and differ from Gaussian. The method for determination of distribution law based on criteria of process stabilizing is proposed. The recommendation for Poisson, Exponential and χ2 laws are given. Determination of distribution law of series is based on calculation of 4 criteria, each one being based on Mean, standard deviation or its derivative. In each case the series of 1000 computational experiments being held and on base of its results the distribution law being determined. Each case being described by the number of measurements that is necessary for each criteria level stabilize below value of 0,1. It is shown that for each main distribution laws the order in which each criteria stabilize in sequential measurement differs. The order of such stabilization is offered as a way to determine the distribution laws for measurements in active control algorithms, while the measurement amount necessary for stabilization may be used for estimation of distribution laws parameters. The calculation experiment results for some of the most common laws is given and criteria for each law definition is formulated.
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