Abstract
Dynamic weighing has become an essential requirement in a diverse range of industries. In dynamic weighing, loadcell based weighing mechanisms are employed in determining the weight of the products while they are in motion. This paper proposes a method of weight ascertainment based on state estimation theory. A simplified time domain response of the weighing system is modelled as an output error model and the 1-D Kalman filter is used in two stages to determine the weight of the fruit. The dependency of the weight with the change of speed is taken into account in the calibration stage. The validity of the method is tested using the data provided by Compac sorting equipment, Auckland, New Zealand.
Highlights
Dynamic weighingDynamic weighing refers to the system that weighs products while they are being conveyed over a weighing platform within a production line
Fruit are transported in individual carriers and the chain driven carriers travel over the weighing station which is equipped with a dual load cell system, i.e. platform mounted on two strain gauge load cells as depicted in Figure (3.1)
A one-dimensional Kalman filtering technique has been explored as a possible solution that will enable improved accuracy of dynamic weighing
Summary
A one-dimensional Kalman filtering technique has been explored as a possible solution that will enable improved accuracy of dynamic weighing. The dynamic behaviour of the weighing mechanism was studied and analysed using a mathematical model: a second order differential equation. The step response of the second order differential equation is given by the equation (3.5), x(t) =. It consists of a constant state (or a steady state) of magnitude mg k and a decaying oscillatory component. The constant state, or the steady state, that is responsible for the weight of the fruit was estimated using the 1- dimensional Kalman filter algorithm. The difference between the steady state of each set of data was used to estimate the mass of the fruit being moved over the weighing table.
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