Abstract

Abstract This paper describes a new roll eccentricity control method which has the following two features; the roll eccentricity time transition is modeled by a sine wave equation for each roll and second, the parameters, such as amplitude and phase angle are identified continuously, using the recursive identification technique. In this method, a square root filter is used to prevent the estimated parameters from diverging due to computational error. In addition, exponentially weighted least square estimation is applied to decrease estimation error due to the gradual change in force offset. Through numerical simulation, the effects of this method have been proved, and the resulting convergence of recursive computation is assured. The identification accuracy is also improved by more than 80% compared with the conventional recursive technique, even with existence of force offset. Additionally, we confirmed that thickness deviation due to roll eccentricity could be remarkably reduced.

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