Adaptive algorithm for cancellation of quasi-periodic perturbation in web winding system

This paper presents an adaptive algorithm to compensate web tension disturbances caused by the eccentricity and non-circularity of the reel and rolls in web winding systems. The disturbances generated by the eccentricity and non-circularity of the roll have a quasi-periodic form with a frequency that varies with the rotation speed of the roll. The algorithm is based on an estimation of the phase component and the quadrature phase component of the disturbances. Approximate harmonic analysis and parameter design are done. The ability of the algorithm to reject eccentricity and non-circularity tension disturbances with slowly varying frequencies is shown through simulations on the physical model as well as with experimental results.