Robust plug-in algorithm for adaptive cancellation of quasi-periodic disturbances in web winding systems

This paper presents a plug-in algorithm to compensate web tension disturbances caused by the eccentricity and the non-circularity of the reel and rolls in web winding systems. The disturbances generated by the non-circularity and eccentricity 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 disturbance. Approximate harmonic analysis and parameter design are done. The stability and robustness of the algorithm are also discussed. The ability of the algorithm to reject quasi-periodic disturbances with slowly varying frequencies is shown through simulations on the physical model as well as with experimental results.