The spatial bandwidth of cross-directional control systems for web processes

Authors:
S. R. Duncan;G. F. Bryant
Affiliations:
Control Systems Centre, UMIST, P.O. Box 88. Manchester M60 1QD, U.K.;IRC for Process Systems, Imperial College of Science, Technology and Medicine, Exhibition Road, London SW7 2AZ, U.K.
Venue:
Automatica (Journal of IFAC)
Year:
1997

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Abstract

Cross-directional control systems have been installed on a wide range of web processes, and many of these systems use an array of actuators to control cross-directional variations. This paper investigates the controllable bandwidth of these systems by using the concept of spatial frequencies to separate the controllable and uncontrollable components of a cross-directional disturbance. This leads to an expression for the spatial bandwidths of the whole array in terms of the spatial-frequency response of a single actuator. The analysis is closely related to Shannon's sampling theory, and a phenomenon similar to aliasing occurs when the spacing between the actuators is too large. A practical specification for the design of an array of actuators is given in terms of the spatial bandwidth of an individual actuator.