Constraint Management of Rotating Machinery With Application to Xerography

This paper is concerned with the problem of constraint management for rotating machinery with actuators and sensors fixed in inertial space. Such systems arise in xerography, drilling and milling machines, and turbo machinery. The proposed approach consists of first discretizing the rotating device spatially and temporally to obtain a discrete-time lumped linear periodic model of the rotating device. Linear tracking controllers are then designed to stabilize the system, followed by the application of the Reference Governor (RG) technique for constraint management. To accomplish the latter, we extend the earlier results in the literature of RG to the case of periodic systems with disturbances, which arises in applications. We illustrate the theory using a numerical simulation of the fusing stage of a xerographic process.