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Electrical on demand supercharging provides an internal combustion engine with the facility to increase its volumetric efficiency without being subject to the mechanical constraints associated with a conventional pressure charging device. This enables improvement in fuel economy through engine downsizing with the added ability to enhance torque. The Visteon Torque Enhancement System (VTES) is a fully integrated air management system, at the heart of which is an electronically controlled, electrically powered supercharger. Based on the driver demand, the supercharger responds by rotating a compressor at a speed which pressurizes the intake air to the desired level. The control system associated with an electrical boosting device (EBD) considers the engine and electrical motor torque requirements for providing the actuator with an appropriate compressor set-point. Optimal tracking of the set-point requires inclusion of physical limits of the actuator for the supercharger operation.