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An adaptive nonlinear control system for an inverter-fed induction motor is presented. The approach taken is fundamentally different from previous work on induction motor control in that the aim is to control shaft speed directly. Further, the inverter control variables, frequency and-voltage, are related via the steady-state model to the shaft speed and motor current. By making the controller adaptive, neither load nor machine parameters need be specified, although in practice the, latter are usually available from the machine manufacturer, and, of course, full use can be made of this knowledge.