Abstract
A new approach to controlling the speed and rotor flux of an induction motor using sliding-mode theory is presented. Sabanovic's equations for an induction motor are first modified to a state-space form suitable for the present design of the algorithm. A simple control algorithm that is based on the existence of a certain positive definite matrix is proposed. The Lyapunov direct method is used to ensure reaching and sustaining of the sliding-mode. To avoid direct measurement of the rotor flux, a technique based on manipulation of Stanley's equations is introduced. Simulation studies were conducted. The control algorithm exhibited excellent drive performance in the presence of load disturbances and stator and rotor resistances changes of up to 100% of the nominal values.

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