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This paper focuses in the design of an adaptive sliding mode control (SMC) for induction motor drives, that reduces the high frequency chattering that usually appears in the SMC schemes. The proposed design consist of a sliding mode control law that incorporates an adaptive switching gain. This adaptive switching gain avoids the need of calculating an upper limit of the system uncertainties as it is usual in the traditional SMC schemes. The proposed scheme uses the so-called field oriented control theory that allows to control the induction motor like a separately excited direct current motor drive, where the field flux (produced by the field current) and the armature flux (produced by the armature current) are decoupled. A stability analysis based on Lyapunov theory is also performed in order to guarantee the closed loop stability.