Since, majority of systems are non-linear with uncertain parameters, to describe mathematical model, adaptive methods are suggested for online data collection and automatic adjustment of control parameters as parameters of system are not determined or dynamics of system are highly complicated. In this paper, widely used non-linear system of induction motor has been examined and a new and efficient adaptive controller that is distinguished from previous methods has been introduced for system based on Immersion and Invariance (I&I) method. To design controller, induction motor system has been considered in error mode and the considered errors in system have led to motor’s uncertain dynamic making it difficult to control induction motor. Accordingly, controller has been designed adaptively and the named parameters- that may be changed under working conditions of motor during time- are estimated online. Adaptive rules are obtained from stability analysis based of I&I method. According to the results obtained from simulation in MATLAB, it will be possible to see effectiveness of controller obviously that is able to track optimal path also to generate suitable control signals in presence of unknown parameters in system model.
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