Induction motors are the most rugged electrical equipment which are widely used in the industry. Owing to the non-linearity in its behaviour, it is not a trivial problem to solve and hence we are interested in using it as a control platform. Through several decades of research a wide number of control schemes have been developed for implementing the closed loop control. Based upon the merits and demerits of various schemes we choose a control scheme called the indirect vector control of Induction motor. Using the electrical dynamics of the motor model we design a LQG/LTR controller. We employ a discretized model for the controller design. A step by step procedure has been outlined considering the two possible cases of minimum phase and non minimum phase systems. Finally the speed tracking capability of the design is tested in ®Matlab TMSimulink using ®SimPowerSystem toolbox.