A new design procedure is presented in this paper to simulate the implementation of 3–9 Ф power conversion using matrix converter whose output is fed to the Induction motor to control speed under closed loop configuration. Using mathematical derivations, the converter is modeled and its performance is evaluated using nonlinear load. The overall matrix converter circuit is simulated in MATLAB. The numerical equations which relate the input and outcome of the 9Ф matrix converter is executed by utilizing Simulation blocks. The duty cycle of the bidirectional switches is estimated using PI/PR/Fuzzy controller for optimum voltage transfer ratio. Due to the low on-state resistance and conduction losses, and better power handling capacity in addition to the ability of switching at higher voltages at frequency below 20 kHz, the power circuit was implemented using bidirectional IGBT switches to achieve high speed switching operation (10 kHz) and to minimize on state conduction misfortunes with less THD. The duty cycle of the bidirectional switches are controlled by the space vector PWM controller. Finally the performance of the controllers is compared with regards to THD.