The controlling and transforming methodd of electrical energy are the most important process in the field of electrical engineering.. The increased complexity of their control and usage of more number of elements led to work with of new type of converter called Matrix Converter which is very simple and compact. The Matrix Converter is an ac–ac power converter topology, mainly based on semiconductor switches with minimal requirements for passive components. In this paper the performance of such converter has been studied when driving linear load current using PI and Fuzzy Logic Controllers. Simulation results display the effectiveness of Matrix Converter with reduced THD values.