The approach of a control algorithm for a matrix converter that uses unbalanced grid voltages is presented in this research. Without the requirement for a DC link, direct power conversion between AC sources of various frequencies and phases is possible when a matrix converter is used. However, maintaining the balance of the output voltages and currents when using a matrix converter on unbalanced grid voltages poses serious difficulties. With the help of a variety of characteristics, such as space vector modulation, a reference frame transformation, and a compensation method, the suggested control algorithm resolves these problems. A novel Matrix Converter Control - Deep Reinforcement (MCC-DR) has also been created, and it possesses the necessary characteristics and processing steps. Studies using simulations have shown that the suggested control algorithm is effective at preserving output voltage and current balance even when there is a significant imbalance in the grid voltages. This method opens the door for the use of matrix converters in a wider range of applications, which is a significant advancement in the field of power electronics. Furthermore, Matlab is used to implement the proposed system. Therefore, the proposed work performance can be the output voltage and current waveform to speed control.