In this book we delve into the intricate domain of direct current control for matrix converters, aiming to master its efficiency and stability. Our study encompasses a comprehensive examination of existing control methodologies, identifying their limitations and areas for improvement. Leveraging advanced control techniques and optimization algorithms, we propose innovative strategies tailored to enhance the performance of matrix converters under diverse operating conditions. Through rigorous simulation and experimentation, we validate the effectiveness of our proposed approaches in achieving superior control precision, minimizing losses, and ensuring robust operation.Furthermore, our investigation extends to real-world applications, where the optimized direct current control schemes are implemented and tested in practical scenarios. By scrutinizing the converter's behavior under varying load conditions and external disturbances, we verify the reliability and adaptability of our proposed control strategies. The outcomes of this study not only contribute to advancing the state-of-the-art in matrix converter technology but also provide practical insights for engineers and researcher.