This report provides a comprehensive overview of inverters and their applications, focusing on the use of Artificial Neural Network (ANN) controllers for Total Harmonic Distortion (THD) minimization. It begins with an introduction to inverters, their role in power conversion, and their widespread applications in various industries, including power generation and transmission. The report then delves into multilevel inverters, highlighting their advantages over conventional inverters, such as reduced harmonic distortion and lower switching losses. A specific focus is given to H-bridge inverters, their applications, and their limitations, which lead to the exploration of asymmetrical cascaded H-bridge inverters. The core of the report centers on the design of an ANN controller for THD reduction. The design utilizes a Genetic Algorithm (GA) to determine optimal switching angles, which are then used to train the ANN. This approach enables the ANN controller to effectively eliminate harmonics, as demonstrated in the context of a two-level three-phase inverter. The report references key publications and research papers that support the concepts and methodologies discussed.