This book is aimed at engineering students researchers and PhD students specializing in electrical engineering and automation. It focuses on H∞ synthesis applied to an Inertial Storage System (ISS) based on a Double-fed Asynchronous Machine (DAM) confronted with grid disturbances and parametric uncertainties. After modeling an uncertain MADA an H∞ approach is developed to guarantee stability and performance in the presence of symmetrical and asymmetrical faults. Two robust correctors are designed via a reformulation of the mixed sensitivity problem. Simulation results compared with conventional methods (PI PIR) highlight the effectiveness of H∞ control. This book combines theory modeling and practical application to train for today's challenges of controlling electromechanical systems in unstable networks.