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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.