This book is a research monograph that addresses the basic issues in controlling large, flexible space structures (LFSS), and presents some controller synthesis methods developed by the author. The main problem considered is that of controller synthesis for precision attitude control and vibration suppression in LFSS. The bulk of the book presents two basic approaches for controller synthesis: 1. a class of "dissipative" controllers which utilize collocated actuators and sensors, and 2. a class of model-based compensators. The book will serve to stimulate research activity in control theory...