This book systematically presents the state of the art in prescribed performance control theory in terms of incomplete state information, actuator saturation and faults, constrained communication bandwidth and task time window, as well as collision avoidance, and more. It provides a thorough presentation of fundamental structure, controller design, and analysis, as well as simulation studies of aerospace applications. The book aims to offer a valuable guide for researchers and aerospace engineers to address the theoretical and technical difficulties in different aerospace craft applications, ranging from spacecraft attitude and orbital control to space robotic operations. Meanwhile, it can also work as a professional reference book for senior undergraduate students and postgraduate students in fields such as automation and aerospace engineering.