The project directed by Prof. Su Hongye from CST was awarded the first Prize of University Natural Science. The system performances on input/output, system state, and dynamics are usually constrained by various factors, such as environment, equipment, craftwork, and security. Moreover, the accuracy constrain also occurs in the digital implementation of controller. While, the traditional control theories and techniques fail to meet the requirements of engineering design and performance. Therefore, the studies on the robust control theory and methods for the constrained systems are of great significant both from the points of theoretical and practical views. This project focuses on the issues of controller accuracy as well as constrains on input/output, system state, dynamics, and performance. By comprehensive and systematic researches, the framework is proposed on the robust performance analysis and synthesis for the constrained complex systems.