The paper depicts the twenty years' development of the theory on quantum system control from being proposed to present. The research progress on the controllability of the quantum system is introduced in detail at first, then the studies about the quantum open-loop control methods that are often used for controlling the simple quantum system are analyzed briefly. The learning control method and feedback control method are discussed since they are two important methods in quantum system control and the advantages and disadvantages of those two close-loop control methods are pointed out. According to the trends of quantum system control development the paper predicts the future trends of its development and application. A set of process that is necessary for a whole system of quantum control is built. Based on the above contents, several core problems that baffle the advance of quantum control are pointed out finally.