The capturing strategy to capture the debris in the earth orbit is one of major concerns of recent space development. Multi-joint space structure is used to capture these debris, but the control method of these structures are difficult due to its complicated system and the motion of the debris. In this paper, the motion of the space structure is control using optimal periodic controller with delayed feedback control. The results show that due to the characteristics of the system like multi-joint space structure, the delayed feedback control does not work well as it is expected.