In this paper, we are concerned with the controller design for multi-dimensional Schrodinger equation with the internal delay control. We introduce a new approach to design the feedback control law based on the system equivalence. First, we construct a target system with the desired exponential stability. Second, we select a proper transformation and inverse transformation which guarantee the equivalence of both systems. In this procedure, we can get the expression of feedback control. Finally, exponential stability of the closed-loop system under the feedback controller is acquired through establishing equivalence relation between the closed-loop system and the target system.