Clutch micro-slip is significant in improving the performance of dual clutch transmission. Unlike with the conventional lockup control strategy, this research designs a novel controller to enable a desired micro-slip on clutch at the end of clutch engagement. Prior to the design, an extended Kalman filter is proposed to estimate the drive shaft torque based on an estimation model. The controller design is using the pole placement method based on the clutch slip dynamics; its input is calculated according to the estimated drive shaft torque, the engine torque, and the error between the actual slip and desired micro-slip, which realizes a closed-loop feedback control to ensure the control performance. The controller is validated by simulation works, and the results show that the clutch micro-slip is stable and robust.