This paper proposes a new output voltage control for inverter system which contains time-delay and nonlinear load. In the next generation X-ray CT system with the contactless power transfer method, the feedback signal often contains some long delay time by AD/DA conversion and error detection/correction time. When the PID controller of inverter system has the harmful influence on the time-delay, it often has an overshoot and an oscillated response. In order to overcome this problem, this paper proposes the compensation method based on Smith predictor for inverter system having the time-delay and the nonlinear load which is the diode bridge rectifier. The proposed compensation method consists of Smith predictor with the equivalent analog circuit. The experimental results confirm the validity of the proposed system.