A nonlinear state observer can be used as a resolver-to-digital converter (RDC); however, when the speed is not constant, its performance deteriorates. In this paper, a composite state observer is presented. The estimation speed from the nonlinear state observer is compensated by the estimation speed from the arctangent method in the feed-forward form. Compared with the arctangent method, this method has a strong ability to suppress random disturbances. Compared with an RDC based on a nonlinear state observer, the accuracy of the angle and speed is improved as the appearance of phase delay is weakened. Experiments demonstrate the effectiveness of the observers.