An image fixing apparatus controls temperature of a rotating member for fixing with compensation for delay by using a Smith predictor with a controlled object model to reduce temperature ripple effectively. In one example, the image fixing apparatus includes a pair of rotating members to form a nip portion, a heater to heat the rotating member, a temperature sensor to detect temperature of the rotating member, a calculator to calculate a heat value to attain a target temperature of the rotating member, a controller to control the heater based on a calculation result of the heat value with compensation for delay using a model according to the calculation result, and a selector to select a control in which an output of the compensation is input into the calculator or a control in which the output of the compensation is not input into the calculator.