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In this paper, dynamic matrix control (DMC) is made adaptive for a boiler-turbine system by using online interpolated step-response model (SRM) with fuzzy inference. A plant is described as an SRM in a conventional DMC. However, a nonlinear boiler-turbine system cannot be effectively modeled as a single SRM. In this paper, the plant is modeled with nine SRMs at various operating points, and then they are interpolated with fuzzy inference rules. The interpolation is performed at every sampling step online in order to find the best SRM for an arbitrary operating point. Therefore, the proposed adaptive DMC can achieve a bumpless control for nonlinear systems. Simulation results show satisfactory result with a wide range operation of a boiler-turbine system.