In this paper, we consider the temperature synchronization problem of the heating pump during the production process and modeled it using a networked heat equation, with adiabatic conditions on the left boundary and uncertain disturbances on the right boundary. First, based on undirected network topology, we design an adaptive PI synchronization controller to achieve output synchronization between agents and design an estimated function to identify and counteract unknown disturbances. This method can dispose disturbance and achieve quickly synchronization of agents. Then, by constructing Lyapunov functions to verify the effectiveness of the control algorithm. Finally, simulation verification is conducted on the MATLAB experimental platform.