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Heat pump systems are widely used in the heating field. In order to achieve more efficient control of heat pump systems, it is necessary to design more intelligent measurement and control systems. Based on this, the overall scheme design of the air energy heat pump measurement and control system was studied, and then fuzzy control and Smith predictive compensation control strategies were introduced to optimize the Proportional Integration Difference (PID) controller. In the design of information systems, Message Queuing Telemetry Transport (MQTT) is used as the communication proxy protocol. The results showed that when the PID controller was subjected to sinusoidal interference at 1050s, its temperature rapidly increased to 34.8 ℃, decreased to 24.7 ℃ after 160s, and returned to the set temperature after 320s. When the fuzzy PID controller is subjected to sinusoidal interference, its temperature rapidly increases in a short period of time, then drops to 24.6 ℃ after 70 seconds, and reaches the set temperature after 510 seconds. The fuzzy PID controller combined with Smith dropped to the lowest temperature value at 1250s and reached the set temperature value at 1510s. Overall, the research and design of the heat pump measurement and control system have strong robustness and feasibility in temperature control and system operation, providing an effective method for the intelligent control of modern heat pump systems.