Universal Programmable Transfer Function Modeling Circuit Based on Memristors for PID Simulation Application

Control systems play a crucial role in Internet of Things applications. However, in the face of increasingly complex physical environments and the sharp increase in data volume in edge computing scenarios, the transfer functions traditionally modeled through software methods tend to be offline processing. This limitation impedes the ability of Internet of Things device terminals to achieve real-time system monitoring and data analysis. In response to the challenge, this paper introduces a novel method for circuit modeling, which enables online simulation of any transfer function for the first time. Utilizing programmable memristors enables effective real-time control of system. This study validates the feasibility of the circuit modeling method by employing five engineering examples. Compared with MATLAB software modeling, the method in processing speed is at least 40 times faster and more prominent in the higher-order transfer function modeling, with a accuracy of 95.31%. Finally, this method is used to simulate an automotive cruise control system based on proportional-integral-derivative algorithm, which successfully realizes the real-time control and analysis of the dynamic behavior of the system, and also provides a new idea and technical path for the efficient and accurate dynamic management of Internet of Things systems in the future.