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Inverted pendulum systems and PID control methods have been the two foundations of control theory long time. The inverted pendulum system is used as an important tool for detecting the control method, and the PID control theory is the core of the classical control theory. More and more control methods have been proposed, and most of them are based on the optimization of traditional PID method. Therefore, in order to better test the control ability of the new control methods, this article will compare three kinds of control methods like traditional PID, fractional PID and neural network fractional PID, for the inverted pendulum system's control ability and anti-interference ability.