Method of fuzzy nonlinear PID control on uncertain parameters plant

The conventional PID controller usually can’t acquire the high performances of dynamic state and steady state simultaneously. In addition, some nonlinear PID controller need select a suitable nonlinear function and adjust some additional parameters. In the light of those problems, a new type of fuzzy nonlinear PID controller which consists of one dimensional fuzzy inference and a conventional PID controller is proposed. The fuzzy inference which has only five simple control rules can obtain nonlinear gain of input and output. The fuzzy nonlinear PID controller also can adopt the original parameters of PID controller, so it is easy to be realized. The criteria with which to evaluate the uncertain parameters plant based on Monte Carlo method which is to compare the performances and robustness of different control system is also presented. Finally, The simulation results of the controller that we propose have superior performances to conventional PID and other nonlinear PID controllers.