Analysis of One and Two Dimensional Fuzzy Controllers

In our paper, the analytical structures and properties of the one and 2D fuzzy controllers are first investigated in details. The nature of these two kinds of fuzzy controllers is next probed from the viewpoint of control engineering. For the one dimensional fuzzy controller, it is concluded that this controller is a combination of a saturation element and a nonlinear proportional controller, and the system that employs the one dimensional fuzzy controller is the combination of an open-loop control system and a closed-loop control system. On the other hand, the 2D controller is a hybrid controller, which comprises the saturation part, zero-output part, nonlinear derivative part, nonlinear proportional part, as well as nonlinear proportional-derivative part, and the 2D fuzzy controller-based control system is a loop-varying system with varying number of control loops