Journal of Systems Engineering and Electronics ›› 2006, Vol. 17 ›› Issue (2): 362-373.doi: 10.1016/S1004-4132(06)60063-7

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Analysis of one dimensional and two dimensional fuzzy controllers*

Ban Xiaojun1, Gao Xiaozhi2, Huang Xianlin1 & Ww Tianbao1   

  1. 1. Dept. of Control Theory and Engineering, Harbin Inst. of Technology, Harbin 150001, P. R. China;
    2. Inst. of Intelligent Power Electronics, Helsinki Univ. of Technology, Espoo, Finland
  • Online:2006-06-26 Published:2019-12-20

Abstract:

The analytical structures and the corresponding mathematical properties of the one dimensional and two dimensional fuzzy controllers are first investigated in detail. The nature of these two kinds of fuzzy controllers is next probed from the perspective 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 closedloop control system. For the latter case, it is concluded that it 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 two dimensional fuzzy controller-based control system is a loop-varying system with varying number of control loops.

Key words: one dimensional fuzzy controller, two dimensional fuzzy controller, analytical structures, fuzzy inference, control system analysis