Relationship between fuzzy controllers and PID controllers
Tóm tắt
The internal relations between fuzzy controllers and PID controllers are revealed. First, it is pointed out that a fuzzy controller with one input and one output is just a piecewise P controller. Then it is proved that a fuzzy controller with two inputs and one output is just a piecewise PD (or I) controller, with interaction between P and D (or PI). At last, the conclusion that a fuzzy controller with three inputs and one output is just a piecewise PID controller with interaction among P, I and D is given. Moreover, a kind of difference scheme of fuzzy controllers is designed.
Tài liệu tham khảo
Li Hongxing, Interpolation mechanism of fuzzy control,Science in China, Ser. E, 1998, 41(3): 312.
Li Hongxing, Adaptive fuzzy controllers based on variable universe,Science in China Ser. E, 1999, 42(1): 10.
Li Hongxing, The mathematical essence of fuzzy controls and fine fuzzy controllers, inAdvances in Machine Intelligence and Soft-Computing (ed. Wang Paul P.), Vol. IV, Durham: Bookwrights Press, 1997, 55–74.
Li Hongxing, Yen, V. C.,Fuzzy Sets and Fuzzy Decision-Making, Florida: CRC Press, 1995.