Intelligent control -- fuzzy mathematics and control

  One 、 Overview of fuzzy control

         Fuzzy logic control  (Fuzzy Logic Control) Fuzzy control for short (Fuzzy Control), Based on fuzzy set theory 、 A computer digital control technology based on fuzzy language variables and fuzzy logic reasoning .1965 year , In the United States L.A.Zadeh The theory of fuzzy sets was established ;1973 In, he gave the definition of fuzzy logic control and related theorems .1974 year , In the UK E.H.Mamdani First, the fuzzy controller is composed of fuzzy control statements , And apply it to the control of boiler and steam engine , Success in the Laboratory . This pioneering work marks the birth of fuzzy control theory .

         Fuzzy control is essentially a kind of nonlinear control , Belongs to the category of intelligent control . A major feature of fuzzy control is that it has both systematic theory , It also has a large number of practical application backgrounds . The development of fuzzy control initially encountered great resistance in the West ; However, in the East, especially in ***, But it has been rapidly and widely used . near 20 these years , Fuzzy control has made great progress both in theory and Technology , It has become a very active and fruitful branch in the field of automatic control . Its typical application examples involve many aspects of production and life , For example, there are fuzzy washing machines in household appliances 、 Air conditioner 、 The microwave oven 、 Vacuum cleaner 、 Cameras and video recorders ; In the field of industrial control, there is water purification treatment 、 Fermentation process 、 Chemical reactor 、 Fuzzy control of cement kilns ; In the special system and other aspects, there are subway stops 、 Driving a car 、 The elevator 、 Escalator 、 Fuzzy control of steam engine and robot .

Two 、 Examples of fuzzy control

1、 Fuzzy mathematical calculation ：

2、 Fuzzy reasoning ：

Single input —— More output ：

 

Multiple input —— Single output ：

  Multiple input —— Multiple rules ：