**1. Intelligent control based on fuzzy logic**

#### **1.1 Basic knowledge of fuzzy logic**

A set of things can be distinguished based on binary logic. The essence of the set concept is to classify or divide things according to certain attributes. The whole of all the elements of the research object is called "universe", which is represented by U, also known as "set", "entire domain" or "space". Eigen functions are an important way to represent classical sets. For fuzzy sets and fuzzy concepts, from the

perspective of set theory, the connotation of a concept is the definition of a set, and expansion is all the elements that make up a set. In people's mind, there are many concepts that are not explicitly extended, called fuzzy concepts, such as "high" and "short" to describe height [1].

The general approximation analysis of fuzzy systems is a non-linear mapping from input to output. It consists of multiple "If … Then … " rules. These rules have simple geometric features in the input and output spaces X � Y, and define many fuzzy blocks on the X � Y space. "If X is a fuzzy set A1, then Y is a fuzzy set B1." This rule corresponds to the A1 � B1 Cartesian product of the input and output spaces. The overlapping function f: X ! Y of fuzzy blocks composed of fuzzy rules can be used to approximate the function f: X ! Y with the fuzzy system F: X ! Y.

Summarizing the control behavior of the above-mentioned people is following the basic idea of feedback control. An experienced operator can summarize the principle of manual operation to control the furnace temperature. The accumulated operating experience accumulated over the years can be summarized into several rules, such as "if the furnace temperature is low, add more fuel", etc., to train young operators that he is qualified for the job and gradually replace. Similarly, several control rules summarized from operating experience can be stored in a computer, allowing the computer to imitate human control decision-making behaviors to automatically control the furnace temperature. This is the basic idea of fuzzy control.
