模糊识别练习题.docVIP

一． In contrast with the classical control, what are the characteristics of fuzzy control? Which parts are contained in the simple fuzzy control system? Please present the corresponding block diagram and explain the principle. [与传统控制相比，模糊控制的特点是什么？简单模糊控制系统是由哪几部分组成的？画出其结构框图并简述其工作原理。] 二. Fuzzy relation model、T-S fuzzy model and fuzzy hyperbolic model are three fuzzy model structures used to construct the fuzzy control system. 1. Please describe how to identify the T-S fuzzy model in details. 2. Comparing with T-S fuzzy model, what are the advantages of fuzzy hyperbolic model? Why the generalized fuzzy hyperbolic model is introduced? What are the similarities and differences between the generalized fuzzy hyperbolic model and fuzzy hyperbolic model? [目前用于模糊控制系统构造的模糊模型结构主要有模糊关系模型、T-S模糊模型和模糊双曲正切模型。 1.请详细描述T-S模糊模型的辨识过程。 2.与T-S模糊模型相比，模糊双曲正切模型具有哪些优点？为什么要引入广义模糊双曲正切模型？广义模糊双曲正切模型与模糊双曲正切模型有什么异同点？] 三. Consider a fuzzy relation defined in : where, . Please calculate the projection of in and respectively. [考虑定义在中的模糊关系: 其中，。 要求分别计算在和上的投影。] 四. If input variables are and , the output variable is . Now assume the input variables are and . Please calculate the output variable ; Assume u1=4，u2=6，please calculate the precise output corresponding to with the gravity center defuzzification technique. [设模糊控制器输入为 ， 时，输出为 今有输入 ， 要求：1.求输出； 2.设u1=4，u2=6，试用重心解模糊法计算与输出对应的精确量。] 五. Let and are two fuzzy numbers defined as ， Please calculate: ，，and。 [如果已知，两个模糊数分别为： ， 试求：，， 和 。] 六.Consider a fuzzy set function ，Please compute the fuzzy set by extension principle. [已知模糊集 函数，请根据扩展原理确定模糊集。] 七. A MISO fuzzy system can be represented by the following two fuzzy models: ⅰ）IF is is is is is is THEN ⅱ）IF is is is is is is THEN where， means the th rule, is a fuzzy subset, is a constant term in the consequence part, is the output from the th rule, is a parameter of the consequence part, are input variables, is an output variable, an