模糊控制（二）模糊控制——模糊推理

- 日理万妓 2023-07-18 03:16 167阅读 0赞

## 模糊控制（二）模糊控制——模糊推理 ##

## O、概括 ##

其主要内容为  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70]

## 一、模糊推理基础 ##

## 1.模糊关系 ##

1.  模糊关系及模糊关系矩阵  
    （1）![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 1]

将论域U与V的直积UXV中每一个元素赋予一个隶属度，就可得到U与V间的一个模糊关系，记为R.隶属度记为![在这里插入图片描述][20200323224213756.png]。  
![在这里插入图片描述][20200323224228283.png]

（2）模糊关系的表示  
![在这里插入图片描述][20200323224328177.png]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 2]

*  模糊关系矩阵运算及合成![在这里插入图片描述][20200323224417358.png]  
    ![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 3]  
    ![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 4]  
    ![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 5]  
    ![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 6]

## 2.语言变量 ##

*  概念  
    ![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 7]  
    ![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 8]
 *  语气算子  
    ![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 9]  
    ![在这里插入图片描述][20200323224636637.png]
 *  模糊数

![watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 10][]

## 三、模糊推理规则 ##

![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 11]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 12]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 13]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 14]  
![在这里插入图片描述][20200323224813357.png]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 15]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 16]

## 四、模糊推理合成 ##

![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 17]  
————————————————  
版权声明：本文为CSDN博主「ksjz123」的原创文章，遵循 CC 4.0 BY-SA 版权协议，转载请附上原文出处链接及本声明。  
原文链接：https://blog.csdn.net/ksjz123/article/details/78213662

上文：[模糊控制（一）模糊控制简介及数学基础][Link 1]  
下文:[模糊控制（三）一个例程——模糊推理控制小车速度][Link 2]

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