模糊控制（二）模糊控制——模糊推理

- 日理万妓 2023-07-18 03:16 134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]

[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70]: /images/20230528/1eaff1365d834b3998ff01c763dac7d0.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 1]: /images/20230528/ef6e6a12877a4255b07a89a391b03662.png
[20200323224213756.png]: /images/20230528/62641a0f1e7148fd8a37dfecffa71fd1.png
[20200323224228283.png]: /images/20230528/e4b38c113d6149e896bb19948964b8c6.png
[20200323224328177.png]: /images/20230528/3f214424496647b59c676f3920daa242.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 2]: /images/20230528/174b7ff5c5b54e41884e71eac958effc.png
[20200323224417358.png]: /images/20230528/6e86230a362a444c9df04733bd36b74b.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 3]: /images/20230528/9582ef0a8e02422c99ea755eb54da2eb.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 4]: /images/20230528/3525a5273eb34741aaea915fa8042ba5.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 5]: /images/20230528/620317cbeb8f4b389399172be114c829.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 6]: /images/20230528/ad71e7d3707840a58155e8051b672e28.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 7]: /images/20230528/fe51dac05e644ee1815f8e9295c46a5d.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 8]: /images/20230528/68ae78eafe24471ba53a7c8663e1ce9a.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 9]: /images/20230528/5731032bdd7140e98233a91bd5c988f8.png
[20200323224636637.png]: /images/20230528/581b3c94ed454c9a90fc2358994e891e.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 10]: /images/20230528/4a5769ac5055460ea1c5b12f2beb368b.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 11]: /images/20230528/d67102159f8345c98bddac73dc564267.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 12]: /images/20230528/32f2237fb0cd4233aecb28bcb82c96ee.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 13]: /images/20230528/394946fab10346668aaf7a0e75ac683c.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 14]: /images/20230528/1c5e8d37b14d4d40ae1bebfdb07cf1d8.png
[20200323224813357.png]: /images/20230528/d1954c210b684a419b93f97422ec6a46.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 15]: /images/20230528/d26ddfe537a949bbb48ded9690ac69d0.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 16]: /images/20230528/03d083a603c14dc984bc8dbff2f60093.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQzOTA3NTM3_size_16_color_FFFFFF_t_70 17]: /images/20230528/ad2f2300050b494fb563525f7b35ccb9.png
[Link 1]: https://editor.csdn.net/md/?articleId=105057828
[Link 2]: https://editor.csdn.net/md/?articleId=105060454