传递函数化为状态空间表达式

刺骨的言语ヽ痛彻心扉 2022-12-02 12:26 64阅读 0赞

##  G ( s ) = N ( s ) D ( s ) G(s)=\\frac\{N(s)\}\{D(s)\} G(s)=D(s)N(s) 的串联分解形式 ##

#### 可控标准型 ####

![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70_pic_center]

#### 可观测标准型 ####

![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70]  ![在这里插入图片描述][20200830220120399.png]  ![在这里插入图片描述][20200830220252324.png]

#### 实例 ####

![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70_pic_center 1]

##  G ( s ) = N ( s ) D ( s ) G(s)=\\frac\{N(s)\}\{D(s)\} G(s)=D(s)N(s) 的并联分解形式 ##

<table> 
 <thead> 
  <tr> 
   <th>状态变量</th> 
   <th>状态空间表达式</th> 
  </tr> 
 </thead> 
 <tbody> 
  <tr> 
   <td><img src="https://img-blog.csdnimg.cn/20200830222041429.png" alt="在这里插入图片描述" width="150" height="55"></td> 
   <td><img src="https://img-blog.csdnimg.cn/20200830221212282.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw==,size_16,color_FFFFFF,t_70#pic_center" alt="在这里插入图片描述" width="300" height="280"></td> 
  </tr> 
  <tr> 
   <td><img src="https://img-blog.csdnimg.cn/20200830222155886.png#pic_center" alt="在这里插入图片描述" width="150" height="55"></td> 
   <td><img src="https://img-blog.csdnimg.cn/20200830222221511.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw==,size_16,color_FFFFFF,t_70#pic_center" alt="在这里插入图片描述" width="350" height="280"></td> 
  </tr> 
 </tbody> 
</table>

其中：  
![在这里插入图片描述][20200830221327726.png_pic_center]  
![在这里插入图片描述][20200830221402424.png_pic_center]

![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70 1]  ![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70 2]

[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70_pic_center]: /images/20221123/ec1e1b75187446028498fea2f2c6b98e.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70]: https://img-blog.csdnimg.cn/20200830220045775.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw==,size_16,color_FFFFFF,t_70
[20200830220120399.png]: https://img-blog.csdnimg.cn/20200830220120399.png
[20200830220252324.png]: /images/20221123/a2badb0712ab487ebbbfd0939087099f.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70_pic_center 1]: /images/20221123/d1efd6f3591e486c8915c08d1e856672.png
[20200830221327726.png_pic_center]: /images/20221123/e6528fee0a8547c58227fb2e46cb82d3.png
[20200830221402424.png_pic_center]: /images/20221123/3da88cdd86c1405bb4490b5b12f31209.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70 1]: https://img-blog.csdnimg.cn/20200830222806464.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw==,size_16,color_FFFFFF,t_70
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80Mzk2NDk5Mw_size_16_color_FFFFFF_t_70 2]: /images/20221123/4d5b71637fd54e3f847da9268d381e25.png