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background-color: transparent;"></a><span style="font-size: x-small;"><a name="bookmark30" style="line-height: 13pt; text-align: justify; background-color: transparent;"><span class="20pt"><span style="font-family: SimSun;">4.</span></span></a><span class="20" style="line-height: 13pt; text-align: justify; background-color: transparent;"><span style="font-family: SimSun;"> 2</span></span><span class="20" style="line-height: 13pt; text-align: justify; background-color: transparent;">支持向量机原理</span></span></p> <div class="Section1"> <p class="21" style="margin-top:0cm;margin-right:0cm;margin-bottom:7.05pt; margin-left:0cm;text-align:justify;text-justify:inter-ideograph;text-indent: 0cm;line-height:11.0pt;mso-line-height-rule:exactly;mso-list:l0 level1 lfo1; tab-stops:16.95pt;background:transparent"><span style="font-size: x-small;"><!--[if !supportLists]--><span style="font-family: SimSun;">4.<span style="font-stretch: normal; line-height: normal; font-family: 'Times New Roman';"> </span></span><!--[endif]--><span class="2"><span style="font-family: SimSun;">2. 1</span></span><span class="2">支持向量机</span></span></p> <p class="21" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:26.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span class="2">为了处理模式识别的问题</span><span class="2TimesNewRoman26"><span lang="EN-US">Vapnik</span></span><span class="2">提出了支持向量机的想法，通过的不断研究和 探索，支持向量机知识理论取得了很大的进展。支持向量机可以被用来寻找线性可分 情况下的最优分类面。最优分类面不仅要求能将两类不同的数据正确地分类(训练失 败率接近0)，而且还要尽可能的使它们的分类间距到达最大。</span><span class="2TimesNewRoman26"><span lang="EN-US">SVM</span></span><span class="2">是为了能够寻找 到一个满足分类要求的超平面而被研发出来的，并且它需要使训练集中的点距离这个 分类面达到的距离最远，也就是说希望能够寻找到一个分类面使它双侧的空白地区尽 可能的大。过两种不同类型的样本，离分类面最近的，并且能够平行于最优分类面- 超平面</span><span class="2TimesNewRoman26"><span lang="EN-US">Hu</span></span><span class="2"><span lang="EN-US" style="font-family: SimSun;"> </span></span><span class="2TimesNewRoman26"><span lang="EN-US">H</span></span><span class="2"><sub><span style="font-family: SimSun;">2</span></sub></span><span class="2">的训练样本就称为支持向量。</span></span></p> </div> <p><span style="font-size: x-small;"> <!--[if !supportTextWrap]--> <!--[endif]--> </span></p> <p class="21" style="margin-top:12.0pt;text-align:justify;text-justify:inter-ideograph; text-indent:25.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span class="2">大多数条件下，需要训练的样本是线性不可分的，为了处理这一问题</span><span class="2TimesNewRoman26"><span lang="EN-US">Vapnik</span></span><span class="2">等 人提出了广义分类面（松弛子）的想法。针对非线性分类问题利用非线性变换将其转 化为某个高维空间中的线性问题，然后在这个高维空间上寻找最优分类面。映射空间 可以是有限维也可以是无限维的。分类函数涉及到的只是样本之间的内积运算，因此 高维度空间只需要进行内积运算即可，这种内积运算的运算形式可通过原空间自定义 的函数来实现，甚至没有必要知道其变换的形式。</span></span></p> <p class="21" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:25.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span class="2">依据</span><span class="2TimesNewRoman26"><span lang="EN-US">Hibert</span></span><span class="2"><span style="font-family: SimSun;">-</span></span><span class="2TimesNewRoman26"><span lang="EN-US">Schmidt</span></span><span class="2">定理，任意函数只要能够符合</span><span class="2TimesNewRoman26"><span lang="EN-US">Mercer</span></span><span class="2">条件就可以作为计算内 积的函数使用。它能够实现非线性分类转变为线性分类，而计算难度却是一样的。</span></span></p> <p class="21" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:25.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span class="2">通俗易懂的说支持向量机就是通过内积核函数将输入样本从低维空间映射到一 个高维空间，然后在这个高维空间上寻找最优分类面。支持向量机的形式和神经网络 非常类似<sup>[3</sup>&<sup>37]</sup>。其示意图如4.3。</span><br clear="all" style="mso-special-character:line-break;page-break-before:always" /> </span></p> <p class="21" style="margin-top:0cm;margin-right:0cm;margin-bottom:8.0pt; margin-left:0cm;text-align:justify;text-justify:inter-ideograph;text-indent: 0cm;line-height:11.0pt;mso-line-height-rule:exactly;mso-list:l1 level1 lfo2; tab-stops:17.7pt;background:transparent"><span style="font-size: x-small;"><!--[if !supportLists]--><span style="font-family: SimSun; letter-spacing: 1pt;">4.<span style="font-stretch: normal; line-height: normal; font-family: 'Times New Roman';"> </span></span><span class="2"><span style="font-family: SimSun;">2. 2</span></span><span class="2">核函数</span></span></p> <p class="21" style="margin-top:0cm;text-align:justify;text-justify:inter-ideograph; text-indent:0cm;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span class="2">内积核函数种类很多，不同的核函数有着不同的应用场合和运算形式。</span></span></p> <p class="21" align="left" style="margin: 0cm 0cm 4.75pt; text-indent: 0cm; line-height: 11pt; background: transparent;"> </p> <p><span style="font-size: x-small;"> <p class="21" align="left" style="margin: 0cm 0cm 4.75pt; text-indent: 0cm; line-height: 11pt; background: transparent;"><span class="2Tahoma"><span lang="EN-US"> </span></span></p> </span></p> <p class="21" align="left" style="margin: 0cm 0cm 4.75pt; text-indent: 0cm; line-height: 11pt; background: transparent;"><st1:chsdate year="1899" month="12" day="30" islunardate="False" isrocdate="False" w:st="on"></st1:chsdate><span style="font-size: x-small;"><st1:chsdate year="1899" month="12" day="30" islunardate="False" isrocdate="False" w:st="on"><span class="2Tahoma"><span lang="EN-US">4</span></span><span class="2TimesNewRoman12"><span lang="EN-US">. </span></span><span class="2Tahoma"><span lang="EN-US">2</span></span><span class="2TimesNewRoman12"><span lang="EN-US">. </span></span><span class="2Tahoma">4</span></st1:chsdate><span class="2">支持向量机逆系统</span></span></p> <div><span style="font-size: x-small;"><span class="2" style="line-height: 20.1333332061768px; text-align: center;"><span lang="EN-US"> 龙门数控加工中心双电磁悬浮具有较强的耦合性，为了达到对其解耦本文采用逆 系统解耦控制方法。但是由于电磁悬浮系统是非线性系统因此其逆系统是不易通过计 算推导出来的。为了解决这一问题利用支持向量机非线性回归任意逼近函数的功能来 拟合双电磁悬浮系统的逆系统</span><sup>[43</sup>_<sup>45]</sup><span lang="EN-US">。</span></span><span class="2" style="line-height: 20.1333332061768px; text-align: center;">支持向量机拟合耦合双电磁悬浮系统</span><span class="2TimesNewRoman26" style="line-height: 20.1333332061768px; text-align: center;"><span lang="EN-US">a</span></span><span class="2" style="line-height: 20.1333332061768px; text-align: center;">阶逆系 统流程图如图<span lang="EN-US" style="font-family: SimSun;">4.4</span>所示。</span></span></div> <p><span style="font-size: x-small;"> <!--[if !supportTextWrap]--> <!--[endif]--> </span></p> <p class="21" style="margin-top:12.7pt;text-align:justify;text-justify:inter-ideograph; text-indent:24.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size: x-small;"><span class="2">将拟合出来的逆系统串联在被控系统前将非线性耦合系统解耦并且转化为具有</span><span class="2"> </span><span class="2">线性特征的伪线性系统</span><span class="2">，</span><span class="2">从而降低了解耦后独立系统的控制难度。</span></span></p> <p class="21" style="margin-top:12.7pt;text-align:justify;text-justify:inter-ideograph; text-indent:24.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"> </p> <p class="21" style="margin-top:12.7pt;text-align:justify;text-justify:inter-ideograph; text-indent:24.0pt;line-height:23.3pt;mso-line-height-rule:exactly;background: transparent"><span style="font-size:9.0pt;font-family:宋体;mso-ascii-font-family: "Times New Roman";mso-hansi-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman";mso-font-kerning:1.0pt;mso-ansi-language:EN-US;mso-fareast-language: ZH-CN;mso-bidi-language:AR-SA">本文采摘自“数控加工中心龙门磁悬浮系统耦合分析及控制研究”，因为编辑困难导致有些函数、表格、图片、内容无法显示，有需要者可以在网络中查找相关文章！本文由伯特利数控整理发表文章均来自网络仅供学习参考，转载请注明！</span></p></div> <div class="blank30"></div> <!-- tag --> <div class="blank10"></div> 标签： <a href='/index.php?case=tag&act=show&tag=%E9%BE%99%E9%97%A8%E5%8A%A0%E5%B7%A5%E4%B8%AD%E5%BF%83' target='_blank'>龙门加工中心</a> <a href='/index.php?case=tag&act=show&tag=%E5%8A%A0%E5%B7%A5%E4%B8%AD%E5%BF%83' target='_blank'>加工中心</a> <a href='/index.php?case=tag&act=show&tag=%E6%95%B0%E6%8E%A7%E5%8A%A0%E5%B7%A5%E4%B8%AD%E5%BF%83' target='_blank'>数控加工中心</a> <a href='/index.php?case=tag&act=show&tag=CNC%E5%8A%A0%E5%B7%A5%E4%B8%AD%E5%BF%83' target='_blank'>CNC加工中心</a> <!-- 分类 --> <div class="blank10"></div> 分类： <a href='/bethel/type/jnc/type-1.html' target='_blank'>加工中心</a> <div class="blank30"></div> <!--自动调用自定义字段--> <div class="blank20"></div> <div class="blank30"></div> <!-- 投票 --> <script src="/index.php?case=vote&act=view&aid=798"></script> <!-- 自定义表单开始 --> <!-- 自定义表单结束 --> <div class="blank60"></div> <!-- 上下页开始 --> <div id="page"> <strong>上一篇</strong><a href="/bethel/news/show_797.html">数控加工中心双悬浮系统支持向量机a阶逆解耦控制</a> <div class="blank10"></div> <strong>下一篇</strong><a 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target="_blank">U600S五轴加工中心视频</a></h4> <p>此视频详细介绍了U600S高性能五轴加工中心各种参数及说明！… <a href="/bethel/video/show-3042.html" target="_blank">[了解更多]</a></p> </div> <div class="news-list list-border list-border-w"> <div class="list-date"> <span>05</span> <p>2024-11</p> </div> <h4><a title="六角亭五轴加工工艺" href="/bethel/5-aix/show-2966.html" target="_blank">六角亭五轴加工工艺</a></h4> <p>本文以组合式六角亭模型为实例，分析工艺难点与加工可行性，指出该模型的加工难点是模型形状不规则和整体刚性差，并通过设计新的工艺方案解决加工难点，完成了模型整体的加工。新的加工工艺有助于提高加工效率和精度，为五轴数控加工提供了一个典型案例，对于五轴加工中心数控加工也具有指导作用和重要… <a href="/bethel/5-aix/show-2966.html" target="_blank">[了解更多]</a></p> </div> <div class="news-list list-border list-border-w"> <div class="list-date"> <span>05</span> <p>2024-11</p> </div> <h4><a title="自适应控制方法在混联五轴加工中心中的应用" href="/bethel/5-aix/show-2965.html" target="_blank">自适应控制方法在混联五轴加工中心中的应用</a></h4> <p>宇匠数控 备注：为保证文章的完整度，本文核心内容由PDF格式显示，如未有显示请刷新或转换浏览器尝试，手机浏览可能无法正常使用！本文摘要：通过对混联五轴加工中心自适应深度学习控制方法的 研 究，可 知 此 方 法 的 创 新 之 处 在 于：１）建 立 了 机 床 的 运 动 学 … <a href="/bethel/5-aix/show-2965.html" 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