blob: 209e2e1f0c22e97442c015d900007e2c2b011360 [file] [log] [blame]
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<title>CMSIS DSP Software Library: PID Motor Control</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javaScript" src="search/search.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css"/>
</head>
<body onload='searchBox.OnSelectItem(0);'>
<!-- Generated by Doxygen 1.7.2 -->
<script type="text/javascript"><!--
var searchBox = new SearchBox("searchBox", "search",false,'Search');
--></script>
<div class="navigation" id="top">
<div class="tabs">
<ul class="tablist">
<li><a href="index.html"><span>Main&#160;Page</span></a></li>
<li><a href="modules.html"><span>Modules</span></a></li>
<li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
<li><a href="files.html"><span>Files</span></a></li>
<li><a href="examples.html"><span>Examples</span></a></li>
<li id="searchli">
<div id="MSearchBox" class="MSearchBoxInactive">
<span class="left">
<img id="MSearchSelect" src="search/mag_sel.png"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
alt=""/>
<input type="text" id="MSearchField" value="Search" accesskey="S"
onfocus="searchBox.OnSearchFieldFocus(true)"
onblur="searchBox.OnSearchFieldFocus(false)"
onkeyup="searchBox.OnSearchFieldChange(event)"/>
</span><span class="right">
<a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
</span>
</div>
</li>
</ul>
</div>
</div>
<div class="header">
<div class="summary">
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<h1>PID Motor Control<br/>
<small>
[<a class="el" href="group__group_controller.html">Controller Functions</a>]</small>
</h1> </div>
</div>
<div class="contents">
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga9ec860bcb6f8ca31205bf0f1b51ab723">arm_pid_reset_f32</a> (<a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *S)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32</a> (<a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *S, int32_t resetStateFlag)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#gaeecbacd3fb37c608ec25474d3a0dffa9">arm_pid_reset_q31</a> (<a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *S)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31</a> (<a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *S, int32_t resetStateFlag)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga408566dacb4fa6e0458b2c75672e525f">arm_pid_reset_q15</a> (<a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *S)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15</a> (<a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *S, int32_t resetStateFlag)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#gac5c79ed46abf2d72b8cf41fa6c708bda">arm_pid_f32</a> (<a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> in)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga5f6f941e7ae981728dd3a662f8f4ecd7">arm_pid_q31</a> (<a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> in)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga084f646bbb20d55f225c3efafcf7fc1f">arm_pid_q15</a> (<a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> in)</td></tr>
</table>
<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>A Proportional Integral Derivative (PID) controller is a generic feedback control loop mechanism widely used in industrial control systems. A PID controller is the most commonly used type of feedback controller.</p>
<p>This set of functions implements (PID) controllers for Q15, Q31, and floating-point data types. The functions operate on a single sample of data and each call to the function returns a single processed value. <code>S</code> points to an instance of the PID control data structure. <code>in</code> is the input sample value. The functions return the output value.</p>
<dl class="user"><dt><b>Algorithm:</b></dt><dd><pre>
y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
A0 = Kp + Ki + Kd
A1 = (-Kp ) - (2 * Kd )
A2 = Kd </pre></dd></dl>
<dl class="user"><dt><b></b></dt><dd>where <code>Kp</code> is proportional constant, <code>Ki</code> is Integral constant and <code>Kd</code> is Derivative constant</dd></dl>
<dl class="user"><dt><b></b></dt><dd><div align="center">
<img src="PID.gif" alt="PID.gif"/>
<p><strong>Proportional Integral Derivative Controller</strong></p></div>
</dd></dl>
<dl class="user"><dt><b></b></dt><dd>The PID controller calculates an "error" value as the difference between the measured output and the reference input. The controller attempts to minimize the error by adjusting the process control inputs. The proportional value determines the reaction to the current error, the integral value determines the reaction based on the sum of recent errors, and the derivative value determines the reaction based on the rate at which the error has been changing.</dd></dl>
<dl class="user"><dt><b>Instance Structure </b></dt><dd>The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. A separate instance structure must be defined for each PID Controller. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
<dl class="user"><dt><b>Reset Functions </b></dt><dd>There is also an associated reset function for each data type which clears the state array.</dd></dl>
<dl class="user"><dt><b>Initialization Functions </b></dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
<li>Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.</li>
<li>Zeros out the values in the state buffer.</li>
</ul>
</dd></dl>
<dl class="user"><dt><b></b></dt><dd>Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.</dd></dl>
<dl class="user"><dt><b>Fixed-Point Behavior </b></dt><dd>Care must be taken when using the fixed-point versions of the PID Controller functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
<hr/><h2>Function Documentation</h2>
<a class="anchor" id="ga9ec860bcb6f8ca31205bf0f1b51ab723"></a><!-- doxytag: member="arm_pid_reset_f32.c::arm_pid_reset_f32" ref="ga9ec860bcb6f8ca31205bf0f1b51ab723" args="(arm_pid_instance_f32 *S)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_pid_reset_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *&#160;</td>
<td class="paramname"> <em>S</em>&#160;)</td>
<td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Reset function for the floating-point PID Control. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>Instance pointer of PID control data structure. </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>none. </dd></dl>
<dl class="user"><dt><b>Description: </b></dt><dd>The function resets the state buffer to zeros. </dd></dl>
<p>Definition at line <a class="el" href="arm__pid__reset__f32_8c_source.html#l00044">44</a> of file <a class="el" href="arm__pid__reset__f32_8c_source.html">arm_pid_reset_f32.c</a>.</p>
</div>
</div>
<a class="anchor" id="gae31536b19b82b93ed184fb1ab73cfcb3"></a><!-- doxytag: member="arm_pid_init_f32.c::arm_pid_init_f32" ref="gae31536b19b82b93ed184fb1ab73cfcb3" args="(arm_pid_instance_f32 *S, int32_t resetStateFlag)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_pid_init_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *&#160;</td>
<td class="paramname"> <em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int32_t&#160;</td>
<td class="paramname"> <em>resetStateFlag</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Initialization function for the floating-point PID Control. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the PID structure. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">resetStateFlag</td><td>flag to reset the state. 0 = no change in state &amp; 1 = reset the state. </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>none. </dd></dl>
<dl class="user"><dt><b>Description: </b></dt><dd></dd></dl>
<dl class="user"><dt><b></b></dt><dd>The <code>resetStateFlag</code> specifies whether to set state to zero or not. <br/>
The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code> using the proportional gain( <code>Kp</code>), integral gain( <code>Ki</code>) and derivative gain( <code>Kd</code>) also sets the state variables to all zeros. </dd></dl>
<p>Definition at line <a class="el" href="arm__pid__init__f32_8c_source.html#l00051">51</a> of file <a class="el" href="arm__pid__init__f32_8c_source.html">arm_pid_init_f32.c</a>.</p>
</div>
</div>
<a class="anchor" id="gaeecbacd3fb37c608ec25474d3a0dffa9"></a><!-- doxytag: member="arm_pid_reset_q31.c::arm_pid_reset_q31" ref="gaeecbacd3fb37c608ec25474d3a0dffa9" args="(arm_pid_instance_q31 *S)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_pid_reset_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *&#160;</td>
<td class="paramname"> <em>S</em>&#160;)</td>
<td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Reset function for the Q31 PID Control. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>Instance pointer of PID control data structure. </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>none. </dd></dl>
<dl class="user"><dt><b>Description: </b></dt><dd>The function resets the state buffer to zeros. </dd></dl>
<p>Definition at line <a class="el" href="arm__pid__reset__q31_8c_source.html#l00044">44</a> of file <a class="el" href="arm__pid__reset__q31_8c_source.html">arm_pid_reset_q31.c</a>.</p>
</div>
</div>
<a class="anchor" id="gad9d88485234fa9460b1ce9e64989ac86"></a><!-- doxytag: member="arm_pid_init_q31.c::arm_pid_init_q31" ref="gad9d88485234fa9460b1ce9e64989ac86" args="(arm_pid_instance_q31 *S, int32_t resetStateFlag)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_pid_init_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *&#160;</td>
<td class="paramname"> <em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int32_t&#160;</td>
<td class="paramname"> <em>resetStateFlag</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Initialization function for the Q31 PID Control. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 PID structure. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">resetStateFlag</td><td>flag to reset the state. 0 = no change in state 1 = reset the state. </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>none. </dd></dl>
<dl class="user"><dt><b>Description: </b></dt><dd></dd></dl>
<dl class="user"><dt><b></b></dt><dd>The <code>resetStateFlag</code> specifies whether to set state to zero or not. <br/>
The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code> using the proportional gain( <code>Kp</code>), integral gain( <code>Ki</code>) and derivative gain( <code>Kd</code>) also sets the state variables to all zeros. </dd></dl>
<p>Definition at line <a class="el" href="arm__pid__init__q31_8c_source.html#l00050">50</a> of file <a class="el" href="arm__pid__init__q31_8c_source.html">arm_pid_init_q31.c</a>.</p>
</div>
</div>
<a class="anchor" id="ga408566dacb4fa6e0458b2c75672e525f"></a><!-- doxytag: member="arm_pid_reset_q15.c::arm_pid_reset_q15" ref="ga408566dacb4fa6e0458b2c75672e525f" args="(arm_pid_instance_q15 *S)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_pid_reset_q15 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *&#160;</td>
<td class="paramname"> <em>S</em>&#160;)</td>
<td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Reset function for the Q15 PID Control. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>Instance pointer of PID control data structure. </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>none. </dd></dl>
<dl class="user"><dt><b>Description: </b></dt><dd>The function resets the state buffer to zeros. </dd></dl>
<p>Definition at line <a class="el" href="arm__pid__reset__q15_8c_source.html#l00044">44</a> of file <a class="el" href="arm__pid__reset__q15_8c_source.html">arm_pid_reset_q15.c</a>.</p>
</div>
</div>
<a class="anchor" id="ga2cb1e3d3ebb167348fdabec74653d5c3"></a><!-- doxytag: member="arm_pid_init_q15.c::arm_pid_init_q15" ref="ga2cb1e3d3ebb167348fdabec74653d5c3" args="(arm_pid_instance_q15 *S, int32_t resetStateFlag)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_pid_init_q15 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *&#160;</td>
<td class="paramname"> <em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int32_t&#160;</td>
<td class="paramname"> <em>resetStateFlag</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Initialization function for the Q15 PID Control. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 PID structure. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">resetStateFlag</td><td>flag to reset the state. 0 = no change in state 1 = reset the state. </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>none. </dd></dl>
<dl class="user"><dt><b>Description: </b></dt><dd></dd></dl>
<dl class="user"><dt><b></b></dt><dd>The <code>resetStateFlag</code> specifies whether to set state to zero or not. <br/>
The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code> using the proportional gain( <code>Kp</code>), integral gain( <code>Ki</code>) and derivative gain( <code>Kd</code>) also sets the state variables to all zeros. </dd></dl>
<p>Definition at line <a class="el" href="arm__pid__init__q15_8c_source.html#l00050">50</a> of file <a class="el" href="arm__pid__init__q15_8c_source.html">arm_pid_init_q15.c</a>.</p>
</div>
</div>
<a class="anchor" id="gac5c79ed46abf2d72b8cf41fa6c708bda"></a><!-- doxytag: member="arm_math.h::arm_pid_f32" ref="gac5c79ed46abf2d72b8cf41fa6c708bda" args="(arm_pid_instance_f32 *S, float32_t in)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_pid_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *&#160;</td>
<td class="paramname"> <em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
<td class="paramname"> <em>in</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [static]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Process function for the floating-point PID Control. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>is an instance of the floating-point PID Control structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input sample to process </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>out processed output sample. </dd></dl>
<p>Definition at line <a class="el" href="arm__math_8h_source.html#l04711">4711</a> of file <a class="el" href="arm__math_8h_source.html">arm_math.h</a>.</p>
</div>
</div>
<a class="anchor" id="ga5f6f941e7ae981728dd3a662f8f4ecd7"></a><!-- doxytag: member="arm_math.h::arm_pid_q31" ref="ga5f6f941e7ae981728dd3a662f8f4ecd7" args="(arm_pid_instance_q31 *S, q31_t in)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *&#160;</td>
<td class="paramname"> <em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
<td class="paramname"> <em>in</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [static]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Process function for the Q31 PID Control. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 PID Control structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input sample to process </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>out processed output sample.</dd></dl>
<p><b>Scaling and Overflow Behavior:</b> </p>
<dl class="user"><dt><b></b></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clip. In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. </dd></dl>
<p>Definition at line <a class="el" href="arm__math_8h_source.html#l04746">4746</a> of file <a class="el" href="arm__math_8h_source.html">arm_math.h</a>.</p>
</div>
</div>
<a class="anchor" id="ga084f646bbb20d55f225c3efafcf7fc1f"></a><!-- doxytag: member="arm_math.h::arm_pid_q15" ref="ga084f646bbb20d55f225c3efafcf7fc1f" args="(arm_pid_instance_q15 *S, q15_t in)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_pid_q15 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *&#160;</td>
<td class="paramname"> <em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
<td class="paramname"> <em>in</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [static]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Process function for the Q15 PID Control. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 PID Control structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input sample to process </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>out processed output sample.</dd></dl>
<p><b>Scaling and Overflow Behavior:</b> </p>
<dl class="user"><dt><b></b></dt><dd>The function is implemented using a 64-bit internal accumulator. Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. Lastly, the accumulator is saturated to yield a result in 1.15 format. </dd></dl>
<p>Definition at line <a class="el" href="arm__math_8h_source.html#l04794">4794</a> of file <a class="el" href="arm__math_8h_source.html">arm_math.h</a>.</p>
</div>
</div>
</div>
<!--- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Defines</a></div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="" frameborder="0"
name="MSearchResults" id="MSearchResults">
</iframe>
</div>
<hr class="footer"/><address class="footer"><small>Generated on Fri Jul 15 2011 13:16:21 for CMSIS DSP Software Library by&#160;
<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.2 </small></address>
</body>
</html>