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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd"> <html> <head> <title>page_4</title> <link rel="stylesheet" href="reset.css" type="text/css" media="all"> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> </head> <body> <table summary="top nav" border="0" width="100%"> <tr> <td align="left" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_3.html">< previous page</a></td> <td id="ebook_previous" align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_4</strong></td> <td align="right" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_5.html">next page ></a></td> </tr> <tr> <td id="ebook_page" align="left" colspan="3" style="background: #ffffff; padding: 20px;"> <table border="0" width="100%" cellpadding="0"><tr><td align="center"> <table border="0" cellpadding="2" cellspacing="0" width="100%"><tr><td align="left"></td> <td align="right"></td> </tr></table></td></tr><tr><td align="left"><p></p><table border="0" cellspacing="0" cellpadding="0" width="100%"><tr><td align="right"><font face="Times New Roman, Times, Serif" size="2" color="#FF0000">Page 4</font></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3">achieve a useful set of tasks requiring translational motion. The plant alone is an actuated connection of mechanical components. To move purposefully, the hardware must be augmented with sensors and a control system. The control system inputs are the measured (or estimated) and the commanded values of key system variables. When properly designed, the control system outputs the actuation signals necessary to force the system variables to their desired values [33, 47, 98, 128]. If the system is to be capable of high-performance translational motion, then it must be capable of accurately determining either its local (i.e., landmark-relative) or world coordinates. This is the purpose of a navigation system. Based on the <i>navigation state</i> (e.g., position, velocity, attitude), planning and guidance systems with knowledge of the desired objectives for the plant determine and output a trajectory in the appropriate coordinate system for input to the control system.</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="17"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3">1.2<br />Simplified Navigation Examples</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3">In this section three simplified navigation-system examples are presented. The examples are simplified with the assumptions that the world is two dimensional, flat, and nonaccelerating. Navigation-system equations applicable under more realistic conditions are derived in Chap. 6. The objectives of the examples are</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3"> to exemplify and motivate the necessity of various concepts that are summarized in Section 1.3 and discussed in greater detail in the rest of the book</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3"> to compare various approaches to the solution of the navigation problem</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3"> to exemplify and motivate various aspects of each approach and the design philosophy for the remainder of this book</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3">In each of the examples considered in the remainder of this section, only two coordinate frames (see Figs. 1.2 and 1.4) are involved<i>body frame</i> and <i>navigation frame</i>. The body-frame coordinate system, denoted as (<i>u, v, w</i>), is rigidly attached to the vehicle at the center of gravity with the <i>u</i> axis pointing forward, the <i>w</i> axis pointing down, and the <i>v</i> axis completing a right-hand coordinate system. The navigation-frame coordinate system, denoted as (<i>n, e, d</i>), has axes pointing north, east, and down. For these simplified examples (in this introductory chapter), the navigation frame is considered to be nonaccelerating. Also, by the two-dimensional assumption, altitude, pitch, and roll are also assumed to be zero. The navigation- and the body-frame coordinate systems can be aligned by rotation of the navigation frame by an angle </font><font face="Symbol" size="3"><i>y</i></font><font face="Times New Roman, Times, Serif" size="3"> about its <i>w</i> axis</font><font face="Times New Roman, Times, Serif" size="2"><sup>**</sup></font><font face="Times New Roman, Times, Serif" size="3">.</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3">In these examples, <img src="5c47583ee5ef48cb45d469b4200f13c3.gif" border="0" alt="STIGCIRC.GIF" width="14" height="23" /> and <img src="598bb48a025cb2f8a1c47721e22e7138.gif" border="0" alt="STIGTILDE.GIF" width="14" height="23" /> denote the estimated and the measured values of the generic variable </font><font face="Symbol" size="3">z</font><font face="Times New Roman, Times, Serif" size="3">, respectively. This notation is used throughout the book. Notation and constants are defined in App. A.</font><font face="Times New Roman, Times, Serif" size="3" color="#FFFF00"></font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0" width="100%"><tr><td rowspan="5"><img src="f7703d30723feae8ee39d997c6419c20.gif" border="0" width="24" height="1" alt="f7703d30723feae8ee39d997c6419c20.gif" /></td> <td colspan="3" height="12"></td> <td rowspan="5"><img src="f7703d30723feae8ee39d997c6419c20.gif" border="0" width="24" height="1" alt="f7703d30723feae8ee39d997c6419c20.gif" /></td></tr><tr><td colspan="3" height="1"><table cellpadding="0" cellspacing="0" border="0"><tr><td></td></tr></table></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="2"><sup>**</sup>Throughout this text all angles are expressed positively as defined by the right-hand rule.</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table></td></tr></table><p><font size="0"></font></p>聽 </td> </tr> <tr> <td align="left" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_3.html">< previous page</a></td> <td id="ebook_next" align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_4</strong></td> <td align="right" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_5.html">next page ></a></td> </tr> </table> </body> </html>⌨️ 快捷键说明
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