Volume : 7, Issue : 1, January - 2018

FLIGHT PATH CONTROL FOR UNMANNED AERIAL VEHICLE

Nasruldeen . A. Almaeyoufi

Abstract :

<p>&nbsp;</p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in"><span style="mso-spacerun:yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>Planning&nbsp;UAV&nbsp;missions&nbsp;is&nbsp;a&nbsp;difficult&nbsp;problem<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">due&nbsp;a&nbsp;host&nbsp;of&nbsp;real-world&nbsp;complexities,&nbsp;including<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">the&nbsp;presence&nbsp;of&nbsp;vehicle&nbsp;constraints,&nbsp;poorly&nbsp;known<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">obstacle&nbsp;locations,&nbsp;and&nbsp;dynamic&nbsp;information&nbsp;up-<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">dates&nbsp;&nbsp;that&nbsp;&nbsp;require&nbsp;&nbsp;re-planning.&nbsp;&nbsp;In&nbsp;&nbsp;addition,&nbsp;&nbsp;these<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">sophisticated&nbsp;&nbsp;optimization&nbsp;&nbsp;problems&nbsp;&nbsp;must&nbsp;&nbsp;be&nbsp;sol-<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">ved&nbsp;efficiently&nbsp;for&nbsp;them&nbsp;to&nbsp;be&nbsp;of&nbsp;any&nbsp;use&nbsp;in&nbsp;real-ti-<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">me&nbsp;planning.&nbsp;Fig.&nbsp;1&nbsp;&ndash;&nbsp;illustrates&nbsp;a&nbsp;simple&nbsp;abstract<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">UAV&nbsp;mission.&nbsp;In&nbsp;this&nbsp;mission,&nbsp;we&nbsp;have&nbsp;3&nbsp;points<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">(A, B, C) which represent the flight path for UAV.<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">The&nbsp;flight&nbsp;path&nbsp;of&nbsp;the&nbsp;above&nbsp;mission&nbsp;is&nbsp;divided<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">into 3 sections:&nbsp;<!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";font-style:italic;mso-bidi-font-style: normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style=‘mso-bidi-font-style: normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>R</m:r></span></i></m:e><m:sub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>A</m:r></span></i></m:sub></m:sSub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>(</m:r></span></i><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";mso-ansi-language:DE;font-style:italic; mso-bidi-font-style:normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style=‘mso-bidi-font-style:normal‘><span lang=DE style=‘font-family:"Camia Math","serif"; mso-ansi-language:DE‘><m:r>t</m:r></span></i></m:e><m:sub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>0</m:r></span></i></m:sub></m:sSub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>,&nbsp;</m:r></span></i><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";mso-ansi-language:DE;font-style:italic; mso-bidi-font-style:normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style=‘mso-bidi-font-style:normal‘><span lang=DE style=‘font-family:"Camia Math","serif"; mso-ansi-language:DE‘><m:r>t</m:r></span></i></m:e><m:sub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>1</m:r></span></i></m:sub></m:sSub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>),&nbsp;</m:r></span></i><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";mso-ansi-language:DE;font-style:italic; mso-bidi-font-style:normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style=‘mso-bidi-font-style:normal‘><span lang=DE style=‘font-family:"Camia Math","serif"; mso-ansi-language:DE‘><m:r>R</m:r></span></i></m:e><m:sub><i style=‘mso-bidi-font-style:normal‘><span lang=DE style=‘font-family:"Camia Math","serif"; mso-ansi-language:DE‘><m:r>B</m:r></span></i></m:sub></m:sSub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>(</m:r></span></i><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";mso-ansi-language:DE;font-style:italic; mso-bidi-font-style:normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style=‘mso-bidi-font-style:normal‘><span lang=DE style=‘font-family:"Camia Math","serif"; mso-ansi-language:DE‘><m:r>t</m:r></span></i></m:e><m:sub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>1</m:r></span></i></m:sub></m:sSub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>,</m:r></span></i><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";font-style:italic;mso-bidi-font-style: normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style=‘mso-bidi-font-style: normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>t</m:r></span></i></m:e><m:sub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>2</m:r></span></i></m:sub></m:sSub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>),</m:r></span></i><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; 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mso-hansi-font-family:"Camia Math";mso-ansi-language:DE;font-style:italic; mso-bidi-font-style:normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style=‘mso-bidi-font-style:normal‘><span lang=DE style=‘font-family:"Camia Math","serif"; mso-ansi-language:DE‘><m:r>t</m:r></span></i></m:e><m:sub><i style=‘mso-bidi-font-style:normal‘><span lang=DE style=‘font-family:"Camia Math","serif"; mso-ansi-language:DE‘><m:r>C</m:r></span></i></m:sub></m:sSub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>).</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-size:11.0pt;line-height:107%;font-family:&quot;Calii&quot;,&quot;sans-serif&quot;;&#10;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:&quot;Times New Roman&quot;;&#10;mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:minor-latin;&#10;mso-bidi-font-family:&quot;Times New Roman&quot;;mso-bidi-theme-font:minor-bidi;&#10;position:relative;top:2.5pt;mso-text-raise:-2.5pt;mso-ansi-language:EN-US;&#10;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"> <v:f eqn="sum @0 1 0"> <v:f eqn="sum 0 0 @1"> <v:f eqn="prod @2 1 2"> <v:f eqn="prod @3 21600 pixelWidth"> <v:f eqn="prod @3 21600 pixelHeight"> <v:f eqn="sum @0 0 1"> <v:f eqn="prod @6 1 2"> <v:f eqn="prod @7 21600 pixelWidth"> <v:f eqn="sum @8 21600 0"> <v:f eqn="prod @7 21600 pixelHeight"> <v:f eqn="sum @10 21600 0"> </v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"> <o:lock v:ext="edit" aspectratio="t"> </o:lock></v:path></v:stroke></v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style="width:135pt;&#10; height:13.5pt"> <v:imagedata src="file:///C:UsersWWJ-08AppDataLocalTempmsohtmlclip11clip_image001.png" o:title="" chromakey="white"> </v:imagedata></v:shape></span><!--[endif]--><o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in"><span style="mso-spacerun:yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun:yes">&nbsp;&nbsp;</span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";font-style:italic;mso-bidi-font-style: normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style=‘mso-bidi-font-style: normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>R</m:r></span></i></m:e><m:sub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>A</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-size:11.0pt;line-height:107%;font-family:&quot;Calii&quot;,&quot;sans-serif&quot;;&#10;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:&quot;Times New Roman&quot;;&#10;mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:minor-latin;&#10;mso-bidi-font-family:&quot;Times New Roman&quot;;mso-bidi-theme-font:minor-bidi;&#10;position:relative;top:2.5pt;mso-text-raise:-2.5pt;mso-ansi-language:EN-US;&#10;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><v:shape id="_x0000_i1025" type="#_x0000_t75" style="width:10.5pt;height:12pt"> <v:imagedata src="file:///C:UsersWWJ-08AppDataLocalTempmsohtmlclip11clip_image002.png" o:title="" chromakey="white"> </v:imagedata></v:shape></span><!--[endif]-->- The&nbsp;flight&nbsp;path&nbsp;of&nbsp;UAV&nbsp;into&nbsp;the&nbsp;zone&nbsp;of&nbsp;<o:p></o:p></p> <p class="Abstract" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;layout-grid-mode:char"><span style="font-size:10.0pt;font-weight:normal">the main tasks.<o:p></o:p></span></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%"><b style="mso-bidi-font-weight:normal"><span style="mso-spacerun:yes">&nbsp;&nbsp; </span><span style="mso-spacerun:yes">&nbsp;&nbsp;</span></b><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";font-style:italic;mso-bidi-font-style: normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><b style=‘mso-bidi-font-weight: normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>R</m:r></span></i></b></m:e><m:sub><b style=‘mso-bidi-font-weight:normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>B</m:r></span></i></b></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-size:11.0pt;line-height:107%;font-family:&quot;Calii&quot;,&quot;sans-serif&quot;;&#10;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:&quot;Times New Roman&quot;;&#10;mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:minor-latin;&#10;mso-bidi-font-family:&quot;Times New Roman&quot;;mso-bidi-theme-font:minor-bidi;&#10;position:relative;top:2.5pt;mso-text-raise:-2.5pt;mso-ansi-language:EN-US;&#10;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><v:shape id="_x0000_i1025" type="#_x0000_t75" style="width:12.75pt;height:12pt"> <v:imagedata src="file:///C:UsersWWJ-08AppDataLocalTempmsohtmlclip11clip_image003.png" o:title="" chromakey="white"> </v:imagedata></v:shape></span><!--[endif]--><b style="mso-bidi-font-weight:normal">-</b>The&nbsp;&nbsp;flight&nbsp;&nbsp;path&nbsp;&nbsp;of&nbsp;&nbsp;UAV&nbsp;&nbsp;to&nbsp;&nbsp;implement&nbsp;<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">main purpose (monitoring the target).<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%"><span style="mso-spacerun:yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";font-style:italic;mso-bidi-font-style: normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style=‘mso-bidi-font-style: normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>R</m:r></span></i></m:e><m:sub><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r>C</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-size:11.0pt;line-height:107%;font-family:&quot;Calii&quot;,&quot;sans-serif&quot;;&#10;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:&quot;Times New Roman&quot;;&#10;mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:minor-latin;&#10;mso-bidi-font-family:&quot;Times New Roman&quot;;mso-bidi-theme-font:minor-bidi;&#10;position:relative;top:2.5pt;mso-text-raise:-2.5pt;mso-ansi-language:EN-US;&#10;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><v:shape id="_x0000_i1025" type="#_x0000_t75" style="width:11.25pt;height:12pt"> <v:imagedata src="file:///C:UsersWWJ-08AppDataLocalTempmsohtmlclip11clip_image004.png" o:title="" chromakey="white"> </v:imagedata></v:shape></span><!--[endif]-->- The&nbsp;end&nbsp;of&nbsp;the&nbsp;mission&nbsp;and&nbsp;trajectory&nbsp;of&nbsp;<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">the UAV&nbsp;to the place of landing.<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%"><span style="mso-spacerun:yes">&nbsp;&nbsp;&nbsp;&nbsp; </span>As&nbsp;a&nbsp;rule,&nbsp;it&nbsp;is&nbsp;the&nbsp;return&nbsp;to&nbsp;the&nbsp;starting&nbsp;point,&nbsp;<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in"><!--[if gte msEquation 12]><m:oMath><b style=‘mso-bidi-font-weight: normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>(</m:r></span></i></b><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";font-style:italic;mso-bidi-font-style: normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><b style=‘mso-bidi-font-weight: normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>t</m:r></span></i></b></m:e><m:sub><b style=‘mso-bidi-font-weight:normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>0</m:r></span></i></b></m:sub></m:sSub><b style=‘mso-bidi-font-weight:normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>)</m:r></span></i></b></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-size:11.0pt;line-height:107%;font-family:&quot;Calii&quot;,&quot;sans-serif&quot;;&#10;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:&quot;Times New Roman&quot;;&#10;mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:minor-latin;&#10;mso-bidi-font-family:&quot;Times New Roman&quot;;mso-bidi-theme-font:minor-bidi;&#10;position:relative;top:2.5pt;mso-text-raise:-2.5pt;mso-ansi-language:EN-US;&#10;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><v:shape id="_x0000_i1025" type="#_x0000_t75" style="width:17.25pt;height:12pt"> <v:imagedata src="file:///C:UsersWWJ-08AppDataLocalTempmsohtmlclip11clip_image005.png" o:title="" chromakey="white"> </v:imagedata></v:shape></span><!--[endif]--><b style="mso-bidi-font-weight:normal">and</b><!--[if gte msEquation 12]><m:oMath><b style=‘mso-bidi-font-weight:normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>(</m:r></span></i></b><m:sSub><m:sSubPr><span style=‘font-family:"Camia Math","serif";mso-ascii-font-family:"Camia Math"; mso-hansi-font-family:"Camia Math";font-style:italic;mso-bidi-font-style: normal‘><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><b style=‘mso-bidi-font-weight: normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>t</m:r></span></i></b></m:e><m:sub><b style=‘mso-bidi-font-weight:normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>C</m:r></span></i></b></m:sub></m:sSub><b style=‘mso-bidi-font-weight:normal‘><i style=‘mso-bidi-font-style:normal‘><span style=‘font-family:"Camia Math","serif"‘><m:r><m:rPr><m:scr m:val="roman" /><m:sty m:val="bi" /></m:rPr>)</m:r></span></i></b></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-size:11.0pt;line-height:107%;font-family:&quot;Calii&quot;,&quot;sans-serif&quot;;&#10;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:&quot;Times New Roman&quot;;&#10;mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:minor-latin;&#10;mso-bidi-font-family:&quot;Times New Roman&quot;;mso-bidi-theme-font:minor-bidi;&#10;position:relative;top:2.5pt;mso-text-raise:-2.5pt;mso-ansi-language:EN-US;&#10;mso-fareast-language:EN-US;mso-bidi-language:AR-SA"><v:shape id="_x0000_i1025" type="#_x0000_t75" style="width:17.25pt;height:12pt"> <v:imagedata src="file:///C:UsersWWJ-08AppDataLocalTempmsohtmlclip11clip_image006.png" o:title="" chromakey="white"> </v:imagedata></v:shape></span><!--[endif]-->&nbsp;respectively,&nbsp;the&nbsp;start&nbsp;time&nbsp;and&nbsp;&nbsp;the&nbsp;<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in">time of ending mission.<o:p></o:p></p> <p class="MsoBodyText" style="text-align:justify;text-justify:kashida;text-kashida:&#10;0%;text-indent:0in"><o:p>&nbsp;</o:p></p>

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Nasruldeen .A. Almaeyoufi, FLIGHT PATH CONTROL FOR UNMANNED AERIAL VEHICLE, GLOBAL JOURNAL FOR RESEARCH ANALYSIS : VOLUME-7, ISSUE-1, JANUARY-2018


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