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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple><div class=WordSection1><p class=MsoNormal align=center style='text-align:center'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>Master’s Thesis Defense<o:p></o:p></span></b></p><p class=MsoNormal align=center style='text-align:center'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></b></p><p class=MsoNormal align=center style='text-align:center'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>Name: Guoyan Cao<o:p></o:p></span></b></p><p class=MsoNormal align=center style='text-align:center'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>Title: Modeling and LPV Control for Horizontal Axis Wind Turbine<o:p></o:p></span></b></p><p class=MsoNormal align=center style='text-align:center'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>Time: 10/28/2011 11:30 am<o:p></o:p></span></b></p><p class=MsoNormal align=center style='text-align:center'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>Location: Mechanical Engineering Large Conference Room 202<o:p></o:p></span></b></p><p class=MsoNormal align=left style='text-align:left'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></b></p><p class=MsoNormal align=left style='text-align:left'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>Committee menbers: Professor </span></b><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>Karolos Grigoriadis<o:p></o:p></span></b></p><p class=MsoNormal align=left style='text-align:left'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'> Professor Jagannatha R. Rao<o:p></o:p></span></b></p><p class=MsoNormal align=left style='text-align:left'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'> Professor Michael Nikolaou<o:p></o:p></span></b></p><p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;text-align:center;line-height:32.0pt;mso-line-height-rule:exactly'><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>Abstract</span></b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><o:p></o:p></span></p><p class=MsoNormal><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>This thesis begins with an introduction of the operation principles and the control objectives of horizontal axis wind turbines. Then by means of Kane’s method, a modeling of horizontal axis wind turbines is constructed and used as plantform for linearization. Latter, 2 degrees of freedom and 8 degrees of freedom linearized models are obtained ananlyticly and numerically respectively. <o:p></o:p></span></b></p><p class=MsoNormal><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>Linear parameter varying (LPV) controllers are developed on the basis of the linearized models. Firstly, a generalized LPV model is identified with the wind speed as the varying parameter. Secondly, the gain-scheduling </span></b><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span style='font-size:11.0pt;font-family:"Cambria Math","serif";font-weight:bold'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><b><span style='font-size:11.0pt;font-family:"Cambria Math","serif"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="b"/></m:rPr>H</m:r></span></b></m:e><m:sub><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="b"/></m:rPr>∞</m:r></span></b></m:sub></m:sSub></m:oMath><![endif]--><![if !msEquation]><span style='font-size:10.5pt;font-family:"Calibri","sans-serif";position:relative;top:2.5pt;mso-text-raise:-2.5pt'><img width=19 height=17 id="_x0000_i1025" src="cid:image003.png@01CC93EC.49B95770"></span><![endif]><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'> control concept is used and realized in a LPV controller framework by means of the solution of linear matrices inequalities (LMIs). Thirdly, LPV controllers are designed and validated on different LPV models. Finally, the corresponding results are explained and shown to meet the control objetives. <o:p></o:p></span></b></p><p class=MsoNormal><b><span style='font-size:11.0pt;font-family:"Times New Roman","serif"'>The models of horizontal axis wind turbins are extracted from FAST code and all the simulations of LPV control are implemented in an interface of FAST with Simulink. Therefore, the background of FAST and its numerically linearization are also described in this thesis. A conclusion is presented and further work is discussed on developing multi-objective LPV controllers.<o:p></o:p></span></b></p><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p></div></body></html>