滑模观测器重要参考文献

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滑模观测器重要参考文献,对于搭建滑模扰动观测器有重要借鉴价值
滑模观测器论文.zip
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内容介绍
<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/628e7d92779a5637ba3a484c/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/628e7d92779a5637ba3a484c/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">IET Power Electronics</div><div class="t m0 x1 h3 y2 ff2 fs0 fc0 sc0 ls0 ws0">Research Article</div><div class="t m0 x1 h4 y3 ff3 fs1 fc0 sc0 ls0 ws0">Robust three-vector-based <span class="fc2 sc0">low-complexity</span></div><div class="t m0 x1 h4 y4 ff3 fs1 fc0 sc0 ls0 ws0"><span class="fc2 sc0">model </span><span class="fc2 sc0">predictive </span><span class="fc2 sc0">current </span><span class="fc2 sc0">control</span> with</div><div class="t m0 x1 h4 y5 ff3 fs1 fc0 sc0 ls0 ws0">supertwisting-algorithm-based second-order</div><div class="t m0 x1 h4 y6 ff3 fs1 fc0 sc0 ls0 ws0">sliding-mode observer for permanent magnet</div><div class="t m0 x1 h4 y7 ff3 fs1 fc0 sc0 ls0 ws0">synchronous motor</div><div class="t m0 x2 h5 y8 ff1 fs2 fc0 sc0 ls0 ws0">ISSN 1755-4535</div><div class="t m0 x2 h5 y9 ff1 fs2 fc0 sc0 ls0 ws0">Received on 29th July 2018</div><div class="t m0 x2 h5 ya ff1 fs2 fc0 sc0 ls0 ws0">Revised 13th June 2019</div><div class="t m0 x2 h5 yb ff1 fs2 fc0 sc0 ls0 ws0">Accepted on 19th June 2019</div><div class="t m0 x2 h5 yc ff1 fs2 fc0 sc0 ls0 ws0">E-First on 13th August 2019</div><div class="t m0 x2 h5 yd ff1 fs2 fc0 sc0 ls0 ws0">doi: 10.1049/iet-pel.2018.5750</div><div class="t m0 x2 h5 ye ff1 fs2 fc0 sc0 ls0 ws0">www</div><div class="t m0 x3 h5 yf ff1 fs2 fc0 sc0 ls0 ws0">.ietdl.org</div><div class="t m0 x1 h6 y10 ff2 fs3 fc0 sc0 ls0 ws0">Y<span class="_ _0"></span>anping Xu</div><div class="t m0 x4 h6 y11 ff2 fs2 fc0 sc0 ls0 ws0">1<span class="fs3"> </span></div><div class="t m0 x5 h6 y12 ff2 fs3 fc0 sc0 ls0 ws0">, Xianhua Ding</div><div class="t m0 x6 h7 y13 ff2 fs2 fc0 sc0 ls0 ws0">1</div><div class="t m0 x7 h6 y12 ff2 fs3 fc0 sc0 ls0 ws0">, Jibing W</div><div class="t m0 x8 h6 y14 ff2 fs3 fc0 sc0 ls0 ws0">ang</div><div class="t m0 x9 h7 y15 ff2 fs2 fc0 sc0 ls0 ws0">1</div><div class="t m0 xa h6 y14 ff2 fs3 fc0 sc0 ls0 ws0">, Chen Wang</div><div class="t m0 xb h7 y15 ff2 fs2 fc0 sc0 ls0 ws0">1</div><div class="t m0 x1 h8 y16 ff2 fs4 fc0 sc0 ls0 ws0">1</div><div class="t m0 xc h9 y17 ff2 fs5 fc0 sc0 ls0 ws0">Department of Electrical Engineering, Xi'an University of T<span class="_ _0"></span>echnology<span class="_ _1"></span>, Xi'an, People's Republic of China</div><div class="t m0 xd h9 y18 ff2 fs5 fc0 sc0 ls0 ws0"> E-mail: xuyp@xaut.edu.cn</div><div class="t m0 x1 ha y19 ff3 fs6 fc0 sc0 ls0 ws0">Abstract: <span class="_ _2"></span><span class="ff1">This </span></div><div class="t m0 xe ha y1a ff1 fs6 fc0 sc0 ls0 ws0">study <span class="_ _2"></span>presents <span class="_ _2"></span>a <span class="_ _2"></span>robust <span class="_ _2"></span>three-vector-based <span class="_ _2"></span>low-complexity <span class="_ _2"></span>model <span class="_ _2"></span>predictive <span class="_ _2"></span>current <span class="_ _2"></span>control <span class="_ _2"></span>with <span class="_ _2"></span>supertwisting-</div><div class="t m0 x1 ha y1b ff1 fs6 fc0 sc0 ls0 ws0">algorithm-based <span class="_ _2"></span>second-order <span class="_ _3"> </span>sliding-mode <span class="_ _2"></span>observer <span class="_ _3"> </span>for <span class="_ _2"></span>permanent <span class="_ _3"> </span>magnet <span class="_ _2"></span>synchronous <span class="_ _3"> </span>motor <span class="_ _2"></span>(PMSM). <span class="_ _3"> </span>First, <span class="_ _2"></span>to <span class="_ _3"> </span>reduce <span class="_ _2"></span>the</div><div class="t m0 x1 ha y1c ff1 fs6 fc0 sc0 ls0 ws0">computational <span class="_ _2"></span>complexity <span class="_ _2"></span>of <span class="_ _4"></span>the <span class="_ _4"></span>three-vector-based <span class="_ _2"></span>model <span class="_ _2"></span>predictive <span class="_ _4"></span>current <span class="_ _2"></span>control,<span class="fc2 sc0"> </span><span class="_ _2"></span><span class="fc2 sc0">the </span><span class="_ _4"></span><span class="fc2 sc0">optimal </span><span class="_ _2"></span><span class="fc2 sc0">voltage </span><span class="_ _2"></span><span class="fc2 sc0">vector </span><span class="_ _4"></span><span class="fc2 sc0">combination</span> <span class="_ _2"></span>is</div><div class="t m0 x1 ha y1d ff1 fs6 fc0 sc0 ls0 ws0">directly determined <span class="_ _4"></span>by the <span class="_ _4"></span>sector of <span class="_ _5"></span>desired voltage <span class="_ _5"></span>vector<span class="_ _1"></span>. <span class="_ _5"></span>Second, <span class="_ _5"></span>a <span class="_ _5"></span><span class="fc2 sc0">supertwisting-algorithm-based </span><span class="_ _5"></span><span class="fc2 sc0">second-order </span><span class="_ _5"></span><span class="fc2 sc0">sliding-mode</span></div><div class="t m0 x1 ha y1e ff1 fs6 fc0 sc0 ls0 ws0"><span class="fc2 sc0">observer </span><span class="_ _2"></span><span class="fc2 sc0">is </span><span class="_ _3"> </span><span class="fc2 sc0">designed </span><span class="_ _2"></span><span class="fc2 sc0">to </span><span class="_ _2"> </span><span class="fc2 sc0">observe </span><span class="_ _3"> </span><span class="fc2 sc0">the </span><span class="_ _2"></span><span class="fc2 sc0">lump </span><span class="_ _3"> </span><span class="fc2 sc0">disturbance </span><span class="_ _2"></span><span class="fc2 sc0">caused </span><span class="_ _2"></span><span class="fc2 sc0">by </span><span class="_ _3"> </span><span class="fc2 sc0">model </span><span class="_ _2"></span><span class="fc2 sc0">mismatch </span><span class="_ _2"> </span><span class="fc2 sc0">and </span><span class="_ _3"> </span><span class="fc2 sc0">unmodelled </span><span class="_ _2"></span><span class="fc2 sc0">dynamics.</span> <span class="_ _3"> </span>The <span class="_ _2"></span>estimated</div><div class="t m0 x1 ha y1f ff1 fs6 fc0 sc0 ls0 ws0">lump <span class="_ _2"></span>disturbance <span class="_ _2"> </span>is <span class="_ _3"> </span>considered <span class="_ _2"></span>as <span class="_ _2"> </span>the <span class="_ _3"> </span>compensation <span class="_ _2"></span>to <span class="_ _2"></span>the <span class="_ _3"> </span>original <span class="_ _2"></span>PMSM <span class="_ _2"></span>model <span class="_ _3"> </span>to <span class="_ _2"></span><span class="fc2 sc0">reduce </span><span class="_ _2"></span><span class="fc2 sc0">steady-state </span><span class="_ _3"> </span><span class="fc2 sc0">current </span><span class="_ _2"></span><span class="fc2 sc0">error</span><span class="_ _1"></span>, <span class="_ _2"></span>which</div><div class="t m0 x1 ha y20 ff1 fs6 fc0 sc0 ls0 ws0">improves <span class="_ _2"></span>the <span class="_ _2"></span>robustness <span class="_ _2"></span>of <span class="_ _2"></span>the <span class="_ _2"> </span>three-vector-based <span class="_ _3"> </span>model <span class="_ _4"></span>predictive <span class="_ _3"> </span>current <span class="_ _4"></span>control. <span class="_ _3"> </span>Finally<span class="_ _0"></span>, <span class="_ _2"></span>the <span class="_ _2"></span>effectiveness <span class="_ _2"></span>of <span class="_ _2"></span>the <span class="_ _2"></span>proposed</div><div class="t m0 x1 ha y21 ff1 fs6 fc0 sc0 ls0 ws0">method <span class="_ _4"></span>is <span class="_ _4"></span>verified <span class="_ _4"></span>by <span class="_ _4"></span>experiments <span class="_ _2"></span>on <span class="_ _4"></span>a <span class="_ _4"></span>two-level-inverter-fed <span class="_ _4"></span>PMSM <span class="_ _4"></span>drive <span class="_ _2"></span>platform. <span class="_ _4"></span>Experimental <span class="_ _4"></span>results <span class="_ _4"></span>prove <span class="_ _4"></span>that, <span class="_ _2"></span>compared</div><div class="t m0 x1 ha y22 ff1 fs6 fc0 sc0 ls0 ws0">with <span class="_ _2"> </span>three-vector-based <span class="_ _3"> </span>model <span class="_ _3"> </span>predictive <span class="_ _2"></span>current <span class="_ _3"> </span>control, <span class="_ _2"></span>the <span class="_ _3"> </span>proposed <span class="_ _2"> </span>method <span class="_ _3"> </span>can <span class="_ _3"> </span>reduce <span class="_ _2"></span>the <span class="_ _3"> </span>computational <span class="_ _2"></span>complexity <span class="_ _3"> </span>and</div><div class="t m0 x1 ha y23 ff1 fs6 fc0 sc0 ls0 ws0">enhance robustness against motor parameters variation.</div><div class="t m0 x1 hb y24 ff3 fs0 fc0 sc0 ls0 ws0">1&#8195;Introduction</div><div class="t m0 x1 hc y25 ff4 fs6 fc0 sc0 ls0 ws0">The </div><div class="t m0 xf hc y26 ff4 fs6 fc0 sc0 ls0 ws0">permanent <span class="_ _6"> </span>magnet <span class="_ _6"> </span>synchronous <span class="_ _6"> </span>motor <span class="_ _6"> </span>(PMSM) <span class="_ _6"> </span>has <span class="_ _6"> </span>been</div><div class="t m0 x1 hc y27 ff4 fs6 fc0 sc0 ls0 ws0">widely <span class="_ _3"> </span>employed <span class="_ _7"> </span>due <span class="_ _3"> </span>to <span class="_ _7"> </span>the <span class="_ _3"> </span>advantages <span class="_ _7"> </span>of <span class="_ _3"> </span>small <span class="_ _7"> </span>volume, <span class="_ _3"> </span>simple</div><div class="t m0 x1 hc y28 ff4 fs6 fc0 sc0 ls0 ws0">structure <span class="_ _3"> </span>and <span class="_ _3"> </span>high <span class="_ _7"> </span>efficiency <span class="_ _3"> </span>[1&#8211;3]. <span class="_ _3"> </span>W<span class="_ _1"></span>ith <span class="_ _3"> </span>the <span class="_ _7"> </span>wide <span class="_ _3"> </span>application <span class="_ _3"> </span>of</div><div class="t m0 x1 hc y29 ff4 fs6 fc0 sc0 ls0 ws0">the <span class="_ _7"> </span>PMSM, <span class="_ _8"> </span>its <span class="_ _7"> </span>control <span class="_ _8"> </span>method <span class="_ _7"> </span>has <span class="_ _8"> </span>also <span class="_ _7"> </span>been <span class="_ _8"> </span>attracted <span class="_ _7"> </span>extensive</div><div class="t m0 x1 hc y2a ff4 fs6 fc0 sc0 ls0 ws0">attentions. Field oriented control (FOC) <span class="_ _5"></span>is one of the most <span class="_ _5"></span>common</div><div class="t m0 x1 hc y2b ff4 fs6 fc0 sc0 ls0 ws0">control <span class="_ _4"></span>methods <span class="_ _2"></span>for <span class="_ _2"></span>PMSM <span class="_ _2"></span>[4, <span class="_ _2"></span>5]. <span class="_ _4"></span>FOC <span class="_ _2"></span>can <span class="_ _2"></span>achieve <span class="_ _2"></span>good <span class="_ _2"></span>steady-</div><div class="t m0 x1 hc y2c ff4 fs6 fc0 sc0 ls0 ws0">state <span class="_ _9"> </span>performance. <span class="_ _9"> </span>However<span class="_ _1"></span>, <span class="_ _9"> </span>the <span class="_ _9"> </span>parameters <span class="_ _9"> </span>of <span class="_ _9"> </span>multiple</div><div class="t m0 x1 hc y2d ff4 fs6 fc0 sc0 ls0 ws0">proportional <span class="_ _7"> </span>integral <span class="_ _7"> </span>(PI) <span class="_ _8"> </span>regulators <span class="_ _7"> </span>in <span class="_ _8"> </span>FOC <span class="_ _7"> </span>need <span class="_ _8"> </span>to <span class="_ _7"> </span>be <span class="_ _7"> </span>adjusted</div><div class="t m0 x1 hc y2e ff4 fs6 fc0 sc0 ls0 ws0">and dynamic response of FOC needs to be further improved.</div><div class="t m0 x10 hc y2f ff4 fs6 fc0 sc0 ls0 ws0">In <span class="_ _6"> </span>recent <span class="_ _6"> </span>years, <span class="_ _6"> </span>model <span class="_ _a"> </span>predictive <span class="_ _6"> </span>control <span class="_ _6"> </span>(MPC) <span class="_ _6"> </span>has <span class="_ _a"> </span>been</div><div class="t m0 x1 hc y30 ff4 fs6 fc0 sc0 ls0 ws0">widely <span class="_ _3"> </span>applied <span class="_ _3"> </span>in <span class="_ _2"> </span>power <span class="_ _3"> </span>electronics <span class="_ _3"> </span>and <span class="_ _3"> </span>power <span class="_ _3"> </span>drives <span class="_ _3"> </span>because <span class="_ _2"> </span>of</div><div class="t m0 x1 hc y31 ff4 fs6 fc0 sc0 ls0 ws0">the <span class="_ _b"> </span>fast <span class="_ _b"> </span>dynamic <span class="_ _b"> </span>response, <span class="_ _b"> </span>simple <span class="_ _b"> </span>principle <span class="_ _b"> </span>and <span class="_ _b"> </span>easy</div><div class="t m0 x1 hc y32 ff4 fs6 fc0 sc0 ls0 ws0">implementation, <span class="_ _8"> </span>such <span class="_ _8"> </span>as <span class="_ _8"> </span>three-phase <span class="_ _8"> </span>inverter <span class="_ _8"> </span>[6, <span class="_ _8"> </span>7], <span class="_ _8"> </span>pulse <span class="_ _8"> </span>width</div><div class="t m0 x1 hc y33 ff4 fs6 fc0 sc0 ls0 ws0">modulation <span class="_ _6"> </span>(PWM) <span class="_ _6"> </span>rectifier <span class="_ _c"> </span>[8, <span class="_ _c"> </span>9], <span class="_ _6"> </span>matrix <span class="_ _6"> </span>converter <span class="_ _c"> </span>[10, <span class="_ _6"> </span>11],</div><div class="t m0 x1 hc y34 ff4 fs6 fc0 sc0 ls0 ws0">induction <span class="_ _c"> </span>motor <span class="_ _c"> </span>drive <span class="_ _c"> </span>[12, <span class="_ _c"> </span>13] <span class="_ _6"> </span>and <span class="_ _c"> </span>PMSM <span class="_ _c"> </span>drive <span class="_ _c"> </span>[14]. <span class="_ _c"> </span>In <span class="_ _c"> </span>the</div><div class="t m0 x1 hc y35 ff4 fs6 fc0 sc0 ls0 ws0">traditional MPC, <span class="_ _5"></span>one voltage <span class="_ _5"></span>vector is <span class="_ _5"></span>applied during <span class="_ _5"></span>one sampling</div><div class="t m0 x1 hc y36 ff4 fs6 fc0 sc0 ls0 ws0">period. <span class="_ _2"></span>There <span class="_ _2"></span>are <span class="_ _2"></span>only <span class="_ _2"></span>seven <span class="_ _2"></span>selectable <span class="_ _2"></span>voltage <span class="_ _2"></span>vectors <span class="_ _2"></span>for <span class="_ _2"></span>a <span class="_ _2"></span>two-</div><div class="t m0 x1 hc y37 ff4 fs6 fc0 sc0 ls0 ws0">level <span class="_ _4"></span>voltage <span class="_ _4"></span>source <span class="_ _4"></span>inverter<span class="_ _1"></span>, <span class="_ _4"></span>so <span class="_ _4"></span>that <span class="_ _4"></span>the <span class="_ _4"></span>selection <span class="_ _4"></span>range <span class="_ _4"></span>of <span class="_ _4"></span>voltage</div><div class="t m0 x1 hc y38 ff4 fs6 fc0 sc0 ls0 ws0">vector <span class="_ _4"></span>is <span class="_ _2"></span>relatively <span class="_ _2"></span>small. <span class="_ _2"></span>This <span class="_ _4"></span>limits <span class="_ _2"></span>the <span class="_ _2"></span>steady-state <span class="_ _4"></span>performance</div><div class="t m0 x1 hc y39 ff4 fs6 fc0 sc0 ls0 ws0">of <span class="_ _3"> </span>the <span class="_ _3"> </span>traditional <span class="_ _3"> </span>MPC <span class="_ _3"> </span>[15]. <span class="_ _3"> </span>In <span class="_ _3"> </span>order <span class="_ _3"> </span>to <span class="_ _3"> </span>improve <span class="_ _3"> </span>the <span class="_ _3"> </span>steady-state</div><div class="t m0 x1 hc y3a ff4 fs6 fc0 sc0 ls0 ws0">performance <span class="_"> </span>of <span class="_"> </span>the <span class="_"> </span>traditional <span class="_"> </span>MPC, <span class="_"> </span>some <span class="_"> </span>scholars <span class="_"> </span>proposed <span class="_"> </span>a</div><div class="t m0 x1 hc y3b ff4 fs6 fc0 sc0 ls0 ws0">three-vector-based <span class="_ _8"> </span>MPC <span class="_"> </span>[16, <span class="_"> </span>17]. <span class="_"> </span>In <span class="_"> </span>this <span class="_ _8"> </span>method, <span class="_"> </span>three <span class="_"> </span>voltage</div><div class="t m0 x1 hc y3c ff4 fs6 fc0 sc0 ls0 ws0">vectors <span class="_"> </span>are <span class="_ _c"> </span>applied <span class="_"> </span>during <span class="_ _c"> </span>one <span class="_"> </span>sampling <span class="_ _c"> </span>period. <span class="_"> </span>However<span class="_ _1"></span>, <span class="_ _c"> </span>this</div><div class="t m0 x1 hc y3d ff4 fs6 fc0 sc0 ls0 ws0">control <span class="_ _d"> </span>method <span class="_ _d"> </span>needs <span class="_ _d"> </span>to <span class="_ _d"> </span>find <span class="_ _d"> </span>the <span class="_ _d"> </span>optimal <span class="_ _d"> </span>voltage <span class="_ _d"> </span>vector</div><div class="t m0 x1 hc y3e ff4 fs6 fc0 sc0 ls0 ws0">combination <span class="_ _3"> </span>and <span class="_ _7"> </span>calculate <span class="_ _3"> </span>the <span class="_ _7"> </span>duration <span class="_ _7"> </span>of <span class="_ _3"> </span>each <span class="_ _7"> </span>voltage <span class="_ _7"> </span>vector <span class="_ _3"> </span>in</div><div class="t m0 x1 hc y3f ff4 fs6 fc0 sc0 ls0 ws0">one <span class="_ _d"> </span>sampling <span class="_ _e"> </span>period. <span class="_ _d"> </span>This <span class="_ _e"> </span>process <span class="_ _d"> </span>would <span class="_ _e"> </span>generate <span class="_ _d"> </span>heavy</div><div class="t m0 x1 hc y40 ff4 fs6 fc0 sc0 ls0 ws0">computational burden, which <span class="_ _5"></span>is one <span class="_ _5"></span>of the <span class="_ _5"></span>problems to <span class="_ _5"></span>be solved in</div><div class="t m0 x1 hc y41 ff4 fs6 fc0 sc0 ls0 ws0">the three-vector-based MPC.</div><div class="t m0 x10 hc y42 ff4 fs6 fc0 sc0 ls0 ws0">Although the <span class="_ _5"></span>MPC <span class="_ _5"></span>has <span class="_ _5"></span>the fast <span class="_ _5"></span>dynamic <span class="_ _5"></span>response, <span class="_ _5"></span>it <span class="_ _5"></span>is sensitive</div><div class="t m0 x1 hc y43 ff4 fs6 fc0 sc0 ls0 ws0">to <span class="_ _3"> </span>the <span class="_ _3"> </span>motor <span class="_ _7"> </span>parameters <span class="_ _3"> </span>variation <span class="_ _3"> </span>due <span class="_ _3"> </span>to <span class="_ _7"> </span>that <span class="_ _3"> </span>the <span class="_ _3"> </span>MPC <span class="_ _7"> </span>is <span class="_ _3"> </span>one <span class="_ _3"> </span>of</div><div class="t m0 x1 hc y44 ff4 fs6 fc0 sc0 ls0 ws0">model-based <span class="_ _6"> </span>control <span class="_ _c"> </span>methods. <span class="_ _6"> </span>In <span class="_ _6"> </span>practical <span class="_ _c"> </span>implementation, <span class="_ _6"> </span>the</div><div class="t m0 x1 hc y45 ff4 fs6 fc0 sc0 ls0 ws0">influence <span class="_ _4"></span>of <span class="_ _4"></span>motor <span class="_ _4"></span>parameters <span class="_ _4"></span>variation <span class="_ _4"></span>and <span class="_ _2"></span>unmodelled <span class="_ _4"></span>dynamics</div><div class="t m0 x1 hc y46 ff4 fs6 fc0 sc0 ls0 ws0">is <span class="_ _2"></span>inevitable <span class="_ _2"></span>in <span class="_ _4"></span>the <span class="_ _2"> </span>drive <span class="_ _2"> </span>system. <span class="_ _2"> </span>As <span class="_ _2"></span>a <span class="_ _2"></span>result, <span class="_ _2"></span>the <span class="_ _2"></span>model <span class="_ _2"></span>mismatch</div><div class="t m0 x1 hc y47 ff4 fs6 fc0 sc0 ls0 ws0">would <span class="_ _f"> </span>happen, <span class="_ _f"> </span>and <span class="_ _f"> </span>this <span class="_ _f"> </span>further <span class="_ _f"> </span>causes <span class="_ _f"> </span>the <span class="_ _f"> </span>prediction <span class="_ _f"> </span>error<span class="_ _1"></span>.</div><div class="t m0 x1 hc y48 ff4 fs6 fc0 sc0 ls0 ws0">Therefore, <span class="_ _2"></span>the <span class="_ _2"></span>voltage <span class="_ _2"> </span>vector <span class="_ _3"> </span>selected <span class="_ _2"></span>by <span class="_ _2"></span>the <span class="_ _2"></span>cost <span class="_ _2"> </span>function <span class="_ _3"> </span>maybe</div><div class="t m0 x1 hc y49 ff4 fs6 fc0 sc0 ls0 ws0">not <span class="_ _10"> </span>the <span class="_ _10"> </span>optimal <span class="_ _10"> </span>voltage <span class="_ _10"> </span>vector<span class="_ _1"></span>, <span class="_ _10"> </span>which <span class="_ _10"> </span>eventually <span class="_ _10"> </span>leads <span class="_ _10"> </span>to</div><div class="t m0 x1 hc y4a ff4 fs6 fc0 sc0 ls0 ws0">deteriorate <span class="_ _5"></span>system <span class="_ _4"></span>performance. <span class="_ _5"></span>In <span class="_ _4"></span>order <span class="_ _5"></span>to <span class="_ _4"></span>solve <span class="_ _5"></span>this <span class="_ _4"></span>problem, <span class="_ _5"></span>the</div><div class="t m0 x11 hc y4b ff4 fs6 fc0 sc0 ls0 ws0">prediction <span class="_"> </span>error <span class="_ _c"> </span>correction <span class="_"> </span>is <span class="_ _c"> </span>added <span class="_"> </span>to <span class="_ _c"> </span>the <span class="_"> </span>predictive <span class="_"> </span>model <span class="_ _c"> </span>to</div><div class="t m0 x11 hc y4c ff4 fs6 fc0 sc0 ls0 ws0">enhance </div><div class="t m0 x12 hc y4d ff4 fs6 fc0 sc0 ls0 ws0">robustness <span class="_ _d"> </span>against <span class="_ _d"> </span>stator <span class="_ _d"> </span>inductance <span class="_ _e"> </span>variation <span class="_ _d"> </span>and</div><div class="t m0 x11 hc y4e ff4 fs6 fc0 sc0 ls0 ws0">consequently <span class="_ _6"> </span>achieves <span class="_ _a"> </span>better <span class="_ _6"> </span>performance <span class="_ _a"> </span>[18]. <span class="_ _6"> </span>However<span class="_ _11"></span>, <span class="_ _6"> </span>flux</div><div class="t m0 x11 hc y4f ff4 fs6 fc0 sc0 ls0 ws0">linkage of permanent magnets <span class="_ _5"></span>and stator resistance mismatch is <span class="_ _5"></span>not</div><div class="t m0 x11 hc y50 ff4 fs6 fc0 sc0 ls0 ws0">considered <span class="_ _4"></span>in <span class="_ _4"></span>this <span class="_ _4"></span>paper<span class="_ _1"></span>. <span class="_ _2"></span>In <span class="_ _4"></span>addition, <span class="_ _4"></span>the <span class="_ _4"></span>weight <span class="_ _4"></span>factors <span class="_ _2"></span>need <span class="_ _4"></span>to <span class="_ _4"></span>be</div><div class="t m0 x11 hc y51 ff4 fs6 fc0 sc0 ls0 ws0">adjusted <span class="_ _6"> </span>when <span class="_ _6"> </span>the <span class="_ _6"> </span>predictive <span class="_ _6"> </span>error <span class="_ _6"> </span>correction <span class="_ _6"> </span>is <span class="_ _6"> </span>added <span class="_ _6"> </span>to <span class="_ _6"> </span>the</div><div class="t m0 x11 hc y52 ff4 fs6 fc0 sc0 ls0 ws0">predictive <span class="_ _3"> </span>model, <span class="_ _3"> </span>which <span class="_ _3"> </span>increases <span class="_ _3"> </span>the <span class="_ _3"> </span>difficulty <span class="_ _2"></span>of <span class="_ _3"> </span>system <span class="_ _3"> </span>design</div><div class="t m0 x11 hc y53 ff4 fs6 fc0 sc0 ls0 ws0">and <span class="_ _7"> </span>adjustment. <span class="_ _7"> </span>The <span class="_ _8"> </span>adaptive <span class="_ _7"> </span>observer <span class="_ _7"> </span>proposed <span class="_ _8"> </span>in <span class="_ _7"> </span>[19] <span class="_ _7"> </span>and <span class="_ _7"> </span>the</div><div class="t m0 x11 hc y54 ff4 fs6 fc0 sc0 ls0 ws0">extended <span class="_ _5"></span>Kalman <span class="_ _5"></span>filter <span class="_ _4"></span>proposed <span class="_ _5"></span>in <span class="_ _4"></span>[20] <span class="_ _5"></span>are <span class="_ _4"></span>used <span class="_ _5"></span>to <span class="_ _5"></span>identify <span class="_ _4"></span>motor</div><div class="t m0 x11 hc y55 ff4 fs6 fc0 sc0 ls0 ws0">parameters to overcome <span class="_ _5"></span>the adverse effects of <span class="_ _5"></span>parameter mismatch.</div><div class="t m0 x11 hc y56 ff4 fs6 fc0 sc0 ls0 ws0">However<span class="_ _1"></span>, <span class="_ _a"> </span>online <span class="_ _6"> </span>parameter <span class="_ _a"> </span>identification <span class="_ _a"> </span>leads <span class="_ _a"> </span>to <span class="_ _6"> </span>complicated</div><div class="t m0 x11 hc y57 ff4 fs6 fc0 sc0 ls0 ws0">computation. <span class="_ _3"> </span>In <span class="_ _7"> </span>[21], <span class="_ _7"> </span>the <span class="_ _7"> </span>disturbance <span class="_ _7"> </span>observer <span class="_ _7"> </span>is <span class="_ _7"> </span>introduced <span class="_ _7"> </span>into</div><div class="t m0 x11 hc y58 ff4 fs6 fc0 sc0 ls0 ws0">the <span class="_ _3"> </span>MPC <span class="_ _3"> </span>to <span class="_ _2"> </span>observe <span class="_ _3"> </span>the <span class="_ _3"> </span>disturbance <span class="_ _3"> </span>caused <span class="_ _3"> </span>by <span class="_ _3"> </span>the <span class="_ _3"> </span>load <span class="_ _3"> </span>variation</div><div class="t m0 x11 hc y59 ff4 fs6 fc0 sc0 ls0 ws0">and <span class="_ _3"> </span>the <span class="_ _3"> </span>motor <span class="_ _7"> </span>parameters <span class="_ _3"> </span>variation. <span class="_ _3"> </span>The <span class="_ _3"> </span>estimated <span class="_ _7"> </span>disturbance <span class="_ _3"> </span>is</div><div class="t m0 x11 hc y5a ff4 fs6 fc0 sc0 ls0 ws0">considered <span class="_ _3"> </span>as <span class="_ _3"> </span>compensation <span class="_ _7"> </span>of <span class="_ _3"> </span>motor <span class="_ _7"> </span>model <span class="_ _3"> </span>to <span class="_ _3"> </span>improve <span class="_ _7"> </span>the <span class="_ _3"> </span>load</div><div class="t m0 x11 hc y5b ff4 fs6 fc0 sc0 ls0 ws0">disturbance rejection ability and robustness.</div><div class="t m0 xb hc y5c ff4 fs6 fc0 sc0 ls0 ws0">Among <span class="_ _12"> </span>various <span class="_ _12"> </span>disturbance <span class="_ _12"> </span>observers, <span class="_ _12"> </span>the <span class="_ _12"> </span>sliding-mode</div><div class="t m0 x11 hc y5d ff4 fs6 fc0 sc0 ls0 ws0">observer <span class="_ _4"></span>is <span class="_ _4"></span>widely <span class="_ _2"></span>employed <span class="_ _4"></span>in <span class="_ _2"></span>disturbances <span class="_ _4"></span>observation <span class="_ _4"></span>owing <span class="_ _2"></span>to</div><div class="t m0 x11 hc y5e ff4 fs6 fc0 sc0 ls0 ws0">strong <span class="_ _7"> </span>robustness <span class="_ _7"> </span>[22&#8211;25]. <span class="_ _7"> </span>However<span class="_ _11"></span>, <span class="_ _7"> </span>the <span class="_ _7"> </span>first-order <span class="_ _7"> </span>sliding-mode</div><div class="t m0 x11 hc y5f ff4 fs6 fc0 sc0 ls0 ws0">observer <span class="_ _3"> </span>has <span class="_ _3"> </span>the <span class="_ _3"> </span>disadvantage <span class="_ _3"> </span>of <span class="_ _3"> </span>obvious <span class="_ _3"> </span>chattering <span class="_ _3"> </span>phenomenon</div><div class="t m0 x11 hc y60 ff4 fs6 fc0 sc0 ls0 ws0">due <span class="_ _6"> </span>to <span class="_ _6"> </span>its <span class="_ _6"> </span>own <span class="_ _6"> </span>discontinuity<span class="_ _0"></span>, <span class="_ _6"> </span>and <span class="_ _6"> </span>this <span class="_ _6"> </span>chattering <span class="_ _6"> </span>phenomenon</div><div class="t m0 x11 hc y61 ff4 fs6 fc0 sc0 ls0 ws0">cannot <span class="_ _c"> </span>be <span class="_ _6"> </span>eliminated <span class="_ _6"> </span>[26, <span class="_ _c"> </span>27]. <span class="_ _6"> </span>The <span class="_ _c"> </span>second-order <span class="_ _6"> </span>sliding-mode</div><div class="t m0 x11 hc y62 ff4 fs6 fc0 sc0 ls0 ws0">observer<span class="_ _1"></span>, <span class="_ _e"> </span>which <span class="_ _e"> </span>is <span class="_ _e"> </span>more <span class="_ _e"> </span>suitable <span class="_ _e"> </span>for <span class="_ _e"> </span>system <span class="_ _e"> </span>disturbances</div><div class="t m0 x11 hc y63 ff4 fs6 fc0 sc0 ls0 ws0">observation, <span class="_ _9"> </span>can <span class="_ _b"> </span>ef<span class="_ _1"></span>fectively <span class="_ _b"> </span>reduce <span class="_ _9"> </span>the <span class="_ _9"> </span>chattering <span class="_ _b"> </span>while</div><div class="t m0 x11 hc y64 ff4 fs6 fc0 sc0 ls0 ws0">maintaining <span class="_ _2"></span>good <span class="_ _3"> </span>dynamic <span class="_ _2"></span>response <span class="_ _2"></span>[28&#8211;30]. <span class="_ _2"> </span>In <span class="_ _3"> </span>[31], <span class="_ _2"></span>the <span class="_ _3"> </span>second-</div><div class="t m0 x11 hc y65 ff4 fs6 fc0 sc0 ls0 ws0">order <span class="_ _c"> </span>sliding-mode <span class="_"> </span>observer <span class="_ _c"> </span>is <span class="_"> </span>designed <span class="_ _c"> </span>for <span class="_"> </span>permanent <span class="_ _c"> </span>magnet</div><div class="t m0 x11 hc y66 ff4 fs6 fc0 sc0 ls0 ws0">linear synchronous <span class="_ _5"></span>machines to <span class="_ _5"></span>observe the <span class="_ _5"></span>lump disturbance, <span class="_ _5"></span>such</div><div class="t m0 x11 hc y67 ff4 fs6 fc0 sc0 ls0 ws0">as <span class="_ _5"></span>electromagnetic <span class="_ _4"></span>force <span class="_ _5"></span>ripple, <span class="_ _5"></span>detent <span class="_ _4"></span>force <span class="_ _5"></span>and <span class="_ _4"></span>unknown <span class="_ _5"></span>external</div><div class="t m0 x11 hc y68 ff4 fs6 fc0 sc0 ls0 ws0">disturbances. <span class="_ _c"> </span>The <span class="_ _c"> </span>estimated <span class="_ _6"> </span>lump <span class="_ _c"> </span>disturbance <span class="_ _c"> </span>is <span class="_ _6"> </span>considered <span class="_ _c"> </span>as</div><div class="t m0 x11 hc y69 ff4 fs6 fc0 sc0 ls0 ws0">feedforward <span class="_ _6"> </span>compensation, <span class="_ _a"> </span>which <span class="_ _6"> </span>can <span class="_ _a"> </span>effectively <span class="_ _6"> </span>suppress <span class="_ _6"> </span>the</div><div class="t m0 x11 hc y6a ff4 fs6 fc0 sc0 ls0 ws0">force ripple.</div><div class="t m0 xb hc y6b ff4 fs6 fc0 sc0 ls0 ws0">A <span class="_ _8"> </span>robust <span class="_ _8"> </span><span class="fc2 sc0">three-vector</span><span class="fc2 sc0">-based </span><span class="_ _8"> </span><span class="fc2 sc0">low-complexity </span><span class="_ _8"> </span><span class="fc2 sc0">model </span><span class="_ _8"> </span><span class="fc2 sc0">predictive</span></div><div class="t m0 x11 hc y6c ff4 fs6 fc0 sc0 ls0 ws0"><span class="fc2 sc0">current </span><span class="_ _c"> </span><span class="fc2 sc0">control</span> <span class="_ _c"> </span>with <span class="_ _c"> </span><span class="fc2 sc0">supertwisting-algorithm-based </span><span class="_ _c"> </span><span class="fc2 sc0">second-order</span></div><div class="t m0 x11 hc y6d ff4 fs6 fc0 sc0 ls0 ws0"><span class="fc2 sc0">sliding-mode </span><span class="fc2 sc0">observer</span> <span class="_ _5"></span>(<span class="fc2 sc0">TV</span><span class="_ _0"></span><span class="fc2 sc0">-LC-MPCC&#8201;+&#8201;</span><span class="fc2 sc0">ST</span><span class="_ _0"></span><span class="fc2 sc0">A-SMO) </span><span class="_ _5"></span>is <span class="_ _5"></span>proposed in</div><div class="t m0 x11 hc y6e ff4 fs6 fc0 sc0 ls0 ws0">this <span class="_ _a"> </span>paper<span class="_ _1"></span>. <span class="_ _a"> </span>Firstly<span class="_ _1"></span>, <span class="_ _a"> </span>the <span class="_ _13"> </span>optimal <span class="_ _a"> </span>voltage <span class="_ _a"> </span>vector <span class="_ _13"> </span>combination <span class="_ _a"> </span>is</div><div class="t m0 x11 hc y6f ff4 fs6 fc0 sc0 ls0 ws0">directly <span class="_ _2"></span>determined <span class="_ _2"></span>by <span class="_ _2"></span>the <span class="_ _2"></span>sector <span class="_ _2"></span>of <span class="_ _2"></span>desired <span class="_ _2"></span>voltage <span class="_ _2"></span>vector<span class="_ _1"></span>, <span class="_ _2"> </span>which</div><div class="t m0 x11 hc y70 ff4 fs6 fc0 sc0 ls0 ws0">can <span class="_ _f"> </span>reduce <span class="_ _13"> </span>the <span class="_ _f"> </span>computational <span class="_ _f"> </span>complexity <span class="_ _13"> </span>of <span class="_ _f"> </span>the <span class="_ _f"> </span>TV<span class="_ _0"></span>-MPCC.</div><div class="t m0 x11 hc y71 ff4 fs6 fc0 sc0 ls0 ws0">Secondly<span class="_ _0"></span>, <span class="_ _e"> </span>a <span class="_ _e"> </span>ST<span class="_ _0"></span>A-SMO <span class="_ _e"> </span>is <span class="_ _e"> </span>designed <span class="_ _d"> </span>to <span class="_ _e"> </span>observe <span class="_ _e"> </span>the <span class="_ _d"> </span>lump</div><div class="t m0 x1 h9 y72 ff2 fs5 fc0 sc0 ls0 ws0">IET Power Electron.</div><div class="t m0 x1 hd y73 ff1 fs5 fc0 sc0 ls0 ws0">&#169; The Institution of Engineering and T</div><div class="t m0 x13 hd y74 ff1 fs5 fc0 sc0 ls0 ws0">echnology 2019</div><div class="t m0 x14 hd y75 ff1 fs5 fc0 sc0 ls0 ws0">1</div><div class="c x15 y76 w2 he"><div class="t m0 x0 hf y77 ff5 fs7 fc1 sc0 ls0 ws0">&#20302;&#22797;&#26434;&#24230;&#27169;&#22411;&#39044;&#27979;&#30005;&#27969;&#25511;&#21046;</div></div></div><div class="pi" data-data='{"ctm":[1.611850,0.000000,0.000000,1.611850,0.000000,0.000000]}'></div></div> </body> </html>
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