Sequential Quadratic Programming Method for Nonlinear Least Squares Estimation and Its Application

<table class="fixed-width table-group" id="tab2"><tr><td><table class="table"><colgroup><col style="width:15.32em"/><col style="width:10.00em"/><col style="width:6.09em"/><col style="width:3.95em"/></colgroup><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Method</td><td class="align_center">Computation time (s)</td><td class="align_center">RMSE (rad)</td><td class="align_center"><svg height="9.4556pt" id="M80" style="vertical-align:-0.2063894pt" version="1.1" viewbox="-0.0498162 -9.24921 5.44961 9.4556" width="5.44961pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,.326,-.222)"><path d="M470 619L451 641C422 610 391 595 348 595C316 595 288 601 248 612C197 628 172 633 138 633C97 633 43 615 0 555L19 532C54 562 86 578 130 578C166 578 189 571 222 562C267 549 301 540 337 540C381 540 434 557 470 619Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M387 375C387 402 357 448 257 448C172 448 82 404 82 326C82 289 108 255 156 241V239C85 223 23 181 23 116C23 39 89 -12 182 -12C265 -12 336 31 378 91L361 114C320 73 269 47 216 47C157 47 115 82 115 137C115 191 160 219 218 219C243 219 262 218 272 217L304 259L302 266C295 265 281 264 255 264C195 264 163 294 163 335C163 377 200 416 249 416C293 416 321 389 329 342C331 332 335 329 341 329C355 329 387 352 387 375Z"></path></g></svg> (rad)</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">Least squares</td><td class="align_center">12.142</td><td class="align_center">0.7594</td><td class="align_center">0.6214</td></tr><tr><td class="align_left" colspan="4"><hr/></td></tr><tr><td class="align_left">Sequential quadratic programming</td><td class="align_center">11.866</td><td class="align_center">0.5393</td><td class="align_center">0.4228</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Unwrapping time, RMSE, and <svg height="9.4556pt" id="M79" style="vertical-align:-0.2063894pt" version="1.1" viewbox="-0.0498162 -9.24921 5.44961 9.4556" width="5.44961pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,.326,-.222)"><path d="M470 619L451 641C422 610 391 595 348 595C316 595 288 601 248 612C197 628 172 633 138 633C97 633 43 615 0 555L19 532C54 562 86 578 130 578C166 578 189 571 222 562C267 549 301 540 337 540C381 540 434 557 470 619Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M387 375C387 402 357 448 257 448C172 448 82 404 82 326C82 289 108 255 156 241V239C85 223 23 181 23 116C23 39 89 -12 182 -12C265 -12 336 31 378 91L361 114C320 73 269 47 216 47C157 47 115 82 115 137C115 191 160 219 218 219C243 219 262 218 272 217L304 259L302 266C295 265 281 264 255 264C195 264 163 294 163 335C163 377 200 416 249 416C293 416 321 389 329 342C331 332 335 329 341 329C355 329 387 352 387 375Z"></path></g></svg> value.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Sequential Quadratic Programming Method for Nonlinear Least Squares Estimation and Its Application 