Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td class="align_left">Method</td><td class="align_center">GPOPS</td><td class="align_center">NOC</td><td class="align_center">50</td><td class="align_center">500</td><td class="align_center">1000</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td class="align_left"><i>t</i>/s</td><td class="align_center">7.116</td><td class="align_center">0.049</td><td class="align_center">0.144</td><td class="align_center">1.248</td><td class="align_center">2.532</td></tr><tr><td class="align_left"><span style="width: 43.3167ptpx;"><svg height="14.8173pt" id="M186" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 43.3167 14.8173" width="43.3167pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M494 514C482 587 419 712 303 712C238 712 174 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115V712C404 700 337 684 285 678V653C357 648 362 645 362 580V437C339 446 309 449 295 449C159 449 38 340 38 201C38 61 143 -12 223 -12C234 -12 261 -6 301 17L362 53V-12C420 9 495 22 517 26V51ZM362 85C338 67 301 51 266 51C201 51 128 109 128 228C128 373 212 411 259 411C296 411 338 395 362 360V85Z" id="g121-98"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="528" vert-adv-y="528" xpluscharwidth="31.477"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,31.477,0)"><path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z" id="g121-99"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="425" vert-adv-y="425" xpluscharwidth="37.002"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,37.002,0)"><path d="M463 437C426 431 375 425 327 422C297 440 264 449 231 449H230C153 449 51 396 51 283C51 215 94 168 139 149C123 129 91 103 51 88C50 78 53 60 62 46C75 25 100 2 136 -9C112 -28 73 -59 53 -79C38 -94 29 -113 29 -135C30 -192 91 -257 203 -257C336 -257 452 -160 452 -59C452 39 371 59 309 59C275 59 240 58 203 58C158 58 140 77 140 96C140 110 157 129 170 138C186 135 205 133 221 133C306 133 396 185 396 293C396 328 384 360 366 381L423 378C439 387 459 413 468 429L463 437ZM219 418C277 418 314 362 314 284C314 205 275 166 231 165C176 165 137 221 137 299C137 376 177 418 219 418ZM241 -11C285 -11 314 -14 339 -24C367 -36 384 -61 384 -95C384 -157 335 -206 240 -206C166 -206 108 -165 108 -110C108 -82 128 -54 154 -32C172 -17 195 -11 241 -11Z" id="g121-101"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="468" vert-adv-y="468" xpluscharwidth="43.086"></glyph.data></g></svg></span></td><td class="align_center">5.00</td><td class="align_center">4.994</td><td class="align_center">4.081</td><td class="align_center">4.667</td><td class="align_center">4.707</td></tr><tr><td class="align_left"><span style="width: 35.2135ptpx;"><svg height="14.8173pt" id="M187" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 35.2135 14.8173" width="35.2135pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M494 514C482 587 419 712 303 712C238 712 174 667 174 603C174 561 205 514 249 449C219 438 187 422 162 407C93 366 23 283 23 177C23 69 87 -12 190 -12C244 -12 288 5 328 33C406 87 444 170 444 249C444 329 404 391 331 475C265 550 222 605 222 627C222 647 238 657 267 657C355 657 421 585 484 499L494 514ZM359 234C359 143 319 30 219 30C172 30 114 75 114 178C114 275 163 343 195 378C212 397 241 415 269 425C305 382 359 313 359 234Z" id="g113-226"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="517" vert-adv-y="517" xpluscharwidth="6.721"></glyph.data></g><g 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619 464 660 500 660C522 660 542 646 566 621C573 614 583 615 593 621C603 628 620 648 620 667Z" id="g50-103"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="644" vert-adv-y="644" xpluscharwidth="18.48038068"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,19.001,0)"><path d="M368 703H309L44 -163H104L368 703Z" id="g113-48"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="412" vert-adv-y="412" xpluscharwidth="24.357"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,24.362,0)"><path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z" id="g121-107"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="819" vert-adv-y="819" xpluscharwidth="35.009"></glyph.data></g></svg></span></td><td class="align_center">2000</td><td class="align_center">1924</td><td class="align_center">1391</td><td class="align_center">2376</td><td class="align_center">2144</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Comparison of time consumption terminal modification.

International Journal of Aerospace Engineering

tab2

Table 2

Table 2: Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors 