A Multiobjective Incremental Control Allocation Strategy for Tailless Aircraft

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static-preview.hindawi.com/articles/ijae/volume-2022/6515234/figures/6515234.fig.0011a.svgz" name="6515234.fig.0011a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>Pareto front</td></tr><tr class="fig-image" id="b"><td><object data="https://static-preview.hindawi.com/articles/ijae/volume-2022/6515234/figures/6515234.fig.0011b.svgz" name="6515234.fig.0011b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b><svg height="11.8174pt" id="M221" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 35.2288 11.8174" width="35.2288pt" 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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"><path d="M567 167L534 181C505 122 482 94 454 70C428 46 385 42 330 42C288 42 248 44 235 55C216 70 213 91 220 130L295 528C310 609 314 611 401 618L409 650H140L131 618C222 611 224 609 209 528L133 126C118 47 108 41 25 33L18 0H497C514 33 554 126 567 167Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.241,0)"><path d="M300 253H71L57 198H286L300 253Z"></path></g><g transform="matrix(.013,0,0,-0.013,18.887,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,27.506,3.132)"><path d="M786 370C786 572 637 650 431 650H137L130 618C217 606 220 603 204 519L129 127C115 48 107 39 26 30L18 0H270C410 0 516 20 609 75C722 140 786 240 786 370ZM683 373C683 178 547 40 323 40C298 40 264 40 241 45C213 51 207 64 220 127L295 545C304 582 309 595 320 601C335 610 367 613 406 613C570 613 683 538 683 373Z"></path></g></svg> side view</td></tr><tr class="fig-image" id="c"><td><object data="https://static-preview.hindawi.com/articles/ijae/volume-2022/6515234/figures/6515234.fig.0011c.svgz" name="6515234.fig.0011c" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(c) </b><svg height="12.4829pt" id="M222" style="vertical-align:-3.18152pt" version="1.1" viewbox="-0.0498162 -9.30138 38.4665 12.4829" width="38.4665pt" 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="M162 -163V703H102V-163H162ZM309 -163V703H249V-163H309Z"></path></g><g transform="matrix(.013,0,0,-0.013,5.343,0)"><path d="M499 509C493 596 425 703 312 703C244 703 159 654 159 573C159 542 182 485 225 430C200 416 165 396 137 376C68 327 21 268 21 176C21 77 78 -12 216 -12C269 -12 318 9 365 42C435 91 467 167 467 245S412 394 328 492C280 548 240 603 240 617S254 636 272 636C349 636 418 580 486 488L499 509ZM343 195C343 109 302 30 235 30C186 30 157 96 157 165C157 226 172 287 203 342C219 370 237 393 250 403C291 350 343 280 343 195Z"></path></g><g transform="matrix(.013,0,0,-0.013,12.128,0)"><path d="M162 -163V703H102V-163H162ZM309 -163V703H249V-163H309Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.471,0)"><path d="M300 253H71L57 198H286L300 253Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.117,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,30.736,3.132)"><path d="M786 370C786 572 637 650 431 650H137L130 618C217 606 220 603 204 519L129 127C115 48 107 39 26 30L18 0H270C410 0 516 20 609 75C722 140 786 240 786 370ZM683 373C683 178 547 40 323 40C298 40 264 40 241 45C213 51 207 64 220 127L295 545C304 582 309 595 320 601C335 610 367 613 406 613C570 613 683 538 683 373Z"></path></g></svg> side view</td></tr><tr class="fig-image" id="d"><td><object data="https://static-preview.hindawi.com/articles/ijae/volume-2022/6515234/figures/6515234.fig.0011d.svgz" name="6515234.fig.0011d" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(d) </b><svg height="12.4829pt" id="M223" style="vertical-align:-3.18152pt" version="1.1" viewbox="-0.0498162 -9.30138 36.5301 12.4829" width="36.5301pt" 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="M162 -163V703H102V-163H162ZM309 -163V703H249V-163H309Z"></path></g><g transform="matrix(.013,0,0,-0.013,5.343,0)"><path d="M499 509C493 596 425 703 312 703C244 703 159 654 159 573C159 542 182 485 225 430C200 416 165 396 137 376C68 327 21 268 21 176C21 77 78 -12 216 -12C269 -12 318 9 365 42C435 91 467 167 467 245S412 394 328 492C280 548 240 603 240 617S254 636 272 636C349 636 418 580 486 488L499 509ZM343 195C343 109 302 30 235 30C186 30 157 96 157 165C157 226 172 287 203 342C219 370 237 393 250 403C291 350 343 280 343 195Z"></path></g><g transform="matrix(.013,0,0,-0.013,12.128,0)"><path d="M162 -163V703H102V-163H162ZM309 -163V703H249V-163H309Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.471,0)"><path d="M300 253H71L57 198H286L300 253Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.117,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,30.736,3.132)"><path d="M567 167L534 181C505 122 482 94 454 70C428 46 385 42 330 42C288 42 248 44 235 55C216 70 213 91 220 130L295 528C310 609 314 611 401 618L409 650H140L131 618C222 611 224 609 209 528L133 126C118 47 108 41 25 33L18 0H497C514 33 554 126 567 167Z"></path></g></svg> side view</td></tr></table>

<div>Pareto front and its side views.</div>

International Journal of Aerospace Engineering

fig11

Figure 11

Figure 11: A Multiobjective Incremental Control Allocation Strategy for Tailless Aircraft 