Tube-MPC Control via Notch Filter for Flexible Air-Breathing Hypersonic Vehicle with Actuator Fault

<table class="algorithm-group"><tr><td><table class="algorithm" id="alg1"><tr><td>(1)</td><td>Design parameters of notch filter</td></tr><tr><td>(2)</td><td>Establish ECM model based on parameters of notch filter.</td></tr><tr><td>(3)</td><td>Codesign the polytopic LPV model of flexible air-breathing hypersonic vehicle by Jacobi linearization and the tensor product based on ECM.</td></tr><tr><td>(4)</td><td>Solve the robust auxiliary feedback control gain <svg height="11.4859pt" id="M201" style="vertical-align:-0.04979992pt" version="1.1" viewbox="-0.0498162 -11.4361 11.8158 11.4859" width="11.8158pt" 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="M584 650H137L131 622C214 614 217 612 200 521L125 127C109 41 101 35 23 28L17 0H288L294 28C201 35 193 42 209 128L242 309H348C440 309 442 300 443 226H471L510 422H482C452 354 449 348 357 348H251L295 575C302 609 304 615 338 615H426C502 615 517 604 526 581C534 560 536 524 537 492L565 494C574 554 583 631 584 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.895,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g></svg> offline.</td></tr><tr><td>(5)</td><td>Choose adjustable factor <svg height="6.1673pt" id="M202" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" 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="M471 456L444 459C426 433 414 430 388 430C324 430 270 434 216 434C103 434 51 374 23 338L43 317C96 366 146 380 221 375L154 109C149 86 147 68 147 52C147 4 168 -12 197 -12C240 -12 291 25 334 71L320 96C295 75 268 58 252 58C238 58 227 79 238 138C251 211 272 296 292 372C310 372 332 368 350 368C391 368 421 369 434 371C444 388 455 413 471 456Z"></path></g></svg> and compute the idmRPI set <span class="nowrap"><svg height="11.4859pt" id="M203" 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Mathematical Problems in Engineering

alg1

Algorithm 1

Algorithm 1: Tube-MPC Control via Notch Filter for Flexible Air-Breathing Hypersonic Vehicle with Actuator Fault 