Application of Improved Simplex Quadrature Cubature Kalman Filter in Nonlinear Dynamic System

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Degree of spherical simplex cubature rule</td><td class="align_center">Number of SCQ points</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left">3</td><td class="align_center"><span style="width: 52.6642ptpx;"><svg height="11.5564pt" id="M80" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 52.6642 11.5564" width="52.6642pt" 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="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path 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<div>Support points required for different ordered spherical simplex cubature and <svg height="8.02022pt" id="M79" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -7.81382 11.0867 8.02022" width="11.0867pt" 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="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.526,0)"><path d="M295 534L291 558C277 573 202 603 180 597L75 72L120 51L295 534Z"></path></g></svg> order Gauss–Laguerre quadrature rule.</div>

Mathematical Problems in Engineering

tab1

Table 1

Table 1: Application of Improved Simplex Quadrature Cubature Kalman Filter in Nonlinear Dynamic System 