• Optics and Precision Engineering
  • Vol. 31, Issue 17, 2525 (2023)
Xudong YU1,2,*, Ding LI1,2, Lifu GAO3, and Wen LEI3
Author Affiliations
  • 1College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha40073, China
  • 2Nanhu Laser Laboratory, National University of Defense Technology, Changsha410073, China
  • 3Military Representative Office of the Navy in Xiangtan, Xiangtan411100, China
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    DOI: 10.37188/OPE.20233117.2525 Cite this Article
    Xudong YU, Ding LI, Lifu GAO, Wen LEI. Test and evaluation of long-endurance rotary modulation inertial navigation system[J]. Optics and Precision Engineering, 2023, 31(17): 2525 Copy Citation Text show less

    Abstract

    Prior to formally equipping an inertial navigation system (INS), its navigation accuracy must be evaluated based on the national military standards. Owing to the continuous accuracy improvements of the rotary modulation INS, the duration of a single-navigation experimental cycle is increasing, thereby causing challenges to test and evaluate the INS system. Thus, to evaluate the navigation accuracy of a long-endurance rotary modulation INS, first, this study introduces an integrated rotary modulation scheme with self-calibration, self-alignment, and navigation functions that unify the self-calibration and self-alignment state of the INS and the rotation path in the navigation process. Subsequently, this study proposes a long-period navigation test method based on repeated samples for long-endurance rotary modulation INS to improve all required navigation testing and evaluation tasks. Finally, the study obtains and uses 30-day long-endurance navigation laboratory-test data to test and verify the maximum position error (0.71, normalized, which is equivalent to the statistical results of independent voyages). Furthermore, the effectiveness and feasibility of the proposed method are verified using a vehicle dynamics test. The results show that the proposed method can significantly shorten the test cycle. Thus, this study provides an effective approach for developing and evaluating long-endurance rotary modulation INS.
    ϕ˙=-ωinn×ϕ+δωinn-Cpnδωipp,δv˙=fn×ϕ+Cpnδfipp-(2ωien+ωenn)×δv-(2δωien+δωenn)×v+δg,(1)

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    X˙(t)=A(t)X(t)+G(t)W(t)(2)

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    X(t)=φEφNφUδVEδVNδVUδLδλδhεxεyεz   x   y   zΔSgxΔMgyxΔMgzxΔSgyΔMgzyΔSgzΔSaxΔMayxΔMazxΔMaxyΔSayΔMazyΔMaxzΔMayzΔSazT(3)

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    Δ(4)

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    Δ(5)

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    Δ(6)

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    Δ(7)

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    A(t)=-[ωinn×]A12A13-Cpn03×3A1603×9[fn×]A22A2303×3Cbn03×6A2703×3A32A3303×303×303×603×9021×3021×3021×3021×3021×3021×6021×930×30(4)

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    A12=0-1RM+h01RN+h00tanLRN+h00(9)

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    A13=00VN(RM+h)2-ωiesinL0-VE(RN+h)2ωiecosL+vxsec2LRN+h0-VEtanL(RN+h)2(10)

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    A16=-Cpnωxp01×2ωypI202×1ωzp(11)

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    A27=CpnfxpI3fypI3fzpI3(12)

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    A22=VNtanL-VURN+hVERN+h+2ωiesinL-2ωiecosL-VERN+h-2VEtanLRN+h-2ωiesinL-VURM+h-VNRM+h2ωiecosL+2VERN+h2VNRN+h0(13)

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    A23=2ωieVNcosL+2ωieVUsinL+VEVNsec2LRN+h0-VE(VNtanL-VU)(RN+h)2-2ωieVEcosL-(VE)2sec2LRN+h0VE2tanL(RN+h)2+VNVU(RM+h)2-2ωieVEsinL0-VN2(RM+h)2-VE2(RN+h)2(14)

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    A32=01RM+h0secLRN+h00001(15)

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    G(t)=-Cpn03×303×3Cpn024×3024×330×6(16)

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    Z(t)=H(t)X(t)+v(t)(5)

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    Xudong YU, Ding LI, Lifu GAO, Wen LEI. Test and evaluation of long-endurance rotary modulation inertial navigation system[J]. Optics and Precision Engineering, 2023, 31(17): 2525
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