• Infrared and Laser Engineering
  • Vol. 51, Issue 12, 20220704 (2022)
Chunfeng Gao1, Guo Wei1,*, Qi Wang1, Zhenyu Xiong2..., Zekun Yang1, Wenjian Zhou1 and Wanqing Liu1|Show fewer author(s)
Author Affiliations
  • 1College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha 410073, China
  • 2Aerospace Technology Institute, China Aerodynamic Research and Development Center, Mianyang 621000, China
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    DOI: 10.3788/IRLA20220704 Cite this Article
    Chunfeng Gao, Guo Wei, Qi Wang, Zhenyu Xiong, Zekun Yang, Wenjian Zhou, Wanqing Liu. Height measurement method based on one-dimensional laser Doppler velocimeter and integrated navigation system of single-axis rotation inertial navigation system (invited)[J]. Infrared and Laser Engineering, 2022, 51(12): 20220704 Copy Citation Text show less

    Abstract

    A new method to improve the height measurement accuracy of the integrated navigation system of one-dimensional laser Doppler velocimeter (LDV) and single-axis rotation inertial navigation system (INS) is explored in this paper. The attitude output after base tilt compensation of the single-axis rotation INS is used to provide a high-precision attitude reference for the LDV. The height measurement principle of the one-dimensional LDV with dual-beam differential structure is studied, and the base tilt compensation method of single-axis rotation INS is analyzed. On the basis of theoretical analysis, on-vehicle experiments are carried out to verify the effectiveness of the designed height measurement method. Two groups of 35-40 min on-vehicle tests are completed. The maximum error of height measurement in the first group is -2.67 m, and the standard deviation is 1.0094 m; The maximum error of the second group of height measurement is 1.68 m, and the standard deviation is 0.5880 m, reaching the expected target that the continuous dynamic height measurement accuracy is better than 3 m under the vehicle condition. The related research proves the effectiveness of the height measurement method based on integrated navigation system of single-axis rotation INS and one-dimensional LDV.
    $ {f_{\rm{D}}} = \frac{{2v}}{\lambda }\sin \frac{\theta }{2} $(1)

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    $ v = \dfrac{{\lambda {f_{\rm{D}}}}}{{2\sin \dfrac{\theta }{2}}} = \dfrac{{c{f_{\rm{D}}}/{f_i}}}{{2\sin \dfrac{\theta }{2}}} = \dfrac{{{c_0}{f_{\rm{D}}}}}{{2{n_a}{f_i}\sin \dfrac{\theta }{2}}} $(2)

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    $ V_{}^b = \left[ {VxbVybVzb} \right] = \left[ {sinφcosηcosφcosηsinη} \right]\frac{v}{{\cos \lambda }} $(3)

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    $ V_{}^n = \left[ {VEnVNnVUn} \right] = C_b^nV_{}^b = C_b^n\left[ {VxbVybVzb} \right] $(4)

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    $ Cbn=[cosθcosψ+sinθsinϕsinψcosϕsinψcosθsinψ+sinθsinϕcosψcosϕcosψsinθcosϕsinϕsinθcosψcosθsinϕsinψsinθsinψcosθsinϕcosψcosθcosϕ] $(5)

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    $ VUn = (sinθcosψcosθsinϕsinψ)Vxb(sinθsinψ + cosθsinϕcosψ)Vyb+ (cosθcosϕ)Vzb $(6)

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    $ h(t) = V_U^n \cdot T + h({t_0}) $(7)

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    $ ω~iss=(I+δKg)(I+δCg)ωiss+εf~iss=(I+δKa)(I+δCa)fiss+$(8)

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    $ δωiss = ω~issωiss=(δKg+δCg)ωiss+εδfiss = f~issfiss=(δKa+δCa)fiss+$(9)

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    $ ϕ˙=ωinn×ϕ+δωinnCbnCsbδωissδv˙=fn×ϕ+CbnCsbδfiss(2ωien+ωenn)×δv(2δωien+δωenn)×vδg $(10)

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    $ δωisn = Csn[(δKg+δCg)(Cbsωibb+ωbss)+ε]δfisn = Csn[(δKa+δCa)(Cbsfibb+fbss)+]$(11)

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    $ [xsyszs]=[cosηcosβsinηsinαsinβsinηcosαcosηsinβ+sinηsinαcosβsinηcosβ+cosηsinαsinβcosθsinβcosηcosαsinαsinηsinβcosηsinαcosβcosαcosβ][xbybzb]=Cbs[xbybzb] $(12)

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    $ [xsyszs]=[cosηsinηsinηcosηβcosη+αsinηβsinηαcosηβα1][xbybzb]=Cbs[xbybzb] $(13)

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    $ C_s^n = C_b^nC_s^b = C_b^n{(C_b^s)^{\rm{T}}} $(14)

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    $ Csn(η1)=Cbn(Cbs(η1))T=Cbn[cosη1sinη1βcosη1+αsinη1sinη1cosη1βsinη1αcosη1βα1]$(15)

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    $ Csn(η2)=Cbn(Cbs(η2))T=Cbn[cosη1sinη1βcosη1αsinη1sinη1cosη1βsinη1+αcosη1βα1]$(16)

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    $ ΔC=Csn(η1)+Csn(η2)=Cbn[2T13β2T13α2T132T23β2T23α2T232T33β2T33α2T33]=[C11C12C13C21C22C23C31C32C33] $(17)

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    $ \alpha = {C_{12}}/{C_{13}} = {C_{22}}/{C_{23}} = {C_{32}}/{C_{33}} $(18)

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    $ \beta = - {C_{11}}/{C_{13}} = - {C_{21}}/{C_{23}} = - {C_{31}}/{C_{33}} $(19)

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    Chunfeng Gao, Guo Wei, Qi Wang, Zhenyu Xiong, Zekun Yang, Wenjian Zhou, Wanqing Liu. Height measurement method based on one-dimensional laser Doppler velocimeter and integrated navigation system of single-axis rotation inertial navigation system (invited)[J]. Infrared and Laser Engineering, 2022, 51(12): 20220704
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