Analysis of fiber optic gyroscope vibration error based on improved local mean decomposition and kernel principal component analysis

Rui Song; Xiyuan Chen

doi:10.1364/AO.56.002265

Applied Optics
Vol. 56,
Issue 8,
pp. 2265-2272
(2017)
•https://doi.org/10.1364/AO.56.002265

Analysis of fiber optic gyroscope vibration error based on improved local mean decomposition and kernel principal component analysis

Rui Song and Xiyuan Chen

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Rui Song and Xiyuan Chen, "Analysis of fiber optic gyroscope vibration error based on improved local mean decomposition and kernel principal component analysis," Appl. Opt. 56, 2265-2272 (2017)

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Abstract

The fiber optic gyroscope (FOG), one version of an all solid-state rotation sensor, has been widely used in navigation and position applications. However, the elastic-optic effect of fiber will introduce a non-negligible error in the output of FOG in a vibration and shock environment. To overcome the limitations of mechanism structure improvement methods and the traditional nonlinear analysis approaches, a hybrid algorithm of an optimized local mean decomposition–kernel principal component analysis (OLMD–KPCA) method is proposed in this paper. The vibration signal features of higher frequency components are analyzed by OLMD and their energy is calculated to take shape as the input vector of KPCA. In addition, the output data of three axis gyroscopes in an inertial measurement unit (IMU) under vibration experiment are used to validate the effectiveness and generalization ability of the proposed approach. When compared to the wavelet transform (WT), experimental results demonstrate that the OLMD–KPCA method greatly reduces the vibration noise in the FOG output. Besides, the Allan variance analysis results indicate the error coefficients could be decreased by one order of magnitude and the algorithm stability of OLMD–KPCA is proven by another two sets of data under different vibration conditions.

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		$Q (μrad)$	$N (° / h^{1 / 2})$	$B (° / h)$	$K (° / h^{3 / 2})$	$R (° / h^{2})$
Raw data	Before vibration	0.280	0.001	0.030	0.295	0.961
	Vibration	7.157	0.012	0.301	2.394	6.937
	After vibration	2.123	0.004	0.061	0.453	1.400
	All data	4.617	0.007	0.141	0.755	1.411
WT	Before vibration	0.024	$1.461 e - 04$	0.005	0.122	0.455
	Vibration	5.635	0.013	0.292	2.377	6.995
	After vibration	1.668	0.003	0.021	0.501	2.079
	All data	3.612	0.007	0.129	0.679	1.265
HHT	Before vibration	0.305	0.002	0.015	0.105	0.452
	Vibration	3.330	0.022	0.410	3.571	10.540
	After vibration	1.284	0.009	0.170	1.493	4.701
	All data	2.023	0.013	0.135	0.778	1.483
LMD–KPCA	Before vibration	0.164	0.001	0.027	0.268	0.871
	Vibration	2.371	0.013	0.227	2.123	6.599
	After vibration	0.681	0.004	0.095	0.840	2.734
	All data	1.611	0.008	0.031	0.266	0.639
OLMD–KPCA	Before vibration	0.014	$4.268 e - 05$	0.002	0.019	0.056
	Vibration	0.325	$6.597 e - 04$	0.024	0.184	0.520
	After vibration	0.098	$2.286 e - 04$	0.006	0.047	0.152
	All data	0.199	$3.199 e - 04$	0.009	0.051	0.098

		$Q (μrad)$	$N (° / h^{1 / 2})$	$B (° / h)$	$K (° / h^{3 / 2})$	$R (° / h^{2})$
Gyro Y	Raw data	33.683	0.032	0.490	2.616	4.987
	WT	32.145	0.007	0.242	1.383	2.699
	LMD–KPCA	11.203	0.045	0.578	2.483	4.957
	OLMD–KPCA	1.337	0.002	0.033	0.299	1.239
Gyro Z	Raw data	23.637	0.028	0.562	3.256	6.561
	WT	5.355	0.032	0.121	1.289	3.184
	LMD–KPCA	2.145	0.018	0.385	2.297	4.720
	OLMD–KPCA	0.563	0.002	0.045	0.279	1.105

	Gyro X				Gyro Y				Gyro Z
	Raw Data	WT	LMD–KPCA	OLMD–KPCA	Raw Data	WT	LMD–KPCA	OLMD–KPCA	Raw Data	WT	LMD–KPCA	OLMD–KPCA
$Q (μrad)$	6.262	5.593	1.363	0.255	17.744	16.713	2.657	0.431	14.810	14.025	0.435	0.337
$N (° / h^{1 / 2})$	0.014	0.010	0.017	$8.759 e - 04$	0.032	0.032	0.015	$7.431 e - 04$	0.019	0.022	0.003	$1.464 e - 04$
$B (° / h)$	0.227	0.143	0.181	0.013	0.558	0.566	0.391	0.020	0.355	0.405	0.247	0.009
$K (° / h^{3 / 2})$	1.210	0.767	0.919	0.067	2.911	2.959	1.915	0.098	1.884	2.154	0.271	0.049
$R (° / h^{2})$	2.256	1.431	1.648	0.201	5.302	5.391	3.612	0.171	3.487	3.994	2.294	0.106

	Gyro X				Gyro Y				Gyro Z
	Raw data	WT	LMD– KPCA	OLMD– KPCA	Raw data	WT	LMD– KPCA	OLMD– KPCA	Raw data	WT	LMD– KPCA	OLMD– KPCA
$Q (μrad)$	12.915	12.114	9.790	0.242	7.680	6.830	3.258	0.138	7.093	6.270	3.695	0.125
$N (° / h^{1 / 2})$	0.018	0.018	0.005	$5.061 e - 04$	0.012	0.006	0.008	$2.647 e - 04$	0.010	0.006	0.009	$1.549 e - 04$
$B (° / h)$	0.301	0.289	0.093	0.010	0.172	0.063	0.082	0.006	0.153	0.069	0.031	0.007
$K (° / h^{3 / 2})$	1.635	1.557	0.482	0.181	0.833	0.268	0.419	0.029	0.822	0.426	0.270	0.039
$R (° / h^{2})$	3.164	3.002	0.908	0.335	1.423	0.429	0.720	0.051	1.492	0.820	0.517	0.103

		$Q (μrad)$	$N (° / h^{1 / 2})$	$B (° / h)$	$K (° / h^{3 / 2})$	$R (° / h^{2})$
Raw data	Before vibration	0.280	0.001	0.030	0.295	0.961
	Vibration	7.157	0.012	0.301	2.394	6.937
	After vibration	2.123	0.004	0.061	0.453	1.400
	All data	4.617	0.007	0.141	0.755	1.411
WT	Before vibration	0.024	$1.461 e - 04$	0.005	0.122	0.455
	Vibration	5.635	0.013	0.292	2.377	6.995
	After vibration	1.668	0.003	0.021	0.501	2.079
	All data	3.612	0.007	0.129	0.679	1.265
HHT	Before vibration	0.305	0.002	0.015	0.105	0.452
	Vibration	3.330	0.022	0.410	3.571	10.540
	After vibration	1.284	0.009	0.170	1.493	4.701
	All data	2.023	0.013	0.135	0.778	1.483
LMD–KPCA	Before vibration	0.164	0.001	0.027	0.268	0.871
	Vibration	2.371	0.013	0.227	2.123	6.599
	After vibration	0.681	0.004	0.095	0.840	2.734
	All data	1.611	0.008	0.031	0.266	0.639
OLMD–KPCA	Before vibration	0.014	$4.268 e - 05$	0.002	0.019	0.056
	Vibration	0.325	$6.597 e - 04$	0.024	0.184	0.520
	After vibration	0.098	$2.286 e - 04$	0.006	0.047	0.152
	All data	0.199	$3.199 e - 04$	0.009	0.051	0.098

Abstract

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Applied Optics