Spacecraft structure reconstruction with fiber bragg grating and incremental extreme learning machine

Parameters	Parameter setting	Parameters	Parameter setting
Measuring range	±1000 με	Number of FBG	24
Transformation factor	1.22 pm/με	Paste location	completely pasted on surface
Inter-sensor buffer	0.3 nm	Paste reagent	Epoxy glue
Minimum wavelength interval	2.74 nm	Network form	Quasi-distributed network

Table 2. Strain data of FBG measuring points

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Table 2. Strain data of FBG measuring points

Fiber channel 1 （ $\times 10^{- 6}$ ）
Step	FBG1	FBG2	FBG3	FBG4	FBG5	FBG6	FBG7	FBG8	FBG9	FBG10	FBG11	FBG12
1	23.8	11.5	14.8	30.3	104.1	18.9	16.4	94.3	26.2	23.0	-10.7	14.8
2	31.1	12.3	19.7	44.3	145.9	29.5	26.2	132.8	39.3	31.1	-17.2	20.5
3	41.0	10.7	25.4	60.7	191.8	44.3	39.3	173.0	54.1	39.3	-27.9	27.0
4	53.3	7.4	30.3	76.2	235.2	60.7	53.3	209.0	68.9	47.5	-39.3	35.2
5	69.7	0.8	36.1	92.6	276.2	77.0	68.0	242.6	84.4	56.6	-55.7	42.6
6	86.9	-17.2	36.9	108.2	318.9	91.8	84.4	280.3	106.6	71.3	-77.9	53.3
Fiber channel 2 （ $\times 10^{- 6}$ ）
Step	FBG13	FBG14	FBG15	FBG16	FBG17	FBG18	FBG19	FBG20	FBG21	FBG22	FBG23	FBG24
1	18.9	-7.4	13.9	18.9	86.9	23.8	27.0	103.3	22.1	12.3	21.3	16.4
2	24.6	-13.1	18.9	27.9	127.0	35.2	39.3	143.4	34.4	18.9	14.8	23.0
3	34.4	-23.8	26.2	40.2	161.5	50.0	56.6	184.4	49.2	27.9	10.7	31.1
4	42.6	-34.4	34.4	53.3	191.8	63.9	73.0	218.9	64.8	36.9	3.3	38.5
5	51.6	-47.5	42.6	68.0	220.5	80.3	89.3	252.5	82.0	46.7	-8.2	48.4
6	60.7	-69.7	55.7	86.1	250.0	98.4	107.4	289.3	103.3	60.7	-26.2	59.0

Table 3. Measurement point data of shift amount
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Table 3. Measurement point data of shift amount
Step 1 2 3 4 5
1 0.791 0.831 1.518 0.661 0.687
2 1.192 1.233 2.219 0.971 1.006
3 1.702 1.729 3.011 1.338 1.374
4 2.258 2.234 3.783 1.720 1.741
5 2.911 2.816 4.567 2.130 2.126
6 3.495 3.325 5.382 2.583 2.542

Table 4. Model error of I_ELM
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Table 4. Model error of I_ELM
Situation Running time/s RMSE/mm MAE/mm
1 0.298 7 0.003 7 0.044 8
2 0.289 3 0.004 1 0.047 5
3 0.278 9 0.005 2 0.046 0

Table 5. Reconstruction error of I_ELM，ELM and curvature transformation method

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Table 5. Reconstruction error of I_ELM，ELM and curvature transformation method

Error	Algorithm	1	2	3	4	5	6
MAE/mm	ELM	0.043	0.060	0.065	0.036	0.074	0.034
	CTM	0.108	0.074	0.096	0.049	0.040	0.030
	I_ELM	0.024	0.033	0.042	0.049	0.040	0.030
RMSE/mm	ELM	0.002 0	0.003 8	0.004 7	0.002 1	0.006 2	0.001 5
	CTM	0.013 9	0.008 2	0.012 5	0.013 3	0.056 8	0.060 3
	I_ELM	0.001 0	0.001 8	0.002 7	0.004 3	0.002 6	0.001 8

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Fu-sheng ZHANG, Lei ZHANG, Yang ZHAO. Spacecraft structure reconstruction with fiber bragg grating and incremental extreme learning machine[J]. Optics and Precision Engineering, 2021, 29(12): 2964

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