Abstract
The measurement error of a double-edge wind lidar caused by a disturbed Fabry–Perot interferometer (FPI) is analyzed. Several error sources such as air pressure variations, temperature changes, and mechanical vibrations are considered in the measurement-error model. The simulation results show that a double-edge wind lidar is so sensitive to environmental variations that the measurement error reaches ±60 m/s if the FPI is not stabilized. In order to compensate the external disturbance acting on the FPI, a nonlinear proportional–integral–derivative (PID) control scheme is designed based on the transmission measurement of the calibration channel. An arc tangent function is used to improve the feedback gain of the usual PID control design. The results show that with the new controller the measurement accuracy of the wind lidar can be improved 4–5 times in comparison with the usual control design, and the range of the measurement error is only ±3 m/s.
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References
A. Garnier and M. L. Chanin, Appl. Phys. B., 55, 35 (1992).
F. F. Hall, Jr., R. M. Huffaker, R. M. Hardesty, et al., Appl. Opt., 23, 2503 (1984).
M. L. Chanin, A. Garnier, A. Hauchecorne, and J. Porteneuve, Geophys. Res. Lett., 16, 1273 (1989).
A. F. Bunkin, A. A. Nurmatov, and S. M. Pershin, Phys. Vibr., 9, 189 (2001).
S. M. Pershin, A. N. Lyash, and V. S. Makarov, Phys. Vibr., 9, 256 (2001).
S. M. Pershin, V. A. Alekseev, N. G. Alekseeva, and A. D. Zhigalin, Phys. Wave Phenom., 16, 159 (2008).
V. M. Gordienko, A. V. Koryabin, N. V. Kravtsov, and V. V. Firsov, Laser Phys. Lett., 5, 390 (2008).
T. G. Adiks, A. F. Bunkin, and S. M. Pershin, Laser Phys., 15, 739 (2005).
Q. H. Zheng, Opt. Express, 15, 14257 (2007).
W. Qian, W. Qi, and Cheng Yuanli, J. Russ. Laser Res., 29, 390 (2008).
C. L. Korb, B. M. Gentry, and C. Y. Weng, Appl. Opt., 32, 4202 (1992).
Michael Bass, Handbook of Optics, 2nd Ed., McGraw-Hill (1995), Vol. IV, Chap. 27.
C. Flesia and C. L. Korb, Appl. Opt., 38, 432 (1999).
David L. Fried, J. Opt. Soc. Am., 71, 914 (1981).
Y. Barkana and M. Belkin, Surv. Ophthalmol., 44, 459 (2000).
B. M. Gentry, H. L. Chen, and S. X. Li, Opt. Lett., 25, 1231 (2000).
M. L. Chanin, A. Garnier, A. Hauchecorne, and J. Porteneuve, Geophys. Res. Lett., 16, 1273 (1989).
K. P. Birch and M. J. Downs, Metrolog., 31, 315 (1994).
H. J. M. T. A. Adriaens, W. L. de Koning, and R. Banning, IEEE T. Mech., 5, 331 (2000).
M. Goldfarb and N. Celanovic, IEEE Contr. Syst. Magn., 17, 69 (1997).
T. Low and W. Guo, J. Microelectromech. S., 4, 230 (1995).
Designing with Piezoelectric Transducers: Nanopositioning Fundamentals, PI Corporation (2005).
R. J. Wai and C. H. Tu, IEEE Trans. Power Electr., 22, 563 (2007).
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Zheng, K., Yao, Y. & Wang, Q. Accuracy analysis and stabilization design of the Fabry–Perot frequency discriminator in double-edge wind lidars. J Russ Laser Res 30, 73–81 (2009). https://doi.org/10.1007/s10946-009-9054-5
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DOI: https://doi.org/10.1007/s10946-009-9054-5