Two-axis Gimbal System Stabilization Using Adaptive Feedback Linearization

Author(s): Amir Naderolasli, Mohammad Tabatabaei*

Journal Name: Recent Advances in Electrical & Electronic Engineering
Formerly Recent Patents on Electrical & Electronic Engineering

Volume 13 , Issue 3 , 2020


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Graphical Abstract:


Abstract:

Background: This paper is devoted to adaptive feedback linearization based stabilization of a two-axis gimbal platform.

Methods: A Lyapunov based adaptation mechanism is proposed for stabilization of a two axes gimbal system through a feedback linearized control structure. The uncertainty of the products of inertia is incorporated in the design procedure.

Results: The performed computer simulations demonstrate the robust performance of the proposed two-axis gimbal stabilizer considering the cross-coupling effects between inner and outer gimbals.

Conclusion: The proposed control structure could be utilized in guided missiles, spacecraft, and navigation systems.

Keywords: Two-axis gimbal system, stabilization, adaptive feedback linearization, lyapunov based adaptation mechanism, Line of Sight (LOS), loop controller.

[1]
N. Bihari, S.P. Dash, K.C. Dhankani, and J.M. Pearce, "3-D printable open source dual axis gimbal system for optoelectronic measurements", Mechatronics, 2018.
[http://dx.doi.org/10.1016/j.mechatronics.2018.07.005]
[2]
A.K. Rue, "Precision stabilization systems", IEEE T. Aero. Elec. Sys., vol. 10, no. 1, pp. 34-42, 1974.
[http://dx.doi.org/10.1109/TAES.1974.307961]
[3]
M.K. Masten, "Inertially stabilized platforms for optical imaging systems", IEEE Contr. Syst. Mag., vol. 28, no. 1, pp. 47-64, 2008.
[http://dx.doi.org/10.1109/MCS.2007.910201]
[4]
B. Ekstrand, "Equations of motion for a two-axes gimbal system", IEEE T. Aero. Elec. Sys., vol. 37, no. 3, pp. 1083-1091, 2001.
[http://dx.doi.org/10.1109/7.953259]
[5]
P.J. Kennedy, and R.L. Kennedy, "Direct versus indirect Line Of Sight (LOS) stabilization", IEEE Trans. Contr. Syst. Technol., vol. 11, no. 1, pp. 3-15, 2003.
[http://dx.doi.org/10.1109/TCST.2002.806443]
[6]
T.J. Yeh, C.Y. Su, and W.J. Wang, "Modelling and control of a hydraulically actuated two-degree-of-freedom inertial platform", In: Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering, vol. 219. no. 1, pp. 405-417. 2005
[7]
J. Lyou, M.S. Kang, H. Kwak, and Y.J. Choi, "Dual stage and image processing-based method for sight stabilization", J. Mech. Sci. Technol., vol. 23, no. 8, pp. 2097-2106, 2009.
[http://dx.doi.org/10.1007/s12206-009-0356-x]
[8]
Y. Shuang, and Z. Yanzheng, "A new measurement method for unbalanced moments in a two-axis gimbaled seeker", Chin. J. Aeronauti., vol. 23, no. 1, pp. 117-122, 2010.
[http://dx.doi.org/10.1016/S1000-9361(09)60195-3]
[9]
Z. Hurak, and M. Rezac, "Image-based pointing and tracking for inertially stabilized airborne camera platform", IEEE Trans. Contr. Syst. Technol., vol. 20, no. 5, pp. 1146-1159, 2012.
[http://dx.doi.org/10.1109/TCST.2011.2164541]
[10]
D. Stevenson, and H. Schaub, "Nonlinear control analysis of a double-gimbal variable-speed control moment gyroscope", J. Guid. Control Dyn., vol. 35, no. 3, pp. 787-793, 2012.
[http://dx.doi.org/10.2514/1.56104]
[11]
M. Abdo, A.R. Vali, A. Toloei, and M.R. Arvan, "Research on the cross-coupling of a two axes gimbal system with dynamic unbalance", Int. J. Adv. Robot. Syst., vol. 10, no. 10, pp. 1-13, 2013.
[http://dx.doi.org/10.5772/56963]
[12]
Q. Luo, D. Li, and J. Jiang, "Coupled dynamics analysis of a single gimbal control moment gyro cluster integrated with an isolation system", J. Sound Vibrat., vol. 333, no. 2, pp. 345-363, 2014.
[http://dx.doi.org/10.1016/j.jsv.2013.09.015]
[13]
A.S. Salatun, and P.M. Bainum, "Analysis of a double gimbaled reaction wheel spacecraft attitude stabilization system", Acta Astronaut., vol. 10, no. 2, pp. 55-66, 1983.
[http://dx.doi.org/10.1016/0094-5765(83)90001-2]
[14]
C.L. Lin, and Y.H. Hsiao, "Adaptive feedforward control for disturbance torque rejection in seeker stabilizing loop", IEEE T. Contr. Syst. T., vol. 9, no. 1, pp. 108-121, 2001.
[http://dx.doi.org/10.1109/87.896752]
[15]
K.J. Seong, H.G. Kang, B.Y. Yeo, and H.P. Lee, "The stabilization loop design for a two-axis gimbal system using LQG/LTR controller", In: Proceedings of the SICE-ICASE International Joint Conference, Busan, South Korea, 2006, pp. 755-759.
[http://dx.doi.org/10.1109/SICE.2006.315268]
[16]
S.B. Kim, S.H. Kim, and Y.K. Kwak, "Robust control for two-axis gimbaled sensor system with multivariable feedback systems", IET Control Theory Appl., vol. 4, no. 4, pp. 539-551, 2010.
[http://dx.doi.org/10.1049/iet-cta.2008.0195]
[17]
Q. Hasturk, A.M. Erkmen, and I. Erkmen, "Proxy-based sliding mode stabilization of a two-axis gimbaled platform", In: Proceedings of the World Congress on Engineering and Computer Science (WCECS), San Francisco, USA, 2011.
[18]
J. Wei, Q. Li, B. Xu, D. Zhao, and S. Fang, "Adaptive fuzzy PID composite control with hysteresis-band switching for line of sight stabilization servo system", Aerosp. Sci. Technol., vol. 15, no. 1, pp. 25-32, 2011.
[http://dx.doi.org/10.1016/j.ast.2010.05.006]
[19]
Y. Chen, H. Chu, T. Sun, L. Guo, and F. Zhang, "Two-axis gimbal platform controller design in finite time application occasions: LMI approach", Optik (Stuttg.), vol. 158, pp. 831-841, 2018.
[http://dx.doi.org/10.1016/j.ijleo.2017.12.172]
[20]
M. Khayatian, and M.M. Arefi, "Adaptive dynamic surface control of a two-axis gimbal system", IET Sci. Measur. Technol., vol. 10, no. 6, pp. 607-613, 2016.
[http://dx.doi.org/10.1049/iet-smt.2016.0005]
[21]
S.T. Zhan, W.X. Yan, Z. Fu, and Y.Z. Zhao, "Optimal feedback stabilization of a two-axis gimbaled system subject to saturation nonlinearity and multiple disturbances", In: Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 228. no. 2, pp. 248-261. 2014
[22]
M.M. Abdo, A.R. Vali, A.R. Toloei, and M.R. Arvan, "Stabilization loop of a two axes gimbal system using self-tuning PID type fuzzy controller", ISA Trans., vol. 53, no. 2, pp. 591-602, 2014.
[http://dx.doi.org/10.1016/j.isatra.2013.12.008] [PMID: 24461337]
[23]
A. Qadir, W. Semke, and J. Neubert, "Vision based neuro-fuzzy controller for a two axes gimbal system with small UAV", J. Intell. Robot. Syst., vol. 74, no. 3, pp. 1029-1047, 2014.
[http://dx.doi.org/10.1007/s10846-013-9865-z]
[24]
X. Zhou, H. Zhang, and R. Yu, "Decoupling control for two-axis inertially stabilized platform based on an inverse system and internal model control", Mechatronics, vol. 24, no. 8, pp. 1203-1213, 2014.
[http://dx.doi.org/10.1016/j.mechatronics.2014.09.004]
[25]
S. Junyi, P. Feng, C. Yanchun, L. Weixing, and Z. Junhua, "Research on an extended state observer based self-tuning control strategy for a two-axis four-gimbal servo system", In: Proceedings of the 34th Chinese Control Conference, Hangzhou, China, 2015, pp. 4400-4405.
[http://dx.doi.org/10.1109/ChiCC.2015.7260321]
[26]
M. Abdo, A.R. Vali, A.R. Toloei, and M.R. Arvan, "Improving two axes gimbal seeker performance using cascade control approach", J. Aerosp. Eng., vol. 229, no. 1, pp. 38-55, 2015.
[27]
A. Naderolasli, and M. Tabatabaei, "Stabilization of the two-axis gimbal system based on an adaptive fractional-order sliding-mode controller", J. Inst. Electron. Telecommun. Eng., vol. 63, no. 1, pp. 124-133, 2017.
[http://dx.doi.org/10.1080/03772063.2016.1229581]
[28]
J-J. Slotine, and W. Li, Applied Nonlinear Control., Prentice Hall: USA, 1991.
[29]
X. Zhang, and Y. Wang, "Robust fuzzy control for de-icing robot manipulator based on sliding mode technique", Recent Adv. Electr. Electron. Eng., vol. 7, no. 2, pp. 130-139, 2014.
[http://dx.doi.org/10.2174/2213111607666140701173428]
[30]
M.S. Qureshi, P. Swarnkar, and S. Gupta, "Fuzzy PID sliding mode control for robotics: An applications to surgical robot", Rec. Adv. Electr. Electron. Eng., 2018.
[http://dx.doi.org/10.2174/2352096511666180531104413]
[31]
K.J. Astrom, and B. Wittenmark, Adaptive Control., Addison-Wesley: Reading, MA, 1995.


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Article Details

VOLUME: 13
ISSUE: 3
Year: 2020
Published on: 17 May, 2020
Page: [355 - 368]
Pages: 14
DOI: 10.2174/2352096512666181128095433
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