LQR Controller for Stabilization of Bio-Inspired Flapping Wing UAV in Gust Environments | Journal of Intelligent & Robotic Systems
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LQR Controller for Stabilization of Bio-Inspired Flapping Wing UAV in Gust Environments

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Abstract

The size of unmanned aerial vehicles (UAVs) makes them very sensitive to atmospheric turbulences thereby restraining their capability of stable flight. To resolve this serious concern, disturbance mitigation capabilities of birds have been studied in depth and it has been found that birds use covert feathers to alleviate gusts. This paper proposes a model of bio-inspired gust mitigation system (GMS) for a flapping wing UAV (FUAV) imitating covert feathers using bond graph modeling approach. Further, reduced order modeling of the GMS is presented for reducing the computational complexity and performing the stability analysis. A biomimetic closed loop flight controller based on LQR is developed for the proposed GMS to achieve stable flight during gusts. Finally, simulations of the optimized model and proposed control strategy always depict stable behavior during turbulent flight with successful gust mitigation up to 50%. Moreover, close agreement between present results and experimental data in literature validates the proposed control method.

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Data Availability

The data that support the findings of this study are available from the corresponding author, S.H. Abbasi, upon reasonable request.

References

  1. Mohamed, A., Watkins, S., OL, M. V., Jones, A. R.: Flight-relevant gusts: computation-derived guidelines for micro air vehicle ground test unsteady aerodynamics. J. Aircraft 58(3), (2021). https://doi.org/10.2514/1.C035920

  2. Ratti, J., Jung-Ho, M., Vachtsevanos, G.: Towards low-power, low-profile avionics architecture and control for micro aerial vehicles. Aerospace Conference IEEE 5–12, 1–8 (2011)

    Google Scholar 

  3. Barron Associates.: Adaptive control for synthetic jet actuators, URL: www.barron-associates.com/adaptive-control-of-synthetic-jet-actuators/. Accessed 26 Dec 2021

  4. Li, L., Zhou, B., Huang, H., Sun, H.: Vortex generator design and numerical investigation for wake non-uniformity and cavitation fluctuation pressure reduction. Ocean Eng. 229, 108965 (2021). https://doi.org/10.1016/j.oceaneng.2021.108965. (ISSN 0029-8018)

    Article  Google Scholar 

  5. Tejaswi, K. C., Kang, C. - K., Lee, T.: "Dynamics and Control of a Flapping Wing UAV with Abdomen Undulation Inspired by Monarch Butterfly," 2021 American Control Conference (ACC), pp. 66–71, (2021). https://doi.org/10.23919/ACC50511.2021.9483293

  6. Blower, C. J., Wickenheiser, A. M.: “The Development of a Closed-loop Flight Controller for Localized Flow Control and Gust Alleviation Using Biomimetic Feathers on Aircraft Wings,” Proceedings: ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2011–5109, (2011)

  7. Moore, N.: Birds, bats and insects hold secrets for aerospace engineers, URL: ns.mich.edu/htdocs/releases/story.php?id=6312. Accessed 2 Feb 2022

  8. Osborne, F.M.: Aerodynamics of flapping light with applications to insects. J. Exp. Biol. 28, 221–245 (1950)

    Article  Google Scholar 

  9. Ling, H., Luo, H., Chen, H., Bai, L., Zhu, T., Wang, Y.: Modelling and simulation of distributed UAV swarm cooperative planning and perception. Int. J. Aerospace Eng. 2021, Article ID 9977262 (2021). https://doi.org/10.1155/2021/9977262. (11 pages)

    Article  Google Scholar 

  10. Weis-Fogh, T.: Quick estimates of flight in hovering animals, including novel mechanisms for lift production. J. Exp. Biol. 59, 169–230 (1973)

    Article  Google Scholar 

  11. Khan, Q., Akmeliawati, R.: Review on system identification and mathematical modeling of flapping wing micro-aerial vehicles. Appl. Sci. 11(4), 1546 (2021). https://doi.org/10.3390/app11041546

    Article  Google Scholar 

  12. Jahanbin, Z., Ghafari, A.S., Ebrahimi, A., Meghdari, A.: Multi-body simulation of a flapping-wing robot using an efficient dynamical model. J Braz Soc Mech Sci Eng 38(1), 133–149 (2016)

    Article  Google Scholar 

  13. Jahanbin, Z., Karimian, S.: Modeling and parametric study of a flexible flapping wing MAV using the bond graph approach. J Braz Soc Mech Sci Eng 40, 1–19 (2018)

    Article  Google Scholar 

  14. Orlowski, C. T., Girard, A. R.: “Dynamics, stability, and control analyses of flapping wing micro-air vehicles”, Progress in Aerospace Sciences (2012). https://doi.org/10.1016/j.paerosci.2012.01.001

  15. Wei-hong, X., Li-jia, C., Chun-lai, Z.: Review of aerial manipulator and its control. Int. J. Robot. Control Syst. 1(3), 308–325 (2021). https://doi.org/10.31763/ijrcs.v1i3.363

    Article  Google Scholar 

  16. Taha, H.E., Hajj, M.R., Nayfeh, A.H.: Flight dynamics and control of flapping-wing MAVs: a review. Nonlinear Dyn 70, 907–939 (2012). https://doi.org/10.1007/s11071-012-0529-5

    Article  MathSciNet  Google Scholar 

  17. Doman, D.B., Oppenheimer, M.W., Sigthorsson, D.O.: Dynamics and Control of a Biomimetic Vehicle Using Biased Wingbeat Forcing Functions: Part II: Controller. AIAA, Washington. 1024. (2010)

  18. Abbasi, S. H., Mahmood, A., Memon, S.A.: "Bond Graph Modeling and PID Control of a Bioinspired Electromechanical Covert Feather for a Flapping Wing Uav", International Cappadocia Scientific Research Congress, 15–17 December 2021, Cappadocia, Turkey, 271–276

  19. Doman, D.B., Oppenheimer, M.W., Sigthorsson, D.O.: Wingbeat shape modulation for flapping-wing micro-air vehicle control during hover. J. Guid. Control Dyn. 33(3), 724–739 (2010)

    Article  Google Scholar 

  20. Barbaraci, G.: Modeling and control of a quadrotor with variable geometry arms. J. Unmanned Vehicle Syst. 3(2), 35–57 (2015)

    Article  Google Scholar 

  21. Deng, X., Schenato, L., Wu, W.C., Sastry, S.S.: Flapping flight for biomemetic robotic insects: Part I System modeling. IEEE Trans. Robot. 22(4), 776–788 (2006)

    Article  Google Scholar 

  22. Sigthorsson, D. O., Oppenheimer, M. W., Doman, D. B.: “Flapping Wing Micro-Air-Vehicle 4-DOF Controller Applied to a 6-DOF Model,” AIAA Guidance, Navigation and Control Conference, AIAA Paper 2010–7554, (2010). https://doi.org/10.2514/6.2010-7554

  23. Biswal, S., et al.: Bioinspir. Biomim. in press (2019).https://doi.org/10.1088/1748-3190/aafc3c

  24. Bhatia, M., Patil, M., Woolsey, C.: Stabilization of flapping-wing micro-air vehicles in gust environments. J. Guid. Control Dyn. 37(2), (2014)

  25. Lee, J.-S., Kim, J.-K., Han, J.-H.: Stroke plane control for longitudinal stabilization of hovering flapping wing air vehicles. J. Guid. Control Dyn. 38(4), 800–805 (2015)

    Article  Google Scholar 

  26. Kalliny, A. N., El-Badawy, A. A., Elkhamisy, S. M.: Command-filtered integral backstepping control of longitudinal flapping-wing flight. J. Guid. Control Dyn. (2018) https://doi.org/10.2514/1.G003267

  27. Khan, Z., Agrawal, S.: Optimal hovering kinematics of flapping wings for micro air vehicles. J. Aircr. 49, 257–268 (2011). https://doi.org/10.2514/1.J050057

    Article  Google Scholar 

  28. Guo, J., Qi, J., Wu, C.: Robust fault diagnosis and fault-tolerant control for nonlinear quadrotor unmanned aerial vehicle system with unknown actuator faults. Int. J. Adv. Robot. Syst. (2021). https://doi.org/10.1177/17298814211002734

  29. Bakhtiari, A., Haghighi, S. E., Maghsoudpour, A.: Modeling and control of a flapping wing robot. Proc. IMechE Part K: J. Multi-body Dyn., 1–8. https://doi.org/10.1177/1464419318793503

  30. Bluman, J.E., Kang, C.K., Shtessel, Y.B.: Control of a flapping-wing micro air vehicle: sliding-mode approach. J. Guid. Control. Dyn. 41(5), 1223–1226 (2018)

    Article  Google Scholar 

  31. Abbasi, S.H., Mahmood, A.: Bio-Inspired gust mitigation system for a flapping wing UAV: modeling and simulation. J. Braz Soc. Mech. Sci. Eng. 41, 524 (2019). https://doi.org/10.1007/s40430-019-2044-9

    Article  Google Scholar 

  32. Abbasi, S. H., Mahmood, A.: "Modeling, Simulation and Control of a Bio-Inspired Electromechanical Feather for Gust Mitigation in Flapping Wing UAV," 2019 2nd International Conference on Communication, Computing and Digital systems (C-CODE), pp. 195–200 (2019) https://doi.org/10.1109/C-CODE.2019.8681016

  33. Abbasi, S.H., Mahmood, A.: Abdul Khaliq: “bioinspired feathered flapping wing UAV design for operation in gusty environment.” J. Robot. 2021, Article ID 8923599 (2021). https://doi.org/10.1155/2021/8923599. (14 pages)

    Article  Google Scholar 

  34. Send, W., et al.: “Artificial hinged-wing bird with active torsion and partially linear kinematics”, 28th International Congress of the Aeronautical Sciences (2012)

  35. Karnopp, D.C., Margolis, D.L., Rosenberg, R.C.: System dynamics modeling and simulation of mechatronic systems. Wiley, Canada (2000)

    Google Scholar 

  36. Barbaraci, G., VirzìMariotti, G.: Sub-optimal control law for active magnetic bearings suspension. J. Control Eng. Technol. (JCET) 2(1), 1–10 (2012)

    Google Scholar 

  37. Abbasi, S. H., Imran, M., Mahmood, A.: "Model Order Reduction of a Bio-Inspired Gust Mitigation System for a Flapping Wing UAV", Ankara V. International Scientific Research Congress, October 10–12, Ankara, Turkey, 281–288 (2021)

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, SS CASE IT, Islamabad, Pakistan

    S. H. Abbasi, A. Mahmood & A. Khaliq

  2. National University of Science and Technology (NUST), Islamabad, Pakistan

    Muhammad Imran

Authors
  1. S. H. Abbasi
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  2. A. Mahmood
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  3. A. Khaliq
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  4. Muhammad Imran
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Contributions

The study is supervised by Dr. Asif Mahmood Mughal; Methodology, Design, Modeling, Control and the original draft is prepared by Saddam Hussain Abbasi and Dr. Muhammad Imran; Review and editing by Dr. Abdul Khaliq; The results were analyzed and validated by Dr. Asif Mahmood Mughal. All authors have read and agreed to the published version of the manuscript.

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Correspondence to S. H. Abbasi.

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Abbasi, S.H., Mahmood, A., Khaliq, A. et al. LQR Controller for Stabilization of Bio-Inspired Flapping Wing UAV in Gust Environments. J Intell Robot Syst 105, 79 (2022). https://doi.org/10.1007/s10846-022-01699-w

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