Abstract
The flight dynamics of Micro Air Vehicles (MAVs) exhibit significant nonlinear characteristics, which cannot be ignored in simulation or analysis. In this study, a full nonlinear simulation of the flight dynamics characteristics of a fixed-wing MAV is performed. To strengthen the developed nonlinear mathematical modeling, the MAV’s mass properties and propulsion characteristics are experimentally investigated. Moreover, the aerodynamic characteristics of the designed fixed-wing MAV are experimentally measured in a wind tunnel. The experimental aerodynamics investigation includes the propeller wash effect and the same flight conditions of the MAV. These measured data are fed to the nonlinear flight dynamics model to improve its accuracy and ensure the nonlinear aerodynamics effect on the flight dynamics. The enhanced model is then validated against response experimental measurements of the MAV in the wind tunnel that is free to pitch at different control inputs and initial conditions. Furthermore, it is compared to the response of the system identification model. The nonlinear simulation and dynamic testing investigations indicate many nonlinear phenomena, such as the appearance of the limit cycle in the longitudinal flight. This paper shows that the aerodynamic center of MAV with a low aspect ratio in the low Reynolds number regime of flow can move as a response to flap deflection. The validated nonlinear mathematical model was used to evaluate the MAV’s dynamics, design and evaluate a PID controller in flight conditions similar to the MAV’s actual flying mission. Moreover, the presented model can be used for flapping-wing MAVs using time-dependent experimental measurements.
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References
Hassanalian, M., Abdelkefi, A.: Classifications, applications, and design challenges of drones: A review. Prog. Aerosp. Sci. 91, 99–131 (2017)
Mirzaeinia, A., Hassanalian, M., Lee, K., Mirzaeinia, M.: Energy conservation of V-shaped swarming fixed-wing drones through position reconfiguration. Aerosp. Sci. Technol. 94, 105398 (2019)
Hassanalian, M., Throneberry, G., Abdelkefi, A.: Wing shape and dynamic twist design of bio-inspired nano air vehicles for forward flight purposes. Aerosp. Sci. Technol. 68, 518–529 (2017)
Hassanalian, M., Rice, D., Johnstone, S., Abdelkefi, A.: Performance analysis of fixed wing space drones in different solar system bodies. Acta Astronautica. 152, 27–48 (2018)
Hassanalian, M., Quintana, A., Abdelkefi, A.: Morphing and growing micro unmanned air vehicle: sizing process and stability. Aerosp. Sci. Technol. 78, 130–146 (2018)
Pines, D.J., Bohorquez, F.: Challenges facing future micro-air-vehicle development. J. Aircr. 43(2), 290–305 (2006)
Hrad, P.M., “Conceptual Design Tool for Fuel-Cell Powered Micro Air Vehicles (No. AFIT/GAE/ENY/10-M12),” Air Force Institute of Technology, Wright-Patterson AFB Graduate School of Engineering and Management, 2010
Stewart, K., Wagener, J., Abate, G., and Salichon, M. “Design of the air force research laboratory micro aerial vehicle research configuration,” 45th AIAA Aerospace Sciences Meeting and Exhibit, p.p. 667, 2007
Torres, G.E., Mueller, T.J.: Low aspect ratio aerodynamics at low Reynolds numbers. AIAA J. 42(5), 865–873 (2004)
Ananda, G.K., Sukumar, P.P., Selig, M.S.: Measured aerodynamic characteristics of wings at low Reynolds numbers. Aerosp. Sci. Technol. 42, 392–406 (2015)
Roberts, B., Lind, R. and Kumar, M., “Polynomial Chaos Analysis of MAV’s in Turbulence,” AIAA Atmospheric Flight Mechanics Conference, p.p. 6214, 2011
Suhariyono, A., Kim, J.H., Goo, N.S., Park, H.C., Yoon, K.J.: Design of precision balance and aerodynamic characteristic measurement system for micro aerial vehicles. Aerosp. Sci. Technol. 10(2), 92–99 (2006)
Zhan, J.X., Wang, W.J., Wu, Z., Wang, J.J.: Wind-tunnel experimental investigation on a fixed-wing micro air vehicle. J. Aircr. 43(1), 279–283 (2006)
Mueller, T.J., “Aerodynamic Measurements at Low Reynolds Numbers for Fixed Wing Micro-Air Vehicles,” Notre Dame University Department of Aerospace and Mechanical Engineering, 2000
Arivoli, D., Dodamani, R., Antony, R., Suraj, C.S., Ramesh, G., and Ahmed, S., “Experimental Studies on a Propelled Micro Air Vehicle,” 29th AIAA Applied Aerodynamics Conference, 2011
Żbikowski, R.: Fundamentals of micro air vehicle flight dynamics. Encyclopedia of Aerospace Engineering. (2010). https://doi.org/10.1002/9780470686652.eae407
Ozdemir, U., Kavsaoglu, M.S.: Linear and nonlinear simulations of aircraft dynamics using body axis system. Aircr. Eng. Aerosp. Technol. 80(6), 638–648 (2008)
Ahmed, U., “3-DOF Longitudinal Flight Simulation Modeling and Design Using MATLAB/SIMULINK,” Master of Science Thesis, Ryerson University, Toronto, Canada 2012
Jodeh, N.M., Blue, P.A., and Waldron, A.A., “Development of small unmanned aerial vehicle research platform: modeling and simulating with flight test validation,” AIAA Modeling and Simulation Technologies Conference and Exhibit, 2006, No. 2006–6261
Harikumar, K., Dhall, S., and Bhat, M. S., “Nonlinear modeling and control of coupled dynamics of a fixed wing micro air vehicle,” 2016 IEEE Indian Control Conference (ICC), pp. 318–323, 2016
Cai, H., Wu, Z., Li, Z., Xiao, T.: Computational fluid dynamics-based virtual flight simulation of a flying wing micro air vehicle. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering. 230(6), 1094–1102 (2016)
Kandath, H., Pushpangathan, J.V., Bera, T., Dhall, S., Bhat, M.S.: Modeling and closed loop flight testing of a fixed wing micro air vehicle. Micromachines. 9(3), 111 (2018)
Harikumar, K., Dhall, S., Bhat, S.: Design and experimental validation of a robust output feedback control for the coupled dynamics of a micro air vehicle. Int. J. Control. Autom. Syst. 17(1), 155–167 (2019)
van der Sman, E.S., Smeur, E.J., Remes, B., De Wagter, C. and Chu, Q., “Incremental Nonlinear Dynamic Inversion and Multihole Pressure Probes for Disturbance Rejection Control of Fixed-wing Micro Air Vehicles,” International Micro Air Vehicle Conference and Flight Competition (IMAV), 2017
Sibilski, K., Nowakowski, M., Rykaczewski, D., Szczepaniak, P., Żyluk, A., Sibilska-Mroziewicz, A., Garbowski, M., Wróblewski, W.: Identification of fixed-wing micro aerial vehicle aerodynamic derivatives from dynamic water tunnel tests. Aerospace. 7(8), 116 (2020)
Thompson, K., Xu, Y., Mark, A. and Dickinson, B., “Fixed wing micro aerial vehicle pitching control based on flow field patterns,” In AIAA Guidance, Navigation, and Control Conference, Grapevine, Texas, p. 1488, 9–13 January 2017
Barth, J.M., Condomines, J.P., Bronz, M., Moschetta, J.M., Join, C., Fliess, M.: Model-free control algorithms for micro air vehicles with transitioning flight capabilities. International Journal of Micro Air Vehicles. 12, 1–22 (2020)
Smith, Z.F., Jones, A.R. and Hrynuk, J.T., “Micro air vehicle scale gust-wing interaction in a wind tunnel. In 2018 AIAA aerospace sciences meeting, Kissimmee, Florida, p. 0573, 8–12 January 2018
Uhlig, D.V., Selig, M.S.: Modeling micro air vehicle aerodynamics in unsteady high angle-of-attack flight. J. Aircr. 54(3), 1064–1075 (2017)
Anjali, B.S., Vivek, A., Nandagopal, J.L.: Simulation and analysis of integral LQR controller for inner control loop design of a fixed wing micro aerial vehicle (MAV). Procedia Technology. 25, 76–83 (2016)
Poksawat, P., Wang, L., Mohamed, A.: Automatic tuning of attitude control system for fixed-wing unmanned aerial vehicles. IET Control Theory & Applications. 10(17), 2233–2242 (2016)
Aboelezz, A., Hassanalian, M., Desoki, A., Elhadidi, B., El-Bayoumi, G.: Design, experimental investigation, and nonlinear flight dynamics with atmospheric disturbances of a fixed-wing micro air vehicle. Aerosp. Sci. Technol. 97, 105636 (2020)
Blockset, “Aerospace Blockset User’s Guide’” The MathWorks, Inc., Natick, MA, 2007
Elkaim, G.H., Choi, J.W., Garalde, D. and Lizarraga, M., “Control System Modeling and Design for a Mars Flyer, MACH-1 Competition,” AIAA Guidance, Navigation and Control Conference and Exhibit, pp. 7453, 2008
Tewari, A.: Atmospheric and Space Flight Dynamics. Birkhũser, Boston (2007)
Nelson, R.C., “Flight stability and automatic control,” Vol. 2, WCB/McGraw Hill, 1998
Al-Radaideh, A., Al-Jarrah, M.A., Jhemi, A. and Dhaouadi, R., “ARF60 AUS-UAV modeling, system identification, guidance and control: Validation through hardware in the loop simulation,” IEEE Mechatronics and its Applications, ISMA'09 6th International Symposium, pp. 1–11, 2009
Rauw, M.O., “FDC 1.2-A Simulink Toolbox for Flight Dynamics and Control Analysis,” Zeist, The Netherlands, Vol. 1, No. 99, pp. 7, 2001
Stevens, B.L., Lewis, F.L. and Johnson, E.N., “Aircraft Control and Simulation: Dynamics, Controls Design, and Autonomous Systems,” John Wiley & Sons, 2015
Aboelezz, A., Elqudsi, Y., Hassanalian, M., Desoki, A.: Wind tunnel calibration, corrections and experimental validation for fixed-wing micro air vehicles measurements. Aviation. 4, 104–113 (2020). https://doi.org/10.3846/aviation.2019.11975
McClelland, W.A., “Inertia Measurement and Dynamic Stability Analysis of a Radio-Controlled Joined-Wing Aircraft (No. AFIT/GA/ENY/06-M07),” Air Force Institute of Technology, 2006
Balakrishna, S. and T. Niranjana. “Wind tunnel dynamic flying study of the pitching moment derivatives of the standard dynamics model in active control,” 14th Atmospheric Flight Mechanics Conference, 1987
Pattinson, J., Lowenberg, M.H., Goman, M.G.: Multi-degree-of-freedom wind-tunnel maneuver rig for dynamic simulation and aerodynamic model identification. J. Aircr. 50(2), 551–566 (2012)
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Conceptualization, A, Aboelezz; software, A, Aboelezz; resources, A, Aboelezz; writing original draft preparation, A. Aboelezz; writing—review and editing, A. Aboelezz and M. Hassanalian; supervision, M. Hassanalian, B. Elhadidi, O. Mohamady. All authors have read and agreed to the published version of the manuscript.
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Aboelezz, A., Mohamady, O., Hassanalian, M. et al. Nonlinear Flight Dynamics and Control of a Fixed-Wing Micro Air Vehicle: Numerical, System Identification and Experimental Investigations. J Intell Robot Syst 101, 64 (2021). https://doi.org/10.1007/s10846-021-01352-y
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DOI: https://doi.org/10.1007/s10846-021-01352-y