Abstract
The transition flight of VTOL (vertical take-off and landing) aircraft is generally energy-consuming. This paper proposes an energy-efficient incremental control allocation method for transition flight control. To minimize energy consumption in the time increment, a secondary objective is incorporated into the total cost function when implementing control allocation. This energy increment is equated to the power increment and is estimated using its sensitivities to all control inputs. The final control allocation problem comes in the form of quadratic programming and is efficiently solved by a warm-start active set algorithm. This energy-efficient allocation is embedded in the INDI controller to control the trajectory of a VTOL model. Its performance is compared to open-loop optimal control results and the performance achieved with the weighted least square (WLS) and the redistributed pseudoinverse (RPI) methods. Results show that the INDI controller with the energy-efficient control allocation effectively reduces energy consumption while maintaining accurate trajectory tracking.
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Boskovic, J., Mehra, R.: Control allocation in overactuated aircraft under position and rate limiting. In: Proceedings Of The 2002 American Control Conference (IEEE Cat. No. CH37301), vol. 1, pp. 791–796 (2002). https://doi.org/10.1109/ACC.2002.1024911
Durham, W., Bolling, J., Bordignon, K.: Minimum drag control allocation. J. Guidance Control Dyn. 20, 190–193 (1997). https://doi.org/10.2514/2.4018
Bodson, M.: Evaluation of optimization methods for control allocation. J. Guidance Control Dyn. 25, 703–711 (2002). https://doi.org/10.2514/2.4937
Johansen, T., Fossen, T.: Control allocation - a survey. Automatica 49, 1087–1103 (2013). https://doi.org/10.1016/j.automatica.2013.01.035
Dyer, E., Sirouspour, S., Jafarinasab, M.: Energy optimal control allocation in a redundantly actuated omnidirectional UAV. In: 2019 International Conference On Robotics And Automation (ICRA), pp. 5316–5322 (2019). https://doi.org/10.1109/ICRA.2019.8793549
Pfeifle, O., Fichter, W.: Energy optimal control allocation for INDI controlled transition aircraft. In: AIAA Scitech 2021 Forum, p. 1457 (2021). https://doi.org/10.2514/6.2021-1457
Di Francesco, G., Mattei, M.: Modeling and incremental nonlinear dynamic inversion control of a novel unmanned tiltrotor. J. Aircraft. 53, 73–86 (2016). https://doi.org/10.2514/1.C033183
Raab, S., Zhang, J., Bhardwaj, P., Holzapfel, F.: Proposal of a unified control strategy for vertical take-off and landing transition aircraft configurations. In: 2018 Applied Aerodynamics Conference, p. 3478 (2018). https://doi.org/10.2514/6.2018-3478
Raab, S., Zhang, J., Bhardwaj, P., Holzapfel, F.: Consideration of control effector dynamics and saturations in an extended INDI approach. In: AIAA Aviation 2019 Forum, p. 3267 (2019). https://doi.org/10.2514/6.2019-3267
Holzapfel, F.: Nichtlineare adaptive Regelung eines unbemannten Fluggerätes. (Technische Universität München (2004). https://doi.org/10.2514/2.4018
Smith, P.A.: Simplified approach to nonlinear dynamic inversion based flight control. In: 23rd Atmospheric Flight Mechanics Conference, p. 4461 (1998). https://doi.org/10.2514/6.1998-4461
Zhang, J., Bhardwaj, P., Raab, S., Saboo, S., Holzapfel, F.: Control allocation framework for a tilt-rotor vertical take-off and landing transition aircraft configuration. In: 2018 Applied Aerodynamics Conference, p. 3480 (2018)
Zhang, J., Bhardwaj, P., Raab, S., Holzapfel, F.: Control allocation framework with SVD-based protection for a tilt-rotor VTOL transition air vehicle. In: AIAA Aviation 2019 Forum, p. 3265 (2019). https://doi.org/10.2514/6.2018-3480
Haichao, H., Grüter, B., Piprek, P., Holzapfel, F.: Smooth free-cycle dynamic soaring in unspecified shear wind via quadratic programming. Chinese J. Aeronaut. 35(7), 19–29 (2021). https://doi.org/10.1016/j.cja.2021.09.012
Hong, H., Piprek, P., Gerdts, M., Holzapfel, F.: Computationally efficient trajectory generation for smooth aircraft flight level changes. J. Guidance Control Dyn. 44, 1532–1540 (2021). https://doi.org/10.2514/1.G005529
Lu, Z., Hong, H., Diepolder, J., Holzapfel, F.: Maneuverability set estimation and trajectory feasibility evaluation for eVTOL aircraft (2022)
Rieck, M., et al.: FALCON.m user guide: version 1.27. Institute of Flight System Dynamics, Technical University of Munich (2022). http://www.falcon-m.com
Harkegard, O.: Efficient active set algorithms for solving constrained least squares problems in aircraft control allocation. In: Proceedings of The 41st IEEE Conference on Decision and Control, vol. 2, pp. 1295–1300 (2002). https://doi.org/10.1109/CDC.2002.1184694
Virnig, J., Bodden, D.: Multivariable control allocation and control law conditioning when control effectors limit. In: Guidance, Navigation, And Control Conference, p. 3609 (1994). https://doi.org/10.2514/6.1994-3609
Lu, Z., Tang, P., Zhang, S.: Incremental nonlinear dynamic inversion based control allocation approach for a BWB UAV. In: 2018 IEEE CSAA Guidance, Navigation And Control Conference (CGNCC), pp. 1–6 (2018). https://doi.org/10.1109/GNCC42960.2018.9019118
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Zhidong Lu, Hangxu Li, and Ruichen He acknowledge the support of the China Scholarship Council.
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Lu, Z., Li, H., He, R., Holzapfel, F. (2023). Energy-Efficient Incremental Control Allocation for Transition Flight via Quadratic Programming. In: Yan, L., Duan, H., Deng, Y. (eds) Advances in Guidance, Navigation and Control. ICGNC 2022. Lecture Notes in Electrical Engineering, vol 845. Springer, Singapore. https://doi.org/10.1007/978-981-19-6613-2_478
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DOI: https://doi.org/10.1007/978-981-19-6613-2_478
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