Abstract
Due to the reliance on model knowledge and the lack of compensation mechanism, Nonlinear Dynamic Inversion (NDI) control does not provide the essential robustness in the face of disturbances such as the Center of Gravity (CG) sudden change. To overcome this deficiency, a novel adaptive NDI control approach based on the L1 adaptive structure, called L1 Adaptive Nonlinear Dynamic Inversion (L1-ANDI), is presented, which can guarantee the desired dynamic performance while overcoming the influence of disturbances and uncertainties. In particular, the introduction of a low-pass filter makes the L1-ANDI control realize the decoupling of fast adaptation and robustness. Furthermore, the effect of CG variations on the aircraft is analyzed from the aerodynamic perspective, and the L1-ANDI-based flight controller is designed to eliminate the influence of the CG variations. A series of simulation results demonstrate that the designed flight controller can achieve satisfactory performance and is robust to the disturbance of CG sudden variations.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Code availability
Data sharing is not applicable to this article as no new data were created or analyzed in this study.
References
Smith, P.R., Patel, Y.: Translational motion control of VSTOL aircraft using nonlinear dynamic inversion, in: 20th Atmos. Flight Mech. Conf., 238–252 (1995). https://doi.org/10.2514/6.1995-3452
Lim, S., Kim, B.S.: Aircraft CAS design with input saturation using dynamic model inversion. Int. J. Control. Autom. Syst. 1, 315–320 (2003)
Bin Hsiao, F., Duan, L.L., Lu, W.C.: Evaluation of nonlinear dynamic inversion technique applied to flight-path control. J. Chinese Soc. Mech. Eng. Trans. Chinese Inst. Eng. Ser. C/Chung-Kuo Chi Hsueh K. Ch’eng Hsuebo Pao. 29, 171–177 (2008). https://doi.org/10.29979/JCSME.200804.0009
Snell, S.A., Enns, D.F., Garrard, W.L.: Nonlinear inversion flight control for a supermaneuverable aircraft. J. Guid. Control. Dyn. 15, 976–984 (1992). https://doi.org/10.2514/3.20932
Wu, G., Meng, X., Wang, F.: Improved nonlinear dynamic inversion control for a flexible air-breathing hypersonic vehicle. Aerosp. Sci. Technol. 78, 734–743 (2018). https://doi.org/10.1016/j.ast.2018.04.036
Sieberling, S., Chu, Q.P., Mulder, J.A.: Robust flight control using incremental nonlinear dynamic inversion and angular acceleration prediction. J. Guid. Control. Dyn. 33, 1732–1742 (2010). https://doi.org/10.2514/1.49978
Wang, X., Van Kampen, E., Chu, Q.P., De Breuker, R.: Flexible aircraft gust load alleviation with incremental nonlinear dynamic inversion. J. Guid. Control. Dyn. 42, 1519–1536 (2019). https://doi.org/10.2514/1.G003980
Mehedi, I.M., Shah, M.H.M.: Position Control of rotary flexible joint system using Adaptive dynamic inversion. IEEJ Trans. Electr. Electron. Eng. 17, 96–102 (2022). https://doi.org/10.1002/tee.23491
He, Q., Tan, Y., Liu, X., Jia, Q., Liu, J.: Reconfigurable nonlinear dynamic inversion for attitude Control of a structurally damaged aircraft. IEEE Access. 8, 199931–199943 (2020). https://doi.org/10.1109/ACCESS.2020.3035436
Wang, L., Zhang, Z., Zhu, Q., Wen, Z.: Longitudinal automatic carrier-landing control law rejecting disturbances and coupling based on adaptive dynamic inversion. Bull. Polish Acad. Sci. Tech. Sci. 69 (2021). https://doi.org/10.24425/bpasts.2020.136217
Joshi, G., Padhi, R.: Robust satellite formation flying using Dynamic Inversion with modified state observer. in: Proc. IEEE Int. Conf. Control Appl., 568–573 (2013). https://doi.org/10.1109/CCA.2013.6662810
Cao, C., Hovakimyan, N.: Design and analysis of a novel ℒ1 adaptive controller, part I: Control signal and asymptotic stability, in. Proc. Am. Control Conf., 3397–3402 (2006). https://doi.org/10.1109/acc.2006.1657243
Yu, L., Xiaoxiong, L., Hui, Z., Yueheng, Q.: Design of control law for Carrier-based Aircraft based on Ll adaptive control, in: 2018 IEEE CSAA Guid. Navig. Control Conf. CGNCC. 2018, 2018. https://doi.org/10.1109/GNCC42960.2018.9019179
Xiaoxiong, L., Li, Y., Yuan, M.Q., Jian, S.: Gust alleviation controller for elastic aircraft based on L1 adaptive control, in: Proc. - 2017 Chinese Autom. Congr. CAC. 2017(2017), 5382–5385. https://doi.org/10.1109/CAC.2017.8243737
Zhou, Y., Liu, H., Guo, H., Duan, X.: L1 adaptive dynamic inversion attitude control for unmanned aerial vehicle with actuator failures. Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng. 233, 4129–4140 (2019). https://doi.org/10.1177/0954410018814602
Campbell, S.F., Kaneshige, J.T.: A nonlinear dynamic inversion L1 adaptive controller for a Generic Transport Model. in: Proc. 2010 Am. Control Conf. ACC. 2010, 862–867 (2010). https://doi.org/10.1109/acc.2010.5530704
Zuo, Z., Ru, P.: Augmented script L1 adaptive tracking control of quad-rotor unmanned aircrafts. IEEE Trans. Aerosp. Electron. Syst. 50, 3090–3101 (2014). https://doi.org/10.1109/TAES.2014.120705
Song, H.T., Zhang, T., Zhang, G.L.: L1 adaptive state feedback controller for three-dimensional integrated guidance and control of interceptor. Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng. 228, 1693–1701 (2014). https://doi.org/10.1177/0954410013506332
Chang, J., Zhu, J., Liu, R., Dong, W.: Lateral Control for ultra-low altitude airdrop based on the L1 Adaptive Control augmentation. Int. J. Control. Autom. Syst. 16, 461–477 (2018). https://doi.org/10.1007/s12555-017-0014-5
Luo, J., Cao, C.: Consensus in multi-agent systems with nonlinear uncertainties under a fixed undirected graph. Int. J. Control. Autom. Syst. 12, 231–240 (2014). https://doi.org/10.1007/s12555-013-0220-8
Geiser, M., Xargay, E., Hovakimyan, N., Bierling, T., Holzapfel, F.: L1 adaptive augmented dynamic inversion controller for a high agility UAV. in: AIAA Guid. Navig. Control Conf., 2011 (2011). https://doi.org/10.2514/6.2011-6457
Van Heusden, K., Talebian, K., Dumont, G.A.: Analysis of L 1 adaptive state feedback control. Why does it approximate an implementable LTI controller? Eur. J. Control. 23, 1–7 (2015). https://doi.org/10.1016/j.ejcon.2015.02.003
Maalouf, D., Chemori, A., Creuze, V.: L1 Adaptive depth and pitch control of an underwater vehicle with real-time experiments. Ocean Eng. 98, 66–77 (2015). https://doi.org/10.1016/j.oceaneng.2015.02.002
Lee, H., Snyder, S., Hovakimyan, N.: L1 Adaptive output feedback augmentation for missile systems. IEEE Trans. Aerosp. Electron. Syst. 54, 680–692 (2018). https://doi.org/10.1109/TAES.2017.2764218
Leman, T., Xargay, E., Dullerud, G., Hovakimyan, N., Wendel, T.: ℒ1 adaptive control augmentation system for the X-48B aircraft. AIAA Guid. Navig. Control Conf. Exhib. (2009). https://doi.org/10.2514/6.2009-5619
Hameduddin, I., Bajodah, A.H.: Nonlinear generalised dynamic inversion for aircraft manoeuvring control. Int. J. Control. 85, 437–450 (2012). https://doi.org/10.1080/00207179.2012.656143
Ansari, U., Bajodah, A.H.: Hybrid direct-indirect Adaptive generalized dynamic inversion based attitude Control of autonomous underwater vehicles, in: 2018 IEEE Conf. Control Technol. Appl. CCTA. 2018, 101–106 (2018). https://doi.org/10.1109/CCTA.2018.8511496
Hovakimyan, N., Cao, C.: L1 Adaptive Control Theory: Guaranteed Robustness with Fast Adaptation. [Bookshelf], IEEE Control. Syst. 31(2011), 112–114 (2010). https://doi.org/10.1109/mcs.2011.941837
Praly, L.: Adaptive nonlinear regulation: estimation from the Lyapunov equation. IEEE Trans. Automat. Contr. 37, 729–740 (1992). https://doi.org/10.1109/9.256328
Bacon, B.J., Gregory, I.M.: General equations of motion for a damaged asymmetric aircraft. in: AIAA Atmos. Flight Mech. Conf., 63–75 (2007). https://doi.org/10.2514/6.2007-6306
Hovakimyan, N., Lavretsky, E., Cao, C.: Adaptive dynamic inversion via time-scale separation. IEEE Trans. Neural Netw. 19, 1702–1711 (2008). https://doi.org/10.1109/TNN.2008.2001221
Acknowledgements
The authors would like to express their gratitude to the Shaanxi Province Key Laboratory of Flight Control and Simulation Technology for supporting this research.
Funding
This research work is funded by the National Natural Science Foundation of China (No. 62073266) and the Aeronautical Science Foundation of China (No. 201905053003).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflicts of interest interests
The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Ethics approval
Not applicable.
Consent to participate
Not applicable.
Consent for publication
All the authors agreed to publish this manuscript in the “Journal of Intelligent & Robotic Systems”.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Li, Y., Liu, X., He, Q. et al. L1 Adaptive Structure-Based Nonlinear Dynamic Inversion Control for Aircraft with Center of Gravity Variations. J Intell Robot Syst 106, 4 (2022). https://doi.org/10.1007/s10846-022-01691-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10846-022-01691-4