Three-Dimensional Composite Approach Angle Constrained Guidance Law with Actuator Lag Consideration
Publication: Journal of Aerospace Engineering
Volume 37, Issue 2
Abstract
This paper considers the problem of unmanned aerial vehicle (UAV) aerial collision net recovery in a three-dimensional non-decoupling environment and approach angle constraint. A robust control-observer framework-based guidance law was designed via the nonsingular fast terminal sliding mode control (NFTSMC) technique and adaptive sliding mode disturbance observer (ASMDO). To estimate the disturbance of the guidance system in finite time, an ASMDO is presented in which the parameters are autonomously adjustable according to the estimation error. The proposed control implementation uses the nonsingular fast terminal sliding mode (NFTSM) technique to drive the line-of-sight (LOS) angle error and LOS angular rate fast convergence under model coupling and external disturbance. Furthermore, regarding the actuator of UAV with second-order dynamic, a backstepping guidance law to compensate for actuator dynamics is proposed with the aid of a finite-time converged differentiator, which can estimate directly the derivative of the virtual control law and guarantee the finite-time convergent characteristic of the partially integrated guidance and control system. Simulation studies and comparisons verified the efficiency of the proposed guidance law in the presence of a complex disturbance lump.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by the Natural Science Foundation of China (Grant No. 52272358).
References
Bhat, S. P., and D. S. Bernstein. 2000. “Finite-time stability of continuous autonomous systems.” SIAM J. Control Optim. 38 (3): 751–766. https://doi.org/10.1137/S0363012997321358.
Chen, W.-H., J. Yang, L. Guo, and S. Li. 2015. “Disturbance-observer-based control and related methods—An overview.” IEEE Trans. Ind. Electron. 63 (2): 1083–1095. https://doi.org/10.1109/TIE.2015.2478397.
Chen, X., and J. Wang. 2019. “Sliding-mode guidance for simultaneous control of impact time and angle.” J. Guid. Control Dyn. 42 (2): 394–401. https://doi.org/10.2514/1.G003893.
Ding, S., and W. X. Zheng. 2016. “Nonsingular terminal sliding mode control of nonlinear second-order systems with input saturation.” Int. J. Robust Nonlinear Control 26 (9): 1857–1872. https://doi.org/10.1002/rnc.3381.
Edwards, C., and Y. B. Shtessel. 2016. “Adaptive continuous higher order sliding mode control.” Automatica 65 (Mar): 183–190. https://doi.org/10.1016/j.automatica.2015.11.038.
Feng, Y., X. Yu, and Z. Man. 2002. “Non-singular terminal sliding mode control of rigid manipulators.” Automatica 38 (12): 2159–2167. https://doi.org/10.1016/S0005-1098(02)00147-4.
He, S., and D. Lin. 2015. “Continuous composite finite-time convergent guidance laws with autopilot dynamics compensation.” ISA Trans. 58 (Sep): 270–278. https://doi.org/10.1016/j.isatra.2015.07.004.
Hou, Z., L. Liu, Y. Wang, J. Huang, and H. Fan. 2016. “Terminal impact angle constraint guidance with dual sliding surfaces and model-free target acceleration estimator.” IEEE Trans. Control Syst. Technol. 25 (1): 85–100. https://doi.org/10.1109/TCST.2016.2547984.
Huang, X., et al. 2021. “The Tianwen-1 guidance, navigation, and control for Mars entry, descent, and landing.” Space Sci. Technol. 2021 (Oct): 9846185. https://doi.org/10.34133/2021/9846185.
Ji, Y., D. Lin, W. Wang, S. Hu, and P. Pei. 2019. “Three-dimensional terminal angle constrained robust guidance law with autopilot lag consideration.” Aerosp. Sci. Technol. 86 (Mar): 160–176. https://doi.org/10.1016/j.ast.2019.01.016.
Kamal, S., J. A. Moreno, A. Chalanga, B. Bandyopadhyay, and L. M. Fridman. 2016. “Continuous terminal sliding-mode controller.” Automatica 69 (Jul): 308–314. https://doi.org/10.1016/j.automatica.2016.02.001.
Kim, M., and K. V. Grider. 1973. “Terminal guidance for impact attitude angle constrained flight trajectories.” IEEE Trans. Aerosp. Electron. Syst. AES-9 (6): 852–859. https://doi.org/10.1109/TAES.1973.309659.
Kumar, S. R., S. Rao, and D. Ghose. 2012. “Sliding-mode guidance and control for all-aspect interceptors with terminal angle constraints.” J. Guid. Control Dyn. 35 (4): 1230–1246. https://doi.org/10.2514/1.55242.
Kumar, S. R., S. Rao, and D. Ghose. 2014. “Nonsingular terminal sliding mode guidance with impact angle constraints.” J. Guid. Control Dyn. 37 (4): 1114–1130. https://doi.org/10.2514/1.62737.
Labbadi, M., and M. Cherkaoui. 2019. “Robust adaptive backstepping fast terminal sliding mode controller for uncertain quadrotor UAV.” Aerosp. Sci. Technol. 93 (Oct): 105306. https://doi.org/10.1016/j.ast.2019.105306.
Li, C., J. Wang, S. He, and C.-H. Lee. 2020. “Collision-geometry-based generalized optimal impact angle guidance for various missile and target motions.” Aerosp. Sci. Technol. 106 (Nov): 106204. https://doi.org/10.1016/j.ast.2020.106204.
Li, H., J. Wang, S. He, and C.-H. Lee. 2021. “Nonlinear optimal impact-angle-constrained guidance with large initial heading error.” J. Guid. Control Dyn. 44 (9): 1663–1676. https://doi.org/10.2514/1.G005868.
Lin, D., Y. Ji, W. Wang, Y. Wang, H. Wang, and F. Zhang. 2020. “Three-dimensional impact angle-constrained adaptive guidance law considering autopilot lag and input saturation.” Int. J. Robust Nonlinear Control 30 (9): 3653–3671. https://doi.org/10.1002/rnc.4955.
Man, Z., A. P. Paplinski, and H. R. Wu. 1994. “A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators.” IEEE Trans. Autom. Control 39 (12): 2464–2469. https://doi.org/10.1109/9.362847.
Nesline, F. W., and P. Zarchan. 1981. “A new look at classical vs modern homing missile guidance.” J. Guid. Control 4 (1): 78–85. https://doi.org/10.2514/3.56054.
Park, K.-B., and T. Tsuji. 1999. “Terminal sliding mode control of second-order nonlinear uncertain systems.” Int. J. Robust Nonlinear Control 9 (11): 769–780. https://doi.org/10.1002/(SICI)1099-1239(199909)9:11%3C769::AID-RNC435%3E3.0.CO;2-M.
Paul, P., and L. Paul. 2022. “An overview on the parachute recovery systems with additive manufacturing for UAV safe landing.” Mater. Today:. Proc. 72 (Jan): 3158–3162. https://doi.org/10.1016/j.matpr.2022.10.229.
Rabiee, H., M. Ataei, and M. Ekramian. 2019. “Continuous nonsingular terminal sliding mode control based on adaptive sliding mode disturbance observer for uncertain nonlinear systems.” Automatica 109 (Nov): 108515. https://doi.org/10.1016/j.automatica.2019.108515.
Song, S.-H., and I.-J. Ha. 1994. “A Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws.” IEEE Trans. Aerosp. Electron. Syst. 30 (1): 238–248. https://doi.org/10.1109/7.250424.
Sun, L., W. Wang, R. Yi, and S. Xiong. 2016. “A novel guidance law using fast terminal sliding mode control with impact angle constraints.” ISA Trans. 64 (Sep): 12–23. https://doi.org/10.1016/j.isatra.2016.05.004.
Sun, S., D. Zhou, and W.-T. Hou. 2013. “A guidance law with finite time convergence accounting for autopilot lag.” Aerosp. Sci. Technol. 25 (1): 132–137. https://doi.org/10.1016/j.ast.2011.12.016.
Swaroop, D., J. C. Gerdes, P. P. Yip, and J. K. Hedrick. 1997. “Dynamic surface control of nonlinear systems.” In Vol. 5 of Proc., 1997 American Control Conf. (Cat. No. 97CH36041), 3028–3034. New York: IEEE.
Swaroop, D., J. K. Hedrick, P. P. Yip, and J. C. Gerdes. 2000. “Dynamic surface control for a class of nonlinear systems.” IEEE Trans. Autom. Control 45 (10): 1893–1899. https://doi.org/10.1109/TAC.2000.880994.
Trivedi, P., B. Bandyopadhyay, S. Mahata, and S. Chaudhuri. 2015. “Roll stabilization: a higher-order sliding-mode approach.” IEEE Trans. Aerosp. Electron. Syst. 51 (3): 2489–2496. https://doi.org/10.1109/TAES.2015.140057.
von Ellenrieder, K. D. 2019. “Dynamic surface control of trajectory tracking marine vehicles with actuator magnitude and rate limits.” Automatica 105 (Jul): 433–442. https://doi.org/10.1016/j.automatica.2019.04.018.
Wang, N., Z. Zhu, H. Qin, Z. Deng, and Y. Sun. 2021a. “Finite-time extended state observer-based exact tracking control of an unmanned surface vehicle.” Int. J. Robust Nonlinear Control 31 (5): 1704–1719. https://doi.org/10.1002/rnc.5369.
Wang, X., H. Lu, X. Huang, and Z. Zuo. 2021b. “Three-dimensional terminal angle constraint finite-time dual-layer guidance law with autopilot dynamics.” Aerosp. Sci. Technol. 116 (Sep): 106818. https://doi.org/10.1016/j.ast.2021.106818.
Wang, Y., W. Wang, H. Lei, J. Liu, B. Chen, and Y. Zhao. 2023. “Observer-based robust impact angle control three-dimensional guidance laws with autopilot lag.” Aerosp. Sci. Technol. 141 (Oct): 108505. https://doi.org/10.1016/j.ast.2023.108505.
Wu, H., Z. Wang, Z. Zhou, J. Jia, and R. Wang. 2019. “Modeling of small UAV parachute recovery system based on Lagrangian method.” In Proc., 2019 IEEE Int. Conf. on Mechatronics and Automation (ICMA), 1127–1132. New York: IEEE.
Wu, J., H. Wang, S. He, and D. Lin. 2020. “Composite finite-time convergent guidance law for maneuvering targets with second-order autopilot lag.” Asian J. Control 22 (1): 556–569. https://doi.org/10.1002/asjc.1922.
Yu, C., B. Zhu, and Z. Zuo. 2021. “Three-dimensional optimal guidance with Lyapunov redesign for UAV interception.” Guid., Navig., Control 1 (4): 2140004. https://doi.org/10.1142/S2737480721400045.
Yu, S., X. Yu, B. Shirinzadeh, and Z. Man. 2005. “Continuous finite-time control for robotic manipulators with terminal sliding mode.” Automatica 41 (11): 1957–1964. https://doi.org/10.1016/j.automatica.2005.07.001.
Yu, X., and Z. Man. 2002. “Fast terminal sliding-mode control design for nonlinear dynamical systems” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49 (2): 261–264. https://doi.org/10.1109/81.983876.
Zhang, H., J. Li, Z. Wang, and Y. Guan. 2021. “Guidance navigation and control for Chang’E-5 powered descent.” Space Sci. Technol. 2021 (Jul): 9823609. https://doi.org/10.34133/2021/9823609.
Zhang, T.-P., and S. S. Ge. 2008. “Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form.” Automatica 44 (7): 1895–1903. https://doi.org/10.1016/j.automatica.2007.11.025.
Zhang, X., F. Dong, and P. Zhang. 2022. “A new three-dimensional fixed time sliding mode guidance with terminal angle constraints.” Aerosp. Sci. Technol. 121 (Feb): 107370. https://doi.org/10.1016/j.ast.2022.107370.
Zhou, D., S. Sun, and K. L. Teo. 2009. “Guidance laws with finite time convergence.” J. Guid. Control Dyn. 32 (6): 1838–1846. https://doi.org/10.2514/1.42976.
Zhou, D., and B. Xu. 2016. “Adaptive dynamic surface guidance law with input saturation constraint and autopilot dynamics.” J. Guid. Control Dyn. 39 (5): 1155–1162. https://doi.org/10.2514/1.G001236.
Zhu, J., L. Liu, G. Tang, and W. Bao. 2014. “Three-dimensional nonlinear coupling guidance for hypersonic vehicle in dive phase.” Sci. China Technol. Sci. 57 (9): 1824–1833. https://doi.org/10.1007/s11431-014-5615-0.
Zuo, Z., and L. Tie. 2016. “Distributed robust finite-time nonlinear consensus protocols for multi-agent systems.” Int. J. Syst. Sci. 47 (6): 1366–1375. https://doi.org/10.1080/00207721.2014.925608.
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Published In
Journal of Aerospace Engineering
Volume 37 • Issue 2 • March 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Dec 14, 2022
Accepted: Sep 18, 2023
Published online: Nov 30, 2023
Published in print: Mar 1, 2024
Discussion open until: Apr 30, 2024
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