Prescribed-Time Guidance Law with Approach Angle Constraint and Actuator Faults
Publication: Journal of Aerospace Engineering
Volume 37, Issue 1
Abstract
In this paper, a prescribed-time guidance law with approach angle constraint in the presence of an actuator fault is proposed. Firstly, a sliding mode manifold with prescribed-time convergence is given to ensure that the state of the system converges to the equilibrium point in the specified time. Then, in order to suppress the distrubance, an adaptive gain based on adaptive control is designed. Subsequntly, a augmentation term based on the Lyapunov method is presented to meet the prescribed-time convergence prpoperty when an actuator fault occurs. The prescribed-time convergence of the proposed guidance laws is proven. Numerical simulation results validate the effectiveness of the proposed prescribed-time guidance framework.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This work was supported by the National Natural Science Foundation of China under Grant Nos. 62103016, 61922008, 62103023, and 61973013.
References
Anguiano-Gijón, C., A. Muñoz-Vázquez, J. Sánchez-Torres, G. Romero-Galván, and F. Martínez-Reyes. 2019. “On predefined-time synchronisation of chaotic systems.” Chaos Solitons Fractals 122 (May): 172–178. https://doi.org/10.1016/j.chaos.2019.03.015.
Biswas, B., A. Maity, and S. Kumar. 2020. “Finite-time convergent three-dimensional non-linear intercept angle guidance.” J. Guid. Control Dyn. 43 (1): 146–153. https://doi.org/10.2514/1.G004454.
He, S., and D. Lin. 2015. “Sliding mode based impact angle guidance law considering actuator fault.” Optik 126 (20): 2318–2323. https://doi.org/10.1016/j.ijleo.2015.05.129.
He, S., D. Lin, and J. Wang. 2015a. “Continuous second-order sliding mode based impact angle guidance law.” Aerosp. Sci. Technol. 41 (Feb): 199–208. https://doi.org/10.1016/j.ast.2014.11.020.
He, S., J. Wang, and D. Lin. 2015b. “Composite guidance laws using higher order sliding mode differentiator and disturbance observer.” Proc. Inst. Mech. Eng., Part G: J. Aerosp. Eng. 229 (13): 2397–2415. https://doi.org/10.1177/0954410015576365.
He, S., W. Wang, and D. Lin. 2017. “Adaptive backstepping impact angle guidance law accounting for autopilot lag.” J. Aerosp. Eng. 30 (3): 04016094. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000698.
Hu, Q., T. Han, and M. Xin. 2019. “Three-dimensional guidance for various target motions with terminal angle constraints using twisting control.” IEEE Trans. Ind. Electron. 67 (2): 1242–1253. https://doi.org/10.1109/TIE.2019.2898607.
Kee, P. E., L. Dong, and C. J. Siong. 1998. “Near optimal midcourse guidance law for flight vehicle.” In Proc., 36th AIAA Aerospace Sciences Meeting and Exhibit, 583. Reston, VA: American Institute of Aeronautics and Astronautics.
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.
Li, G., Y. Wu, and P. Xu. 2018a. “Adaptive fault-tolerant cooperative guidance law for simultaneous arrival.” Aerosp. Sci. Technol. 82 (8): 243–251. https://doi.org/10.1016/j.ast.2018.09.014.
Li, G., M. Xin, and C. Miao. 2018b. “Finite-time input-to-state stability guidance law.” J. Guid. Control Dyn. 41 (10): 2199–2213. https://doi.org/10.2514/1.G003519.
Li, G., H. Yan, and H. Ji. 2014. “A guidance law with finite time convergence considering autopilot dynamics and uncertainties.” Int. J. Control Autom. Syst. 12 (5): 1011–1017. https://doi.org/10.1007/s12555-013-0432-y.
Li, G., Z. Yu, and Z. Wang. 2019. “Three-dimensional adaptive sliding mode guidance law for missile with autopilot lag and actuator fault.” Int. J. Control Autom. Syst. 17 (6): 1369–1377. https://doi.org/10.1007/s12555-017-0731-9.
Li, P., Q. Liu, C. He, and X. Liu. 2020. “Fixed-time three-dimensional guidance law with input constraint and actuator faults.” Proc. Inst. Mech. Eng., Part G: J. Aerosp. Eng. 235 (10): 095441002097197. https://doi.org/10.1177/0954410020971973.
Li, X., J. Ma, and J. Gao. 2022. “Adaptive fast fixed-time three-dimensional guidance law with acceleration saturation constraints.” IEEE Access 10 (Mar): 26541–26553. https://doi.org/10.1109/ACCESS.2022.3156063.
Liu, Z., Y. Zhang, C. Yuan, and J. Luo. 2021. “Adaptive path following control of unmanned surface vehicles considering environmental disturbances and system constraints.” IEEE Trans. Syst. Man Cybern.: Syst. 51 (1): 339–353. https://doi.org/10.1109/TSMC.2018.2871672.
Lyu, S., Z. Zhu, S. Tang, and X. Yan. 2016. “Fast nonsingular terminal sliding mode to attenuate the chattering for missile interception with finite time convergence.” IFAC-PapersOnLine 49 (17): 34–39. https://doi.org/10.1016/j.ifacol.2016.09.007.
Ma, F., Y. Wu, S. Wang, X. Yang, and Y. Hua. 2021. “Three-dimensional adaptive fixed-time guidance law against maneuvering targets with impact angle constraints and control input saturation.” Trans. Inst. Meas. Control 44 (8): 1579–1598. https://doi.org/10.1177/01423312211059864.
Muñoz-Vázquez, A., J. Sánchez-Torres, E. Jiménez-Rodríguez, and A. Loukianov. 2019. “Predefined-time robust stabilization of robotic manipulators.” IEEE/ASME Trans. Mechatron. 24 (3): 1033–1040. https://doi.org/10.1109/TMECH.2019.2906289.
Ren, Y., W. Zhou, Z. Li, L. Liu, and Y. Sun. 2021. “Prescribed-time cluster lag consensus control for second-order non-linear leader-following multiagent systems.” ISA Trans. 109 (Mar): 49–60. https://doi.org/10.1016/j.isatra.2020.09.012.
Shima, T. 2011. “Intercept-angle guidance.” J. Guid. Control Dyn. 34 (2): 484–492. https://doi.org/10.2514/1.51026.
Si, Y., and S. Song. 2017. “Three-dimensional adaptive finite time guidance law for intercepting maneuvering targets.” Chin. J. Aeronaut. 30 (6): 1985–2003. https://doi.org/10.1016/j.cja.2017.04.009.
Song, J., and S. Song. 2016. “Three-dimensional guidance law based on adaptive integral sliding mode control.” Chin. J. Aeronaut. 29 (1): 202–214. https://doi.org/10.1016/j.cja.2015.12.012.
Sun, J., S. Song, and G. Wu. 2017. “Fault-tolerant track control of hypersonic vehicle based on fast terminal sliding mode.” J. Spacecraft Rockets 54 (6): 1304–1316. https://doi.org/10.2514/1.A33890.
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.
Wallsgrove, R., and M. Akella. 2005. “Globally stabilizing saturated attitude control in the presence of bounded unknown disturbances.” J. Guid. Control Dyn. 28 (5): 957–963. https://doi.org/10.2514/1.9980.
Wang, C., W. Dong, J. Wang, J. Shan, and M. Xin. 2021. “Guidance law design with fixed-time convergent error dynamics.” J. Guid. Control Dyn. 44 (7): 1389–1398. https://doi.org/10.2514/1.G005833.
Yan, X., and S. Lyu. 2021. “A robust hybrid nonlinear guidance law for intercepting a non-cooperative maneuvering target.” Aeronaut. J. 124 (1273): 429–445. https://doi.org/10.1017/aer.2019.121.
Zhang, G., Y. Cai, and W. Zhang. 2017. “Robust neural control for dynamic positioning ships with the optimum-seeking guidance.” IEEE Trans. Syst. Man Cybern.: Syst. 47 (7): 1500–1509. https://doi.org/10.1109/TSMC.2016.2628859.
Zhang, P., and X. Zhang. 2020. “Fast fixed-time convergent smooth adaptive guidance law with terminal angle constraint for interception of maneuvering targets.” Proc. Inst. Mech. Eng., Part G: J. Aerosp. Eng. 235 (13): 1737–1750. https://doi.org/10.1177/0954410020965094.
Zhang, X., F. Dong, and P. Zhang. 2021. “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.
Zhang, Y., M. Sun, and Z. Chen. 2012. “Finite-time convergent guidance law with impact angle constraint based on sliding-mode control.” Nonlinear Dyn. 70 (1): 619–625. https://doi.org/10.1007/s11071-012-0482-3.
Zhang, Y., S. Tang, and J. Guo. 2018. “An adaptive fast fixed-time guidance law with an impact angle constraint for intercepting maneuvering targets.” Chin. J. Aeronaut. 31 (6): 1327–1344. https://doi.org/10.1016/j.cja.2018.03.017.
Zhou, D., S. Sun, and K. Teo. 2009. “Guidance laws with finite time convergence.” J. Guid. Control Dyn. 32 (6): 1838–1846. https://doi.org/10.2514/1.42976.
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Published In
Journal of Aerospace Engineering
Volume 37 • Issue 1 • January 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jan 11, 2023
Accepted: Sep 7, 2023
Published online: Nov 13, 2023
Published in print: Jan 1, 2024
Discussion open until: Apr 13, 2024
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