Tracking Control of Hypersonic Vehicle Considering Input Constraint
Publication: Journal of Aerospace Engineering
Volume 30, Issue 6
Abstract
This paper studies the tracking control problem of hypersonic vehicles under the circumstances of external disturbance, coupling response, and input constraint. First, on the basis of the input-output linearization model of the hypersonic vehicle, an auxiliary error variable is introduced to convert the original model into a second-order system model. Then a back-stepping controller is designed for the situation of external disturbance with a known upper bound. Because a consecutive nonlinear function is introduced in the virtual controller, the closed-loop system has a rapid convergence rate. In order to further solve the external disturbance with an unknown upper bound and input constraint, a robust adaptive back-stepping controller that meets the input constraint is proposed based on the command filter and adaptive theory. Finally, the Lyapunov theory is applied to give strict proofs of the designed controllers. A numerical simulation of the longitudinal dynamics model of the hypersonic vehicle is conducted to further confirm the validity and robustness of the controllers.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors would like to acknowledge the financial support provided by the National Natural Science Foundation of China under Grant 6117403, the State Key Program of the National Natural Science Foundation of China under Grant 61333003, and the Aeronautical Science Foundation of China under Grant 20140177002.
References
Bu, X. W., Wu, X. Y., Tian, M. Y., Huang, J. Q., Zhang, R., and Ma, Z. (2015a). “High-order tracking differentiator based adaptive neural control of a flexible air-breathing hypersonic vehicle subject to actuators constraints.” ISA Trans., 58, 237–247.
Bu, X. W., Wu, X. Y., Zhang, R., Ma, Z., and Huang, J. Q. (2015b). “Tracking differentiator design for the robust back-stepping control of a flexible air-breathing hypersonic vehicle.” J. Franklin Inst., 352(4), 1739–1765.
Buschek, H., and Calise, A. (1997). “Uncertainty modeling and fixed-order controller design for a hypersonic vehicle model.” J. Guidance Control Dyn., 20(1), 42–48.
Cai, G. B., Duan, G. R., and Hu, C. H. (2011). “A velocity-based LPV modeling and control framework for an air-breathing hypersonic vehicle.” Int. J. Innovative Comput. Inf. Control, 7(5), 2269–2281.
Chavez, F. R., and Schmidt, D. K. (1994). “Analytical aeropropulsive-aeroelastic hypersonic-vehicle model with dynamic analysis.” J. Guidance Control Dyn., 17(6), 1308–1319.
Chen, M., Ren, B. B., Wu, Q. X., and Jiang, C. S. (2015). “Anti-disturbance control of hypersonic flight vehicles with input saturation using disturbance observer.” Sci. China Inf. Sci., 58(7), 1–12.
Da Costa, R. R., Chu, Q. P., and Mulder, J. A. (2003). “Reentry flight controller design using nonlinear dynamic inversion.” J. Spacecraft Rockets, 40(1), 64–71.
Dydek, Z. T., Annaswamy, A. M., and Lavretsky, E. (2010). “Adaptive control and the NASA X-15-3 flight revisited.” IEEE Control Syst., 30(3), 32–48.
Han, J. Q. (2008). Active disturbance rejection control technique—The technique for estimating and compensating the uncertainties, National Defense Industry Press, Beijing.
Hong, Y. G., Xu, Y. S., and Huang, J. (2002). “Finite-time control for robot manipulators.” Syst. Control Lett., 46(4), 243–253.
Hu, X. X., Wu, L., Hu, C. H., and Hao, H. J. (2012). “Adaptive sliding mode tracking control for a flexible air-breathing hypersonic vehicle.” J. Franklin Inst., 349(2), 559–577.
Johnson, M. D., Calise, A. J., and Johnson, E. N. (2004). “Further evaluation of an adaptive method for launch vehicle flight control.” Proc., AIAA Guidance, Navigation, and Control Conf., AIAA, Reston, VA, 1354–1370.
Lee, T., and Kim, Y. (2001). “Nonlinear adaptive flight control using back-stepping and neural networks controller.” J. Guidance Control Dyn., 24(4), 675–682.
Lian, B. H., Bang, H., and Hurtado, J. E. (2004). “Adaptive back-stepping control based autopilot design for reentry vehicle.” Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibition, AIAA, Reston, VA, 1210.
Liu, Z., Tan, X., Yuan, R., Fan, G., and Yi, J. (2014). “Adaptive trajectory tracking control system design for hypersonic vehicles with parametric uncertainty.” Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng., 229(1), 119–134.
Man, Z. H., and Yu, X. H. (1996). “Terminal sliding mode control of MIMO linear systems.” Proc., 35th IEEE Conf. on Decision and Control, IEEE, Kobe, Japan, 4619–4624.
Mu, C. M., Sun, C. Y., and Xu, W. (2015). “Fast sliding mode control on air-breathing hypersonic vehicles with transient response analysis.” Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng., 230(1), 23–34.
Parker, J. T., Serrani, A., and Yurkovich, S. (2007). “Control-oriented modeling of an air-breathing hypersonic vehicle.” J. Guidance Control Dyn., 30(3), 856–869.
Poulain, F., Piet-Lahanier, H., and Serre, L. (2010). “Nonlinear control of an airbreathing hypersonic vehicle: A back-stepping approach.” Autom. Control Aerosp., in press.
Pukdeboon, C., and Siricharuanun, P. (2014). “Nonsingular terminal sliding mode based finite-time control for spacecraft attitude tracking.” Int. J. Control Autom. Syst., 12(3), 530–540.
Qin, W. W., He, B., Liu, G., and Zhao, P. T. (2016). “Robust model predictive tracking control of hypersonic vehicles in the presence of actuator constraints and input delays.” J. Franklin Inst., 353(17), 4351–4367.
Sigthorsson, D., Jankovsky, P., and Serrani, A. (2008). “Robust linear output feedback control of an airbreathing hypersonic vehicle.” J. Guidance Control Dyn., 31(4), 1052–1066.
Sun, C. Y., Mu, C. X., and Yao, Y. (2013a). “Some control problems for near space hypersonic vehicles.” Acta Autom. Sin., 39(11), 1901–1913.
Sun, H. B., Li, S. H., and Sun, C. Y. (2013b). “Finite time integral sliding mode control of hypersonic vehicles.” Nonlinear Dyn., 73(1–2), 229–244.
Wang, Q., and Robert, F. S. (2000). “Robust nonlinear control of a hypersonic aircraft.” J. Guidance Control Dyn., 23(4), 577–585.
Watts, A. C. (2005). “Control of a high performance maneuvering reentry vehicle using dynamic inversion.” AIAA Guidance, Navigation, and Control Conf. and Exhibition, AIAA, San Francisco, 1–16.
Wei, C., Luo, J., Dai, H., Yin, Z., Ma, W., and Yuan, J. (2016). “Globally robust explicit model predictive control of constrained systems exploiting SVM-based approximation.” Int. J. Robust Nonlinear Control, in press.
Xu, B., and Shi, Z. K. (2015). “An overview on flight dynamics and control approaches for hypersonic vehicles.” Sci. China Inf. Sci., 58(7), 1–19.
Xu, B., Sun, F., Liu, H., and Ren, J. (2012). “Adaptive Kriging controller design for hypersonic flight vehicle via back-stepping.” IET Control Theory Appl., 6(4), 487–497.
Xu, H., Mirmirani, M. D., and Ioannou, P. A. (2004). “Adaptive sliding mode control design for a hypersonic flight vehicle.” J. Guidance Control Dyn., 27(5), 829–838.
Zhou, D., and Xu, B. (2016). “Adaptive dynamic surface guidance law with input saturation constraint and autopilot dynamics.” J. Guidance Control Dyn., 39(5), 1155–1162.
Zhu, G. Q., and Liu, J. K. (2015). “Neural network-based adaptive back-stepping control for hypersonic flight vehicles with prescribed tracking performance.” Math. Prob. Eng, 1–10.
Zong, Q., Wang, F., and Tian, B. (2014a). “Robust adaptive approximate back-stepping control of a flexible air-breathing hypersonic vehicle with input constraint and uncertainty.” Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng., 228(7), 521–539.
Zong, Q., Wang, F., and Tian, B. (2014b). “Robust adaptive dynamic surface control design for a flexible air-breathing hypersonic vehicle with input constraints and uncertainty.” Nonlinear Dyn., 78(1), 289–315.
Zong, Q., Wang, F., and Tian, B. (2015). “Robust adaptive approximate back-stepping control design for a flexible air-breathing hypersonic vehicle.” J. Aerosp. Eng., 04014107.
Zong, Q., Wang, J., and Tao, Y. (2013). “Adaptive high-order dynamic sliding mode control for a flexible air-breathing hypersonic vehicle.” Int. J. Robust Nonlinear Control, 23(15), 1718–1736.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 30 • Issue 6 • November 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Dec 9, 2016
Accepted: Apr 6, 2017
Published online: Aug 28, 2017
Published in print: Nov 1, 2017
Discussion open until: Jan 28, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.