Abstract
The design of an adaptive fuzzy back-stepping tracking control for flexible air-breathing hypersonic vehicle (FAHV) with actuator constraints is discussed. Fuzzy logic systems (FLSs) are applied to approximate the total uncertainty of FAHV model. The minimal-learning-parameter (MLP) algorithms are applied for FLSs to reduce the quantity of calculation. For the sake of preventing explosion of differentiation term in back-stepping control, the derivatives of virtual control laws can be calculated by sliding mode differentiators. Particularly, the novel auxiliary systems are explored to cope with the inputs saturation. Finally, reference trajectory tracking simulation shows the auxiliary systems have better performances than the existing algorithms when the inputs are saturated.
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Zhao, J., Zhou, R.: Reentry trajectory optimization for hypersonic vehicle satisfying complex constraints. China J. Aeronaut. 26(6), 1544–1553 (2013)
Bu, X.W., Wu, X.Y., Zhang, R., et al.: Tracking differentiator design for the robust backstepping control of a flexible air-breathing hypersonic vehicle. J. Franklin Inst. 352(4), 1739–1765 (2015)
Zong, Q., Ji, Y.H, Zeng, F.L., Liu, H.L.: Output feedback back-stepping control for a generic Hypersonic Vehicle via small-gain theorem. Aerosp. Sci. Technol. 23(11), 409–417 (2012)
Zong, Q., Wang, F., Tian, B.L., et al.: Robust adaptive dynamic surface control design for a flexible air-breathing hypersonic vehicle with input constraints and uncertainty. Nonlinear Dyn. 78(13), 289–315 (2014)
Wang, J., Zong, Q., Su, R., et al.: Continuous high order sliding mode controller design for a flexible air-breathing hypersonic vehicle. ISA Trans. 53(3), 690–698 (2014)
Xu, B., Fan, Y.H., Zhang, S.M.: Minimal-learning-parameter technique based adaptive neural control of hypersonic flight dynamics without back-stepping. Neurocomputing. 164, 201–209 (2015)
Fiorentini, L., Serrani, A.: Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles. J. Guid. Control Dyn. 32(2), 401–420 (2009)
Plestan, F., Shtessel, Y., Bregeault, V.: New methodologies for adaptive sliding mode control. Int. J. Control. 83(9), 1907–1919 (2010)
Zong, Q., Tian, B.L.: Quasi-Continuous high-order sliding mode controller and observer design for hypersonic vehicle. In: International Space Planes and Hypersonic Systems and Technologies Conference, no. 2011–2354 (2011)
Wang, J., Zong, Q., Tian, B.L.: Flight control for hypersonic vehicle based on quasi-continuous high-order sliding mode. In: Chinese Control Conference, no. 2011- 522 (2011)
Xu, B., Wang, S.X., Gao, D.X., et al.: Command filter based robust nonlinear control of hypersonic aircraft with magnitude constraints on states and actuators. J. Intell. Robot. Syst. 73, 233–247 (2014)
Gao, Z.F., Lin, J.X., Cao, T.: Robust fault tolerant tracking control design for a linearized hypersonic vehicle with sensor fault. Int. J. Control Autom. Syst. 13(3), 672–679 (2015)
Zong, Q., Wang, F., Tian, B.L.: Robust adaptive approximate backstepping control of a flexible air-breathing hypersonic vehicle with input constraint and uncertainty. J. Syst. Control Eng. 228(7), 521–539 (2014)
Zong, Q., Wang, F., Su, R.: Robust adaptive backstepping tracking control for a flexible air-breathing hypersonic vehicle subject to input constraint. J. Aerosp. Eng. 229(7), 10–25 (2015)
Gao, D.X., Wang, S.X., Zhang, H.: A singularly perturbed system approach to adaptive neural back-stepping control design of hypersonic vehicles. J. Intell. Robot Syst. 73(9), 249–259 (2014)
Wang, H., Wang, D., Peng, Z.: Neural network based adaptive dynamic surface control for cooperative path following of marine surface vehicles via state and output feedback. Neurocomputing 133 (18), 170–178 (2014)
Xu, B., Huang, X., Wang, D., et al.: Dynamic surface control of constrained hypersonic flight models with parameter estimation and actuator compensation. Asian J. Control 16(1), 162–174 (2014)
Li, H.B., Sun, Z.Q., Min, H.B.: Fuzzy dynamic characteristic modeling and adaptive control of nonlinear systems and its application to hypersonic vehicles. Sci. China Inf. Sci. 54(3), 460–468 (2011)
Guo, C., Liang, X.G., Wang, J.W.: Mixed H2/H ∞ decentralized fuzzy tracking control design for a flexible air-breathing hypersonic vehicle. J. Syst. Control Eng. 229(5), 388–405 (2013)
Wang, H.Q., Chen, B., Liu, X.P., et al.: Robust adaptive fuzzy tracking control for pure-feedback stochastic nonlinear systems with input constraints. IEEE Trans. Cybern. 43(5), 2093–2104 (2013)
Chen, M., Ge, S.S., How, B.: Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Trans. Neural Netw. 21(5), 796–812 (2010)
Wang, H.Q., Chen, B., Liu, X.P., et al.: Robust adaptive fuzzy tracking control for pure-feedback stochastic nonlinear systems with input constraints. IEEE Trans. Cybern. 43(5), 2093–2104 (2013)
Li, Y.M., Tong, S.C., Li, T.S.: Adaptive fuzzy output-feedback control for output constrained nonlinear systems in the presence of input saturation. Fuzzy Sets Syst. 248(3), 138–155 (2014)
Zinnecker, A., Serrani, A., Bolender, M.A., et al.: Combined reference governor and anti-windup design for constrained hypersonic vehicles models. In: Proceedings of the AIAA guidance, navigation, and control conference, no. 2009-6283 (2009)
Parker, J.T., Serrani, A., Yurkonich, S., et al.: Control-oriented modeling of an air-breathing hypersonic vehicle. J. Guid. Control Dyn. 33(3), 856–869 (2007)
Chen, B., Liu, X., Liu, K., et al.: Direct adaptive fuzzy control of nonlinear strict-feedback systems. Automatica. 45(6), 1530–1535 (2009)
Levant, A.: Higher order sliding mode, differentiation and output feedback control. Int. J. Control. 76(9), 924–941 (2003)
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This work is supported by the Aeronautical Science Foundation of China (Grant no. 20120916006).
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Wang, P., Wang, J., Bu, X. et al. Adaptive Fuzzy Back-stepping Control of a Flexible Air-breathing Hypersonic Vehicle Subject to Input Constraints. J Intell Robot Syst 87, 565–582 (2017). https://doi.org/10.1007/s10846-016-0438-9
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DOI: https://doi.org/10.1007/s10846-016-0438-9
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