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Direct neural discrete control of hypersonic flight vehicle

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Abstract

This paper investigates the discrete neural control for flight path angle and velocity of a generic hypersonic flight vehicle (HFV). First, strict-feedback form is set up for the attitude subsystem considering flight path angle, pitch angle, and pitch rate by altitude-flight path angle transformation. Secondly, the direct Neural Network (NN) control is proposed for attitude subsystem via back-stepping scheme. The direct design is employed for system uncertainty approximation with less online tuned NN parameters and there is no need to know the information of the upper bound of control gain during the controller design. Thirdly, with error feedback and NN design, the semiglobal uniform ultimate boundedness (SGUUB) stability is guaranteed of the closed-loop system. Similar NN control is applied on velocity subsystem. Finally, the feasibility of the proposed controller is verified by a simulation example.

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References

  1. Ataei, A., Wang, Q.: Non-linear control of an uncertain hypersonic aircraft model using robust sum-of-squares method. IET Control Theory Appl. 6(2), 203–215 (2012)

    Article  MathSciNet  Google Scholar 

  2. Butt, W., Yan, L., Kendrick, A.: Adaptive dynamic surface control of a hypersonic flight vehicle with improved tracking. Asian J. Control 16(2), 1–12 (2014)

    Google Scholar 

  3. Chen, M., Ge, S., Ren, B.: Robust attitude control of helicopters with actuator dynamics using neural networks. IET Control Theory Appl. 4(12), 2837–2854 (2010)

    Article  MathSciNet  Google Scholar 

  4. Chen, M., Ge, S., Ren, B.B.: Adaptive tracking control of uncertain mimo nonlinear systems with input constraints. Automatica 47(3), 452–465 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  5. Chen, M., Jiang, C., Wu, Q.: Disturbance-observer-based robust flight control for hypersonic vehicles using neural networks. Adv. Sci. Lett. 4(5), 1771–1775 (2011)

    Article  Google Scholar 

  6. Dydek, Z., Annaswamy, A., Lavretsky, E.: Adaptive control and the NASA x-15-3 flight revisited. IEEE Control Syst. Mag. 30(3), 32–48 (2010)

    Article  MathSciNet  Google Scholar 

  7. Fiorentini, L., Serrani, A., Bolender, M., Doman, D.: Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles. J. Guid. Control Dyn. 32(2), 401–416 (2009)

    Article  Google Scholar 

  8. Gao, D., Sun, Z.: Fuzzy tracking control design for hypersonic vehicles via ts model. Sci. China Ser. F 54(3), 521–528 (2011)

    MathSciNet  MATH  Google Scholar 

  9. Gao, D., Sun, Z., Du, T.: Dynamic surface control for hypersonic aircraft using fuzzy logic system. In: IEEE International Conference on Automation and Logistics, Jinan, China, pp. 2314–2319 (2007)

    Chapter  Google Scholar 

  10. Gao, D., Sun, Z., Du, T.: Discrete-time controller design for hypersonic vehicle via back-stepping. Control Decis. 24(3), 459–463 (2009)

    MathSciNet  MATH  Google Scholar 

  11. Ge, S., Hang, C., Lee, T.: Stable Adaptive Neural Network Control. Springer, Amsterdam (2002)

    MATH  Google Scholar 

  12. Gibson, T., Crespo, L., Annaswamy, A.: Adaptive control of hypersonic vehicles in the presence of modeling uncertainties. In: American Control Conference, St. Louis, MO, USA, pp. 3178–3183 (2009)

    Chapter  Google Scholar 

  13. Hu, X., Gao, H., Karimi, H., Wu, L., Hu, C.: Fuzzy reliable tracking control for flexible air-breathing hypersonic vehicles. Int. J. Fuzzy Syst. 13(4), 1–12 (2011)

    MathSciNet  Google Scholar 

  14. Hu, Y., Sun, F., Liu, H.: Neural network-based robust control for hypersonic flight vehicle with uncertainty modelling. Int. J. Model. Identif. Control 11(1), 87–98 (2010)

    Article  Google Scholar 

  15. Jiang, B., Gao, Z., Shi, P., Xu, Y.: Adaptive fault-tolerant tracking control of near-space vehicle using Takagi–Sugeno fuzzy models. IEEE Trans. Fuzzy Syst. 18(5), 1000–1007 (2010)

    Article  Google Scholar 

  16. Kokotovic, P.: The joy of feedback: nonlinear and adaptive: 1991 bode prize lecture. IEEE Control Syst. Mag. 12, 7–17 (1991)

    Google Scholar 

  17. Liu, Y., Chen, C., Wen, G., Tong, S.: Adaptive neural output feedback tracking control for a class of uncertain discrete-time nonlinear systems. IEEE Trans. Neural Netw. 22(7), 1162–1167 (2011)

    Article  Google Scholar 

  18. Liu, Y., Wen, G., Tong, S.: Direct adaptive NN control for a class of discrete-time nonlinear strict-feedback systems. Neurocomputing 73(13–15), 2498–2505 (2010)

    Article  Google Scholar 

  19. Park, J., Kim, S., Moon, C.: Adaptive neural control for strict-feedback nonlinear systems without backstepping. IEEE Trans. Neural Netw. 20(7), 1204–1209 (2009)

    Article  MathSciNet  Google Scholar 

  20. Parker, J., Serranit, A., Yurkovich, S., Bolender, M., Doman, D.: Control-oriented modeling of an air-breathing hypersonic vehicle. J. Guid. Control Dyn. 30(3), 856–869 (2007)

    Article  Google Scholar 

  21. Wang, Q., Stengel, R.: Robust nonlinear control of a hypersonic aircraft. J. Guid. Control Dyn. 23(4), 577–585 (2000)

    Article  Google Scholar 

  22. Wen, G., Liu, Y., Tong, S., Li, X.: Adaptive neural output feedback control of nonlinear discrete-time systems. Nonlinear Dyn. 65(1–2), 65–75 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  23. Xu, B., Gao, D., Wang, S.: Adaptive neural control based on HGO for hypersonic flight vehicles. Sci. China Ser. F 54(3), 511–520 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  24. Xu, B., Sun, F., Liu, H., Ren, J.: Adaptive Kriging controller design for hypersonic flight vehicle via back-stepping. IET Control Theory Appl. 6(4), 487–497 (2012)

    Article  MathSciNet  Google Scholar 

  25. Xu, B., Sun, F., Yang, C., Gao, D., Ren, J.: Adaptive discrete-time controller design with neural network for hypersonic flight vehicle via back-stepping. Int. J. Control 84(9), 1543–1552 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  26. Xu, H., Mirmirani, M., Ioannou, P.: Adaptive sliding mode control design for a hypersonic flight vehicle. J. Guid. Control Dyn. 27(5), 829–838 (2004)

    Article  Google Scholar 

  27. Yang, C., Ge, S., Xiang, C., Chai, T., Lee, T.: Output feedback NN control for two classes of discrete-time systems with unknown control directions in a unified approach. IEEE Trans. Neural Netw. 19(11), 1873–1886 (2008)

    Article  Google Scholar 

  28. Zhu, Q., Zhang, T., Fei, S., Zhang, K., Li, T.: Adaptive neural control for a class of output feedback time delay nonlinear systems. Neurocomputing 72(7–9), 1985–1992 (2009)

    Article  Google Scholar 

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Acknowledgements

This work was supported by the National Science Foundation of China (Grants No: 61134004) and DSO National Laboratories of Singapore through a Strategic Project Grant (Project No. DSOCL10004).

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Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Bin Xu & Danwei Wang

  2. Department of Computer Science and Technology, Tsinghua University, Beijing, China

    Bin Xu & Fuchun Sun

  3. School of Automation, Northwestern Polytechnical University, Xi’an, China

    Bin Xu & Zhongke Shi

Authors
  1. Bin Xu
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  2. Danwei Wang
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  3. Fuchun Sun
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  4. Zhongke Shi
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Correspondence to Bin Xu.

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Xu, B., Wang, D., Sun, F. et al. Direct neural discrete control of hypersonic flight vehicle. Nonlinear Dyn 70, 269–278 (2012). https://doi.org/10.1007/s11071-012-0451-x

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