Skip to main content
SpringerLink
Log in

Prescribed performance fuzzy back-stepping control of a flexible air-breathing hypersonic vehicle subject to input constraints

  • Published:
Journal of Intelligent Manufacturing Aims and scope Submit manuscript

Abstract

The design of prescribed performance fuzzy back-stepping tracking control for a flexible air-breathing hypersonic vehicle (FAHV) with actuator constraints is discussed. Fuzzy logic systems (FLSs) are applied to approximate the lumped uncertainty of each subsystem of the FAHV model. Every FLS contains only one adaptive parameter that needs to be updated online with a minimal-learning-parameter scheme. The sliding mode differentiator is introduced to obtain the derivatives of the virtual control laws, which avoid the explosion of the differentiation term in traditional back-stepping control. To further improve the control performance, a prescribed performance function characterizing the error convergence rate, maximum overshoot and steady-state error is utilized for the output error transformation. In particular, novel auxiliary systems are explored to handle input saturation. Fuzzy backstep control has obvious advantages in system robustness, control accuracy and highly real-time. Finally, reference trajectory tracking simulations show the effectiveness of the proposed method regarding air-breathing hypersonic vehicle control applications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Babuška, R., Damen, M. R., Hellinga, C., et al. (2003). Intelligent adaptive control of bioreactors. Journal of Intelligent Manufacturing, 14(2), 255–265.

    Article  Google Scholar 

  • Bechlioulis, C. P., Doulgeri, Z., & Rovithakis, G. A. (2010). Neuro-adaptive force/position control with prescribed performance and guaranteed contact maintenance. IEEE Transactions on Neural Networks, 21(12), 1857–1868.

    Article  Google Scholar 

  • Bechlioulis, C. P., & Rovithakis, G. A. (2008). Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance. IEEE Transactions on Automatic Control, 53(9), 2090–2099.

    Article  Google Scholar 

  • Bechlioulis, C. P., & Rovithakis, G. A. (2009). Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems. Automatica, 45(2), 532–538.

    Article  Google Scholar 

  • Bu, X. W. (2018). Guaranteeing prescribed output tracking performance for air-breathing hypersonic vehicles via non-affine back-stepping control design. Nonlinear Dynamics, 91(1), 525–538.

    Article  Google Scholar 

  • Bu, X. W., Wu, X., Ma, Z., & Zhang, R. (2015). Nonsingular direct neural control of air-breathing hypersonic vehicle via back-stepping. Neurocomputing, 153(5), 164–173.

    Article  Google Scholar 

  • Burlacu, A., Copot, C., & Lazar, C. (2014). Predictive control architecture for real-time image moments based servoing of robot manipulators. Journal of Intelligent Manufacturing, 25(5), 1125–1134.

    Article  Google Scholar 

  • Chen, M., Ge, S. S., & How, B. (2010). Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Transactions on Neural Networks, 21(5), 796–812.

    Article  Google Scholar 

  • Chen, B., Liu, X. P., Liu, K. F., et al. (2009). Direct adaptive fuzzy control of nonlinear strict-feedback systems. Automatica, 45(6), 1530–1535.

    Article  Google Scholar 

  • Faa-Jeng, L., Shih-Gang, C., & Che-Wei, H. (2018). Intelligent backstepping control using recurrent feature selection fuzzy neural network for synchronous reluctance motor position servo drive system. IEEE Transactions on Fuzzy Systems, 27, 1–1.

    Google Scholar 

  • Gruhn, P., & Gülhan, A. (2018). Aerodynamic measurements of an air-breathing hypersonic vehicle at mach 3.5 to 8. AIAA Journal, 56, 1–15.

    Article  Google Scholar 

  • Hu, X., Wu, L., Hu, C., et al. (2012). Fuzzy guaranteed cost tracking control for a flexible air-breathing hypersonic vehicle. IET Control Theory and Applications, 6(9), 1238–1249.

    Article  Google Scholar 

  • Huang, Y. B., Na, J., Wu, X., et al. (2015). Adaptive control of nonlinear uncertain active suspension systems with prescribed performance. ISA Transactions, 54, 145–155.

    Article  Google Scholar 

  • Jennifer, G., John, V. (2001). Selection of longitudinal desired dynamic for dynamic; inversion controlled reentry vehicles. In Proceedings of the AIAA guidance, navigation, and control conference (pp. 2001–4382).

  • Kostarigka, A. K., Doulgeri, Z., & Rovithakis, G. A. (2013). Prescribed performance tracking for flexible joint robots with unknown dynamics and variable elasticity. Automatica, 49, 1137–1147.

    Article  Google Scholar 

  • Kuipers, M., Ioannou, P. (2008). Robust adaptive multiple model controller design for an air-breathing hypersonic vehicle model. In Proceedings of the AIAA guidance, navigation and control conference (pp. 2008–7142).

  • Lee, H. P., Reiman, S. E., Dillon, C. H. (2001). Robust nonlinear dynamic inversion control for a hypersonic cruise vehicle. In Proceedings of the AIAA guidance, navigation and control conference (pp. 2007–6685).

  • Li, Y. M., Tong, S. C., & Li, T. S. (2014). Adaptive fuzzy output-feedback control for output constrained nonlinear systems in the presence of input saturation. Fuzzy Sets and Systems, 248(3), 138–155.

    Article  Google Scholar 

  • Lv, M., Yu ,W., Baldi, S. (2019). The set-invariance paradigm in fuzzy adaptive DSC design of large-scale nonlinear input-constrained systems. IEEE Transactions on Man Cybernetics Systems (99), 1–11.

  • Morani, G., Nebula, F., Corraro, F., & Ariola, M. (2019). Dynamic control allocation through Kalman filtering. American Journal of Engineering and Applied Sciences, 12(1), 46–56.

    Article  Google Scholar 

  • Museros, L., Falomir, Z., & Velasco, F. (2012). 2D qualitative shape matching applied to ceramic mosaic assembly. Journal of Intelligent Manufacturing, 23(5), 1973–1983.

    Article  Google Scholar 

  • Nekoukar, V., & Erfanian, A. (2011). Adaptive fuzzy terminal sliding mode control for a class of MIMO uncertain nonlinear systems. Fuzzy Sets and Systems, 179(1), 34–49.

    Article  Google Scholar 

  • Plestan, F., Shtessel, Y., & Bregeault, V. (2010). New methodologies for adaptive sliding mode control. International Journal of Control, 83(9), 1907–1919.

    Article  Google Scholar 

  • Ravi Teja, A. V., Chakraborty, C., & Pal, B. C. (2018). Disturbance rejection analysis and FPGA based implementation of a second order sliding mode controller fed induction motor drive. IEEE Trans Energy Convert, 33, 1–1.

    Article  Google Scholar 

  • Sachan, K., Padhi, R. (2018). State-constrained robust adaptive cruise control design for air-breathing hypersonic vehicles. In 2018 AIAA guidance, navigation, and control conference.

  • Sikander, A., & Prasad, R. (2019). Reduced order modelling based control of two wheeled mobile robot. Journal of Intelligent Manufacturing, 30(3), 1057–1067.

    Article  Google Scholar 

  • Sun, Y., & Zhu, Y. (2017). Bang–bang property for an uncertain saddle point problem. Journal of Intelligent Manufacturing, 28, 605–613.

    Article  Google Scholar 

  • Ting, E., & Ayoubi, M. A. (2014). Optimized fuzzy-proportional/integral/derivative controller for aircraft pitch control. Journal of Aerospace Information Systems, 10(8), 414–430.

    Article  Google Scholar 

  • Wang, H. Q., Chen, B., Liu, X. P., et al. (2013). Robust adaptive fuzzy tracking control for pure-feedback stochastic nonlinear systems with input constraints. IEEE Transactions on Cybernetics, 43(5), 2093–2104.

    Article  Google Scholar 

  • Wang, P. F., Wang, J., Bu, X. W., et al. (2016a). Adaptive fuzzy tracking control for a constrained flexible air-breathing hypersonic vehicle based on actuator compensation. International Journal of Advanced Robotic Systems, 11, 1–12.

    Google Scholar 

  • Wang, P. F., Wang, J., Bu, X. W., et al. (2016b). Adaptive fuzzy back-stepping control of a flexible air-breathing hypersonic vehicle subject to input constraints. Journal of Intelligent Robotic Systems, 11, 1–18.

    Google Scholar 

  • Wang, P. F., Wang, J., Luo, C., et al. (2015). Adaptive neural back-stepping control with constrains for a flexible air-breathing hypersonic vehicle. Mathematical Problems in Engineering, 11, 1–14.

    Google Scholar 

  • Wang, J., Zong, Q., Su, R., et al. (2014). Continuous high order sliding mode controller design for a flexible air-breathing hypersonic vehicle. ISA Transactions, 53(3), 690–698.

    Article  Google Scholar 

  • Xu, B., Wang, S., Gao, D., et al. (2014). Command filter based robust nonlinear control of hypersonic aircraft with magnitude constraints on states and actuators. Journal of Intelligent Robotic Systems, 73(4), 233–247.

    Article  Google Scholar 

  • Zhao, J., & Zhou, R. (2013). Reentry trajectory optimization for hypersonic vehicle satisfying complex constraints. Chinese Journal of Aeronautics, 26(6), 1544–1553.

    Article  Google Scholar 

  • Zong, Q., Wang, F., Tian, B., & Su, R. (2014). Robust adaptive dynamic surface control design for a flexible air-breathing hypersonic vehicle with input constraints and uncertainty. Nonlinear Dynamics, 78(14), 289–315.

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to thank the editor and all the anonymous reviewers for their comments, which help to improve the quality of this article. This work was supported by the National Natural Science Foundation of China (No. 61601505).

Author information

Authors and Affiliations

  1. Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an, 710072, China

    Hanqiao Huang

  2. Troops of 78092, Chengdu, 610000, China

    Chang Luo

  3. Aeronautics Engineering College, Air Force Engineering University, Xi’an, 710038, China

    Bo Han

Authors
  1. Hanqiao Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chang Luo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bo Han
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chang Luo.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, H., Luo, C. & Han, B. Prescribed performance fuzzy back-stepping control of a flexible air-breathing hypersonic vehicle subject to input constraints. J Intell Manuf 33, 853–866 (2022). https://doi.org/10.1007/s10845-020-01656-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10845-020-01656-0

Keywords

Search

Navigation