Skip to main content
SpringerLink
Log in

Composite fuzzy control of a class of uncertain nonlinear systems with disturbance observer

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

In this paper, a novel composite control, using fuzzy logic system (FLS) and disturbance observer, is proposed for a class of uncertain nonlinear systems with actuator saturation and external disturbances. FLS is employed to approximate the unknown nonlinearities and a serial–parallel identification model is introduced to construct the composite updating law. The disturbance observer is developed to estimate the unknown compounded disturbance composed of the unknown external disturbance, the unknown fuzzy approximation error and the effect of actuator saturation. The uniformly ultimate boundedness of the closed-loop tracking error can be guaranteed rigorously via Lyapunov stability analysis. Simulation results are presented to demonstrate the effectiveness of the proposed method.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Bayramoglu, H., Komurcugil, H.: Time-varying sliding-coefficient-based terminal sliding mode control methods for a class of fourth-order nonlinear systems. Nonlinear Dyn. 73(3), 1645–1657 (2013)

    Article  MathSciNet  Google Scholar 

  2. Bum Yong Park, S.W.Y., Park, P.: \(H_2\) state-feedback control for lpv systems with input saturation and matched disturbance. Nonlinear Dyn. 67(2), 1083–1096 (2012)

    Article  MATH  Google Scholar 

  3. Chen, B., Lee, C., Chang, Y.: \(H^{\infty }\) tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach. IEEE Trans. Fuzzy Syst. 4(1), 32–43 (1996)

    Article  Google Scholar 

  4. Chen, M., Chen, W.: Sliding mode control for a class of uncertain nonlinear system based on disturbance observer. Int. J. Adapt. Control Signal Process. 24(1), 51–64 (2010)

    MATH  Google Scholar 

  5. Chen, M., Ge, 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)

    Article  Google Scholar 

  6. Chen, M., Ge, S.S.: Direct adaptive neural control for a class of uncertain nonaffine nonlinear systems based on disturbance observer. IEEE Trans. Cybern. 43(4), 1213–1225 (2013)

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  8. Farrell, J., Sharma, M., Polycarpou, M.: Backstepping-based flight control with adaptive function approximation. J. Guid. Control Dyn. 28(6), 1089–1102 (2005)

    Article  Google Scholar 

  9. Hamzaoui, A., Essounbouli, N., Benmahammed, K., Zaytoon, J.: State observer based robust adaptive fuzzy controller for nonlinear uncertain and perturbed systems. IEEE Trans. Syst. Man. Cybern. Part B Cybern. 34(2), 942–950 (2004)

    Article  Google Scholar 

  10. Hojati, M., Gazor, S.: Hybrid adaptive fuzzy identification and control of nonlinear systems. IEEE Trans. Fuzzy Syst. 10(2), 198–210 (2002)

    Article  Google Scholar 

  11. Kim, E.: A discrete-time fuzzy disturbance observer and its application to control. IEEE Trans. Fuzzy Syst. 11, 399–410 (2003)

    Article  Google Scholar 

  12. Kung, C., Chen, T.: Observer-based indirect adaptive fuzzy sliding mode control with state variable filters for unknown nonlinear dynamical systems. Fuzzy Sets Syst. 155(2), 292–308 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  13. Li, Y., Tong, S.: Adaptive fuzzy output-feedback control of pure-feedback uncertain nonlinear systems with unknown dead-zone. IEEE Trans. Fuzzy Syst. doi:10.1109/TFUZZ.2013.2280146

  14. 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 

  15. Liu, Y.J., Zheng, Y.Q.: Adaptive robust fuzzy control for a class of uncertain chaotic systems. Nonlinear Dyn. 57(3), 431–439 (2009)

  16. Pan, Y., Er, M.J., Sun, T.: Composite adaptive fuzzy control for synchronization of generalized lorenz systems. Chaos 22(2), 1–10 (2012)

  17. Pan, Y., Zhou, Y., Sun, T., Joo Er, M.: Composite adaptive fuzzy \(H^{\infty }\) tracking control of uncertain nonlinear systems. Neurocomputing 99, 15–24 (2013)

  18. Phan, P.A., Gale, T.: Two-mode adaptive fuzzy control with approximation error estimator. IEEE Trans. Fuzzy Syst. 15(5), 943–955 (2007)

  19. Tong, S., He, X., Zhang, H.: A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control. IEEE Trans. Fuzzy Syst. 17(5), 1059–1069 (2009)

    Article  Google Scholar 

  20. Tong, S.C., Li, Q., Chai, T.: Fuzzy adaptive control for a class of nonlinear systems. Fuzzy Sets Syst. 101(1), 31–39 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  21. Wang, L.: Design and analysis of fuzzy identifiers of nonlinear dynamic systems. IEEE Trans. Autom. Control 40(1), 11–23 (1995)

    Article  MATH  Google Scholar 

  22. Xu, B., Huang, X., Wang, D., Sun, F.: Dynamic surface control of constrained hypersonic flight models with parameter estimation and actuator compensation. Asian J. Control 16(1), 162–174 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  23. Xu, B., Shi, Z., Yang, C., Sun, F.: Composite neural dynamic surface control of a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans. Cybern. 14(12), 2626–2634 (2014)

    Article  Google Scholar 

  24. Xu, B., Shi, Z., Yang, C., Wang, S.: Neural control of hypersonic flight vehicle model via time-scale decomposition with throttle setting constraint. Nonlinear Dyn. 73(3), 1849–1861 (2013)

  25. Xu, B., Yang, C., Shi, Z.: Reinforcement learning output feedback nn control using deterministic learning technique. IEEE Trans. Neural Netw. Learn. Syst. 25(3), 635–641 (2014)

    Article  Google Scholar 

  26. Yang, J., Li, S., Sun, C., Guo, L.: Nonlinear-disturbance-observer-based robust flight control for airbreathing hypersonic vehicles. IEEE Trans. Aerosp. Electron. Syst. 49(2), 1263–1275 (2013)

    Article  Google Scholar 

  27. Yorgancioglu, F., Komurcugil, H.: Single-input fuzzy-like moving sliding surface approach to the sliding mode control. Electr. Eng. 90(3), 199–207 (2008)

    Article  Google Scholar 

  28. Yorgancioglu, F., Komurcugil, H.: Decoupled sliding-mode controller based on time-varying sliding surfaces for fourth-order systems. Expert Syst. Appl. 37, 6764–6774 (2010)

    Article  Google Scholar 

  29. Yang, C., Zhai, L., Ge, S.S., Chai, T., Lee, T.H.: Adaptive model reference control of a class of MIMO discrete-time systems with compensation of nonparametric uncertainty, American Control Conference, 4111–4116 (2008)

  30. Li, Z., Yang, C., Ding, N., Bogdan, S., Ge, T.: Robust adaptive motion control for underwater remotely operated vehicles with velocity constraints, Int. J. Control Autom. Syst. 10 (2), 421–429 (2012)

Download references

Acknowledgments

This work was supported by the National Science Foundation of China (Grants Nos.: 61304098, 61134004, 61473120), Natural Science Basic Research Plan in Shaanxi Province (Grant No.: 2014JQ8326) and State Key Laboratory of Robotics and System (HIT) grant SKLRS-2014-MS-05.

Author information

Authors and Affiliations

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

    Bin Xu & Zhongke Shi

  2. National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi’an, China

    Bin Xu

  3. School of Computing and Mathematics, Plymouth University, Plymouth, UK

    Chenguang Yang

  4. College of Automation Science and Engineering, South China University of Technology, Guangzhou, China

    Chenguang Yang

Authors
  1. Bin Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhongke Shi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chenguang Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bin Xu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xu, B., Shi, Z. & Yang, C. Composite fuzzy control of a class of uncertain nonlinear systems with disturbance observer. Nonlinear Dyn 80, 341–351 (2015). https://doi.org/10.1007/s11071-014-1872-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-014-1872-5

Keywords

Search

Navigation