Skip to main content
SpringerLink
Log in

Adaptive fuzzy output feedback control of uncertain nonlinear systems with nonsymmetric dead-zone input

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

Abstract

In this paper, we present an adaptive control scheme for a class of uncertain nonlinear system with unknown nonsymmetric dead-zone nonlinearity. It is assumed that the system states are unmeasurable. Therefore, an observer is designed to estimate those unmeasured states. The controller is designed by using the backstepping control design procedure. The proposed adaptive scheme requires only the information that the dead-zone slopes are bounded. The new control scheme ensures bounded-error trajectory tracking and the boundedness of all the signals in the closed-loop. The feasibility is investigated by an illustrative simulation example.

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

Similar content being viewed by others

References

  1. Zhou, J., Wen, C., Zhang, Y.: Adaptive output control of nonlinear systems with uncertain dead zone nonlinearity. IEEE Trans. Autom. Control 51(3), 504–511 (2006)

    Article  MathSciNet  Google Scholar 

  2. Zhou, J.: Decentralized adaptive control for large-scale time-delay systems with dead-zone input. Automatica 44, 1790–1799 (2008)

    Article  MATH  Google Scholar 

  3. Ibrir, S., Xie, W.F., Su, C.Y.: Adaptive tracking of nonlinear systems with non-symmetric dead-zone input. Automatica 43(3), 522–530 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  4. Wang, X.S., Hong, H., Su, C.Y.: Model reference adaptive control of continuous-time systems with an unknown input dead-zone. IEEE Proc. Control Theory Appl. 150(3), 261–266 (2003)

    Article  Google Scholar 

  5. Wang, X.S., Su, C.Y., Hong, H.: Robust adaptive control of a class of nonlinear systems with unknown dead-zone. Automatica 40, 407–413 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  6. Zhang, H.G., Cai, L.L., Bien, Z.: A fuzzy basis function vector-based multivariable adaptive fuzzy controller for nonlinear systems. IEEE Trans. Syst. Man Cybern. Part B 30(1), 210–217 (2000)

    Article  Google Scholar 

  7. Zhang, H.G., Bien, Z.: Adaptive fuzzy control of MIMO nonlinear systems. Fuzzy Sets Syst. 115(2), 191–204 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  8. Tong, S.C., Li, H.X.: Fuzzy adaptive sliding-mode control for MIMO nonlinear systems. IEEE Trans. Fuzzy Syst. 11(3), 354–360 (2003)

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  10. Liu, Y.J., Wang, W.: Adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems. Inf. Sci. 177(18), 3901–3917 (2007)

    Article  MATH  Google Scholar 

  11. Tong, S.C., He, X.L., Zhang, H.G.: 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 

  12. Chen, W.S., Jiao, L.C., Li, J., Li, R.H.: Adaptive NN backstepping output-feedback control for stochastic nonlinear strict-feedback systems with time-varying delays. IEEE Trans. Syst. Man Cybern. Part B, Cybern. 40(3), 939–950 (2010)

    Article  Google Scholar 

  13. Liu, Y.J., Tong, S.C., Wang, W.: Adaptive fuzzy output tracking control for a class of uncertain nonlinear systems. Fuzzy Sets Syst. 160(19), 2727–2754 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  14. Liu, Y.J., Wang, W., Tong, S.C., Liu, Y.S.: Robust adaptive tracking control for nonlinear systems based on bounds of fuzzy approximation parameters. IEEE Trans. Syst. Man Cybern. Part A, Syst. Hum. 40(1), 170–184 (2010)

    Article  Google Scholar 

  15. Li, T.S., Wang, D., Feng, G., Tong, S.C.: A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems. IEEE Trans. Syst. Man Cybern. Part B, Cybern. 40(3), 915–927 (2010)

    Article  Google Scholar 

  16. Li, T.S., Tong, S.C., Feng, G.: A novel robust adaptive-fuzzy-tracking control for a class of nonlinear multi-input/multi-output systems. IEEE Trans. Fuzzy Syst. 18(1), 150–160 (2010)

    Article  Google Scholar 

  17. Wang, Z.H., Zhang, Y., Fang, H.: Neural adaptive control for a class of nonlinear systems with unknown dead zone. Neur. Comput. Appl. 17, 339–345 (2008)

    Article  Google Scholar 

  18. Selmis, R.R., Lewis, F.L.: Dead-zone compensation in motion control systems using neural networks. IEEE Trans. Autom. Control 45, 602–613 (2000)

    Article  Google Scholar 

  19. Liu, Y.J., Zhou, N.: Observer-based adaptive fuzzy-neural control for a class of uncertain nonlinear systems with unknown dead-zone input. ISA Trans. 49(4), 462–469 (2010)

    Article  Google Scholar 

  20. Huang, Y.S., Zhou, D.Q., Xiao, S.P., Lin, D.: Coordinated decentralised hybrid adaptive output feedback fuzzy control for a class of large-scale non-linear systems with strong interconnections. IET Control Theory Appl. 3(9), 1261–1274 (2009)

    Article  MathSciNet  Google Scholar 

  21. Huang, Y.S., Zhou, D.Q., Chen, X.X.: Decentralized direct adaptive output feedback fuzzy H ∞ tracking design of large-scale nonaffine nonlinear systems. Nonlinear Dyn. 58(1–2), 153–167 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  22. Lin, D., Wang, X.Y.: Observer-based decentralized fuzzy neural sliding mode control for interconnected unknown chaotic systems via network structure adaptation. Fuzzy Sets Syst. 161(15), 2066–2080 (2010)

    Article  MATH  Google Scholar 

  23. Boulkroune, A., Tadjine, M., MSaad, M., Farza, M.: How to design a fuzzy adaptive controller based on observers for uncertain affine nonlinear systems. Fuzzy Sets Syst. 159(8), 926–948 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  24. Li, Z.J., Xu, C.Q.: Adaptive fuzzy logic control of dynamic balance and motion for wheeled inverted pendulums. Fuzzy Sets Syst. 160(12), 1787–1803 (2009)

    Article  MATH  Google Scholar 

  25. Li, Z.J.: Adaptive neural-fuzzy control of uncertain constrained multiple coordinated nonholonomic mobile manipulators. Eng. Appl. Artif. Intell. 21(7), 985–1000 (2008)

    Article  Google Scholar 

  26. Li, Z.J.: Adaptive robust dynamic balance and motion controls of mobile wheeled inverted pendulums. IEEE Trans. Control Syst. Technol. 17(1), 233–241 (2009)

    Article  Google Scholar 

  27. Chen, W.S., Li, J.M.: Decentralized output-feedback neural control for systems with unknown interconnections. IEEE Trans. Syst. Man Cybern. Part B, Cybern. 38(1), 258–266 (2008)

    Article  Google Scholar 

  28. Chen, W.S., Jiao, L.C.: Adaptive tracking for periodically time-varying and nonlinearly parameterized systems using multilayer neural networks. IEEE Trans. Neur. Netw. 21(2), 345–351 (2010)

    Article  Google Scholar 

  29. Wang, Z.S., Zhang, H.G.: Global asymptotic stability of reaction–diffusion Cohen–Grossberg neural networks with continuously distributed delays. IEEE Trans. Neur. Netw. 21(1), 39–49 (2010)

    Article  Google Scholar 

  30. Wang, Z.S., Zhang, H.G., Yu, W.: Robust stability of Cohen–Grossberg neural networks via state transmission matrix. IEEE Trans. Neur. Netw. 20(1), 169–174 (2009)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Sciences, Liaoning University of Technology, Jinzhou, 121001, China

    Ning Zhou, Yan-Jun Liu & Shao-Cheng Tong

Authors
  1. Ning Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yan-Jun Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shao-Cheng Tong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ning Zhou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhou, N., Liu, YJ. & Tong, SC. Adaptive fuzzy output feedback control of uncertain nonlinear systems with nonsymmetric dead-zone input. Nonlinear Dyn 63, 771–778 (2011). https://doi.org/10.1007/s11071-010-9836-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-010-9836-x

Keywords

Search

Navigation