Skip to main content
SpringerLink
Log in

Fuzzy Adaptive Backstepping Decentralized Control for Switched Nonlinear Large-Scale Systems with Switching Jumps

  • Published:
International Journal of Fuzzy Systems Aims and scope Submit manuscript

Abstract

In this paper, the problem of fuzzy adaptive state-feedback control is investigated for a class of switched uncertain nonlinear large-scale systems. The considered uncertain nonlinear large-scale systems contain nonlinear uncertainties, switching jumps, and switching signals. Fuzzy logic systems are employed to approximate the unknown nonlinear uncertainties, and based on the adaptive backstepping method and the dwell-time property of the switching signal, an adaptive fuzzy state-feedback decentralized control scheme is developed. It is proved that the proposed adaptive fuzzy decentralized control scheme can guarantee that all the variables in the closed-loop system are bounded. Moreover, the tracking errors are ensured to converge to a small neighborhood of the origin. A numerical example is provided to illustrate the effectiveness of the proposed approach.

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

Similar content being viewed by others

References

  1. Wang, W.J., Luoch, L.: Stability and stabilization of fuzzy large-scale systems. IEEE Trans. Fuzzy Syst. 12(3), 309–315 (2004)

    Article  Google Scholar 

  2. Wang, L.X.: Adaptive Fuzzy Systems and Control. Prentice Hall, Englewood Cliffs (1994)

    Google Scholar 

  3. Narendra, K.S., Parthasarathy, K.: Identification and control of dynamical systems using neural networks. IEEE Trans. Neural Netw. 1(1), 4–27 (1990)

    Article  Google Scholar 

  4. Zhang, H.G., Cai, L.L.: Decentralized adaptive fuzzy nonlinear control of HVAC systems. IEEE Trans. Syst. Man Cybern. Part C 32(4), 493–498 (2002)

    Article  Google Scholar 

  5. Spooner, J.T., Passino, K.M.: Decentralized adaptive control of nonlinear systems using radial basis neural networks. IEEE Trans. Autom. Control 44(11), 2050–2057 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  6. Hua, C.C., Guan, X.P., Shi, P.: Adaptive fuzzy control for uncertain interconnected time-delay systems. Fuzzy Sets Syst. 153(3), 447–458 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Huang, S.N., Tan, K.K., Lee, T.H.: Decentralized control of a class of large-scale nonlinear systems using neural networks. Automatica 41(9), 1645–1649 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  8. Tong, S.C., Li, H.X., Chen, G.R.: Adaptive fuzzy decentralized control for a class of large-scale nonlinear systems. IEEE Trans. Syst. Man Cybern. Part B 34(1), 770–774 (2004)

    Article  Google Scholar 

  9. Huang, Y.S., Wu, M.: Robust decentralized direct adaptive output feedback fuzzy control for a class of large-scale non-affine nonlinear systems. Inf. Sci. 181(1), 2392–2404 (2011)

    Article  MATH  Google Scholar 

  10. Kristic, M., Kanellakopoulos, I., Kokotovic, P.V.: Nonlinear and Adaptive Control Design. Wiley, New York (1995)

    Google Scholar 

  11. Jain, S., Khorrami, F.: Decentralized adaptive output feedback design for large-scale nonlinear systems. IEEE Trans. Autom. Control 42(5), 729–735 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  12. Chen, W.S., Li, J.M.: Globally decentralized adaptive backstepping neural network tracking output control for unknown nonlinear interconnectioned systems. Asian J. Control 12(1), 96–102 (2010)

    MathSciNet  Google Scholar 

  13. Yoo, S.J., Park, J.B.: Neural-network-based decentralized adaptive control for a class of large-scale nonlinear systems with unknown time-varying delays. IEEE Trans. Syst. Man Cybern. Part B 39(5), 1316–1323 (2009)

    Article  Google Scholar 

  14. Tong, S.C., Huo, B.Y., Li, Y.M.: Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures. IEEE Trans. Fuzzy Syst. 22(1), 1–15 (2014)

    Article  Google Scholar 

  15. Li, Y.M., Tong, S.C., Li, T.S.: Adaptive fuzzy decentralized control for nonlinear time-delay large-scale systems based on DSC technique and high-gain filters. Int. J. Fuzzy Syst. 15(3), 347–358 (2013)

    MathSciNet  Google Scholar 

  16. Hua, C.C., Guan, X.P.: Output feedback stabilization for time-delay nonlinear interconnected systems using neural networks. IEEE Trans. Neural Netw. 19(4), 673–688 (2008)

    Article  MathSciNet  Google Scholar 

  17. Mehraeen, S., Jagannathan, S., Crow, M.L.: Decentralized dynamic surface control of large-scale interconnected systems in strict-feedback form using neural networks with asymptotic stabilization. IEEE Trans. Neural Netw. 22(11), 1709–1722 (2011)

    Article  Google Scholar 

  18. Zhou, Q., Shi, P., Liu, H.H., Xu, S.Y.: Neural-network-based decentralized adaptive output-feedback control for large-scale stochastic nonlinear systems. IEEE Trans. Syst. Man Cybern. Part B 42(6), 1608–1619 (2012)

    Article  Google Scholar 

  19. Tong, S.C., Liu, C.L., Li, Y.M.: Fuzzy adaptive decentralized control for large-scale nonlinear systems with dynamical uncertainties. IEEE Trans. Fuzzy Syst. 18(5), 845–861 (2010)

    Article  Google Scholar 

  20. Wu, J.L.: Stabilizing controllers design for switched nonlinear systems in strict-feedback form. Automatica 45(4), 1092–1096 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  21. Ma, R.C., Zhao, J.: Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings. Automatica 46(11), 1819–1823 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  22. Long, L.J., Zhao, J.: control of switched nonlinear systems in -normal form using multiple Lyapunov functions. IEEE Trans. Autom. Control 57(5), 1280–1285 (2012)

    Article  MathSciNet  Google Scholar 

  23. Long, F., Fei, S.M., Fu, Z.M., Zheng, S.Y.: Adaptive neural network control for switched system with unknown nonlinear part by using backstepping approach: SISO case, Advances in Neural Networks-ISNN 2006, pp. 842–848. Springer, Berlin Heidelberg (2006)

  24. Li, Y.M., Tong, S.C., Li T.S.: Adaptive fuzzy backstepping control design for a class of pure-feedback switched nonlinear systems. Nonlinear Anal.: Hybrid Syst. doi:10.1016/j.nahs.2014.11.002

  25. Han, T.T., Ge, S.S., Lee, T.H.: Adaptive neural control for a class of switched nonlinear systems. Syst. Control Lett. 58(2), 109–118 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  26. Hsueh, Y.C., Su, S.F.: Learning error feedback design of direct adaptive fuzzy control system. IEEE Trans. Fuzzy Syst. 20(3), 536–545 (2012)

    Article  MathSciNet  Google Scholar 

  27. Hsueh, Y.C., Su, S.F., Tao, C.W.: Robust-gain compensative control for direct-adaptive Fuzzy-control-system design. IEEE Trans. Fuzzy Syst. 18(4), 661–673 (2010)

    Article  Google Scholar 

  28. Hsueh, Y.C., Su, S.F.: Fuzzy sliding controller design with adaptive approximate error feedback. Int. J. Fuzzy Syst. 11(1), 36–43 (2009)

    MathSciNet  Google Scholar 

  29. Yu, J.J.: Adaptive fuzzy stabilization for a class of pure-feedback systems with unknown dead-zones. Int. J. Fuzzy Syst. 15(3), 289–296 (2013)

    MathSciNet  Google Scholar 

  30. Leu, Y.G.: Backstepping nonlinear control using nonlinear parametric fuzzy systems. Int. J. Fuzzy Syst. 11(4), 225–231 (2009)

    MathSciNet  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos. 61374113, 61203008).

Author information

Authors and Affiliations

  1. Department of Basic Mathematics, Liaoning University of Technology, 169 Shiying Street, Guta District, Jinzhou, 121001, Liaoning, People’s Republic of China

    Yongming Li & Shaocheng Tong

Authors
  1. Yongming Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shaocheng Tong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yongming Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, Y., Tong, S. Fuzzy Adaptive Backstepping Decentralized Control for Switched Nonlinear Large-Scale Systems with Switching Jumps. Int. J. Fuzzy Syst. 17, 12–21 (2015). https://doi.org/10.1007/s40815-015-0011-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40815-015-0011-x

Keywords

Search

Navigation