Skip to main content
Log in

Decentralized adaptive output feedback fuzzy controller for a class of large-scale nonlinear systems

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

Abstract

In the previous work of Huang et al., a coordinated decentralized hybrid adaptive output feedback fuzzy control scheme of large-scale nonlinear systems is obtained predicated upon this prerequisite assumption that the local controllers can share the a priori information about their individual reference models. In this note, we concentrate in the absence of the coordination assumption on developing a classical decentralized combined indirect and direct adaptive fuzzy controller for a class of uncertain large-scale nonlinear systems. The output feedback and adaptation mechanisms proposed for each subsystem hinges just upon its individual output, regardless of any other output reference. Neither the famous strictly positive real (SPR) condition nor a high-gain observer (HGO) is required to realize the overall output feedback algorithm. The tracking errors of the closed-loop large-scale system are shown to converge to tunable neighborhoods of the origin. Simulation results on correlated inverted pendulums verify the validity of the decentralized controller modification.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Chang, Y.C.: Adaptive fuzzy-based tracking control for nonlinear SISO systems via VSS and H approaches. IEEE Trans. Fuzzy Syst. 19(2), 278–292 (2001)

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  4. Shahnazi, R., Akbarzadeh-T., M. R.: PI adaptive fuzzy control with large and fast disturbance rejection for a class of uncertain nonlinear systems. IEEE Trans. Fuzzy Syst. 16(1), 187–196 (2008)

    Article  Google Scholar 

  5. Salehi, S., Shahrokhi, M.: Adaptive fuzzy backstepping approach for temperature control of continuous stirred tank reactors. Fuzzy Sets Syst. 160, 1804–1818 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  6. Tong, S.C., Li, Y.: Fuzzy adaptive backstepping robust control for SISO nonlinear system with dynamic uncertainties. Inf. Sci. 179, 1319–1332 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  7. Chen, B., Liu, X.P., Liu, K., Lin, C.: Direct adaptive fuzzy control of nonlinear strict-feedback systems. Automatica 45, 1530–1535 (2009)

    Article  MATH  Google Scholar 

  8. Chen, B., Tong, S.C., Liu, X.P.: Fuzzy approximate disturbance decoupling of MIMO nonlinear systems by backstepping approach. Fuzzy Sets Syst. 158, 1097–1125 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  9. Ge, S.S., Han, T.T.: Semiglobal ISPS disturbance attenuation with output tracking via direct adaptive design. IEEE Trans. Neural Netw. 18(4), 1129–1147 (2007)

    Article  Google Scholar 

  10. Labiod, S., Guerra, T.M.: Adaptive fuzzy control of a class of SISO nonaffine nonlinear systems. Fuzzy Sets Syst. 158(10), 1126–1137 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  11. Park, J.H., Huh, S.H., Kim, S.H., Seo, S.J., Park, G.T.: Direct adaptive controller for nonlinear systems using self- structuring neural networks. IEEE Trans. Neural Netw. 16(2), 414–422 (2005)

    Article  Google Scholar 

  12. Phan, P.A., Gale, T.J.: Direct adaptive fuzzy control with a self-structuring algorithm. Fuzzy Sets Syst. 159, 871–899 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  13. Leu, Y.G., Lee, T.T., Wang, W.Y.: Observer-based adaptive fuzzy-neural control for unknown nonlinear dynamical systems. IEEE Trans. Syst. Man Cybern. B 29(5), 583–590 (1999)

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  15. Tong, S.C., Li, Y.: Observer-based fuzzy adaptive control for strict-feedback nonlinear systems. Fuzzy Sets Syst. 160, 1749–1764 (2009)

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  17. Leu, Y.G., Wang, W.Y., Lee, T.T.: Observer-based direct adaptive fuzzy-neural control for nonaffine nonlinear systems. IEEE Trans. Neural Netw. 16(4), 583–861 (2005)

    Article  Google Scholar 

  18. Liu, Y.J., Tong, S.C., Wang, W., Li, Y.M.: Observer-based direct adaptive fuzzy control of uncertain nonlinear systems and its applications. Int. J. Control Autom. 7(4), 681–690 (2009)

    Article  Google Scholar 

  19. Wang, W.Y., Cheng, C.Y., Leu, Y.G.: An online GA based output-feedback direct fuzzy–neural controller for uncertain nonlinear systems. IEEE Trans. Syst. Man Cybern. B 34(1), 334–345 (2004)

    Article  Google Scholar 

  20. Wang, C.H., Liu, H.L., Lin, T.C.: Direct adaptive fuzzy control with state observer and supervisory controller for unknown nonlinear dynamical systems. IEEE Trans. Fuzzy Syst. 10(1), 39–49 (2002)

    Article  Google Scholar 

  21. Khalil, H.K.: Adaptive output feedback control of nonlinear systems represented by input–output models. IEEE Trans. Autom. Control 41(2), 177–178 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  22. Mahmoud, N.A., Khalil, H.K.: Asymptotic regulation of minimum phase nonlinear systems using output feedback. IEEE Trans. Autom. Control 41(10), 1402–1412 (2006)

    Article  MathSciNet  Google Scholar 

  23. Wang, L.X.: A Course in Fuzzy Systems and Control. Prentice Hall, Englewood Cliffs, New Jersey (1997)

    MATH  Google Scholar 

  24. Meng, J.E., Chin, S.H.: Hybrid adaptive fuzzy controllers of robot manipulators with bounds estimation. IEEE Trans. Ind. Electron. 47(5), 1151–1160 (2000)

    Article  Google Scholar 

  25. Peng, Z.F., Wang, W., Liu, Y.J.: A combined adaptive fuzzy control method with the function continuous supervisory control. In: Proceedings of the 25th Chinese Control Conference, Harbin, Heilongjiang pp. 1194–1199. (2006)

    Google Scholar 

  26. Wang, C.H., Lin, T.C., Lee, T.T., Liu, H.L.: Adaptive hybrid intelligent control for uncertain nonlinear dynamical systems. IEEE Trans. Syst. Man Cybern. B 32(5), 583–597 (2002)

    Article  Google Scholar 

  27. Duan, Z.S., Wang, J.Z., Chen, G.R., Huang, L.: Stability analysis and decentralized control of a class of complex dynamical networks. Automatica 44, 1028–1035 (2008)

    MathSciNet  Google Scholar 

  28. Lavaei, J., Aghdam, A.G.: Stabilization of decentralized control systems by means of periodic feedback. Automatica 44, 1120–1126 (2008)

    Article  MathSciNet  Google Scholar 

  29. Narendra, K.S., Oleng, N., Mukhopadhyay, S.: Decentralised adaptive control with partial communication. IEE Proc., Control Theory Appl. 153(5), 546–554 (2006)

    Article  MathSciNet  Google Scholar 

  30. Spooner, J.T., Passino, K.M.: Adaptive control of a class of decentralized nonlinear systems. IEEE Trans. Autom. Control 41(2), 280–284 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  31. Stanković, S.S., Šiljakc, D.D.: Robust stabilization of nonlinear interconnected systems by decentralized dynamic output feedback. Syst. Control Lett. 58, 271–275 (2009)

    Article  MATH  Google Scholar 

  32. Yoo, S.J., Park, J.B., Choi, Y.H.: Decentralized adaptive stabilization of interconnected nonlinear systems with unknown non-symmetric dead-zone inputs. Automatica 45, 436–443 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  33. Huang, S., Tan, K.K., Lee, T.H.: Decentralized control design for large-scale systems with strong interconnections using neural networks. IEEE Trans. Autom. Control 48(5), 805–810 (2003)

    Article  MathSciNet  Google Scholar 

  34. Karimi, B., Menhaj, M.B., Karimi-Ghartemani, M., Saboori, I.: Decentralized adaptive control of large-scale affine and nonaffine nonlinear systems. IEEE Trans. Instrum. Meas. 58(8), 2459–2467 (2009)

    Article  Google Scholar 

  35. Yousef, H., Hamdy, M., EI-Madbouly, E., Eteim, D.: Adaptive fuzzy decentralized control for interconnected MIMO nonlinear systems. Automatica 45, 456–462 (2009)

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  37. Hovakimyan, N., Lavretsky, E., Yang, B.J., Calise, A.J.: Coordinated decentralized adaptive output feedback control of interconnected systems. IEEE Trans. Neural Netw. 16(1), 185–194 (2005)

    Article  Google Scholar 

  38. Hua, C., Guan, X.: 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 

  39. Huang, Y.S., Zhou, D.Q., Chen, X., Lin, D.: H tracking design for a class of decentralized nonlinear systems via fuzzy adaptive observer. Syst. Eng. Electron. 20(4), 790–799 (2009)

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  41. 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. B 34(1), 770–775 (2004)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  43. Tseng, C.S.: A novel approach to H decentralized fuzzy-observer-based fuzzy control design for nonlinear interconnected systems. IEEE Trans. Fuzzy Syst. 16(5), 1337–1350 (2008)

    Article  Google Scholar 

  44. Parks, P.C., Hana, V.: Stability Theory. Prentice Hall, New York (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yi-Shao Huang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huang, YS., Zhou, DQ. Decentralized adaptive output feedback fuzzy controller for a class of large-scale nonlinear systems. Nonlinear Dyn 65, 85–101 (2011). https://doi.org/10.1007/s11071-010-9876-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-010-9876-2

Keywords

Navigation