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Adaptive Fuzzy Output-Feedback Controller for SISO Affine Nonlinear Systems Without State Observer

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Knowledge-Based Intelligent Information and Engineering Systems (KES 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3684))

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Abstract

This paper proposes a new ouput-feedback adaptive fuzzy controller for SISO affine nonlinear systems. The previous output-feedback control algorithms are all based on the state observer (e.g., higher-order-observer) or additional low-pass filter to make the estimation error dynamics SPR, which makes the stability analysis of the closed-loop system and real implementation very complicated. The distingushied aspect of the proposed output-feedback control algorithm is that no state observer or low-pass filter is employed. Only the output error is used to generate control input and update laws for unknown fuzzy parameters. The stability analysis depends heavily on the universal function approximation property of the fuzzy system to estimate unknown function of the desired control input. It is shown that, combining this simple output-feedback control algorithm with an online self-structuring fuzzy system, the Lyapunov stability of the closed-loop system is globally guarnateed.

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References

  1. Wang, L.-X., Mendel, J.M.: Fuzzy basis functions universal approximation, and orthogonal least-squares learning. IEEE Trans. Neural Network 3(5), 807–814 (1992)

    Article  Google Scholar 

  2. Castro, J.L.: Fuzzy logic controllers are universal approximators. IEEE Trans. System, Man, and Cybernetics 25(4), 629–635 (1995)

    Article  Google Scholar 

  3. Park, J.-H., Kim, S.-H.: Direct adaptive output-feedback fuzzy controller for nonaffine nonlinear system. IEE Proceedings - Control Theory and Applications 151(1), 65–72 (2004)

    Article  Google Scholar 

  4. Tong, S., Li, H.-H.: Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties. Fuzzy Sets and Systems 131, 165–184 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  5. Xiaodong, L., Qingling, Z.: New approaches to h∞ controller design based on fuzzy observers for t-s fuzzy systems via lmi. Automatica 39, 1571–1582 (2003)

    Article  MATH  Google Scholar 

  6. Golea, N., Golea, A., Benmahammed, K.: Stable indirect fuzzy adaptive control. Fuzzy Sets and Systems 137, 353–366 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  7. Leu, Y.-G., Lee, T.-T., Wang, E.-Y.: Observer-based adaptive fuzzy-neural control for nonlinear dynamical systmes. IEEE Trans. Syst. Man Cybern.-Park B:Cybern. 29(5), 583–592 (1999)

    Article  Google Scholar 

  8. Leu, Y.-G., Lee, T.-T., Wang, E.-Y.: h ∞ -observer based adaptive fuzzy-neural control for a class of uncertain nonlinear systmes. In: Proceedings of the IEEE International Conference on Syst. Man Cybern., pp. 449–454 (1999)

    Google Scholar 

  9. Kim, Y.-H., Lewis, F.L., Abdalla, C.T.: A dynamic recurrent neural-networkbased adaptive observer for a class of nonlinear systems. Automatica 33(8), 1539–1543 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  10. Choi, J.Y., Farrell, J.: Observer-based backstepping control using on-line approximation. In: Proceedings of the 1999 IEEE American Control Conference, pp. 3646–3650 (2000)

    Google Scholar 

  11. Huang, S.N., Tan, K.K., Lee, T.H.: Futher results on adaptive control for a class of nonlinear systems using neural networks. IEEE Trans. Neural Networks 14(3), 719–722 (2003)

    Article  Google Scholar 

  12. Calise, A.J., Hovakimyan, N., Idan, M.: Adaptive output feedback control of nonlinear systems using neural networks. Automatica 37(1), 1201–1211 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  13. Park, J.-H., Park, G.-T.: Robust adaptive fuzzy controller for nonlinear system using estimation of bounds for approximation errors. Fuzzy Sets & Systems 133(1), 19–36 (2003)

    Article  MATH  Google Scholar 

  14. Park, J.-H., Park, G.-T.: Robust adaptive fuzzy controller for nonaffine nonlinear systems with dynamic rule activation. Int. J. Robust and Nonliner Control 13(2), 117–139 (2003)

    Article  MATH  Google Scholar 

  15. Yoo, W.H.: Adaptive fuzzy sliding mode control of nonlinear system. IEEE Trans. Fuzzy Systems 6(2), 312–315 (1998)

    MathSciNet  Google Scholar 

  16. Wang, W.-Y., Chan, M.-L., Hsu, C.-C.J., Lee, T.-T.: h ∞  tracking-based sliding mode control for unvertain nonlinear systems via an adaptive fuzzy-neural approach. IEEE Trans. System, Man, and Cybernetics - Park B:Cybernetaics 32(4), 483–492 (2002)

    Article  Google Scholar 

  17. Hwang, C.-L., Kuo, C.-Y.: A stable adaptive fuzzy sliding-mode control for affine nonlinear systems with application to four-bar linkage systems. IEEE Trans. Fuzzy Systems 9(2), 238–252 (2001)

    Article  Google Scholar 

  18. Wong, L.K., Leung, H.F., Tam, P.K.S.: A fuzzy sliding controller for nonliear systems. IEEE Trans. Industrial Electronics 48(1), 32–37 (2001)

    Article  Google Scholar 

  19. Ioannou, P.A., Sun, J.: Robust Adaptive Control. Prentice-Hall, Englewood Cliffs (1996)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Control System Engineering, Mokpo National University, 61, Torim-ri Chonggye-myon, Muan-gun, Chonnam, Korea

    Jang-Hyun Park

  2. Department of Electrical Engineering, Anyang University, 708-113, Anyang 5-dong, Manan-gu, Anyang-shi, Kyonggi-do, 430-714, Korea

    Sam-Jun Seo

  3. School of Electrical Engineering, Korea University, 1, 5-ka, Anam-dong,Seongbuk-ku, Seoul, 136-701, Korea

    Dong-Won Kim & Gwi-Tae Park

Authors
  1. Jang-Hyun Park
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  2. Sam-Jun Seo
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  3. Dong-Won Kim
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  4. Gwi-Tae Park
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Editor information

Editors and Affiliations

  1. School of Business, La Trobe University, 3086, Melbourne, Victoria, Australia

    Rajiv Khosla

  2. Centre for SMART systems Engineering Research Centre, University of Brighton, Moulsecoomb, BN2 4GJ, Brighton, UK

    Robert J. Howlett

  3. School of Electrical and Information Engineering, Knowledge Based Intelligent Engineering Systems Centre, University of South Australia, 5095, Mawson Lakes, SA, Australia

    Lakhmi C. Jain

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© 2005 Springer-Verlag Berlin Heidelberg

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Park, JH., Seo, SJ., Kim, DW., Park, GT. (2005). Adaptive Fuzzy Output-Feedback Controller for SISO Affine Nonlinear Systems Without State Observer. In: Khosla, R., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2005. Lecture Notes in Computer Science(), vol 3684. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11554028_76

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  • DOI: https://doi.org/10.1007/11554028_76

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28897-8

  • Online ISBN: 978-3-540-31997-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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