Skip to main content
SpringerLink
Log in

B-Spline Output Feedback Control for Nonlinear Systems

  • Conference paper
Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5552))

Included in the following conference series:

Abstract

This paper proposes an adaptive B-spline output feedback controller for unknown nonlinear systems with only system output measurement. The controller integrates an error observer and B-spline neural networks into adaptive control design. The error observer is used to estimate the tracking errors through output measurement information, and the B-spline neural networks are utilized to online approximate an unknown control input by adjusting their internal parameters, including control points and knot parameters. In addition, simulation results demonstrate the feasibility of the proposed controller.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hornik, K., Stinchcombe, M., White, H.: Multilayer Feedforward Networks are Universal Approximators. Neural Network 2, 359–366 (1989)

    Article  Google Scholar 

  2. Zhihong, M., Wu, H.R., Palaniswami, M.: An Adaptive Tracking Controller Using Neural Networks for a Class of Nonlinear Systems. IEEE Transactions Neural Networks 9, 947–1031 (1998)

    Article  Google Scholar 

  3. Ge, S.S., Hang, C.C., Zhang, T.: Adaptive Neural Network Control of Nonlinear Systems by State and Output Feedback. IEEE Transactions Syst., Man, Cybern. B. 29, 818–828 (1999)

    Article  Google Scholar 

  4. Ge, S.S., Wang, C.: Adaptive Neural Control of Uncertain MIMO Nonlinear Systems. IEEE Trans. Neural Netw. 15, 674–692 (2004)

    Article  Google Scholar 

  5. Hayakawa, T., Haddad, W.M., Bailey, J.M., Hovakimyan, N.: Passivity-based Neural Network Adaptive Output Feedback Control for Nonlinear Nonnegative Dynamical Systems. IEEE Trans. Neural Network 16, 387–398 (2005)

    Article  Google Scholar 

  6. Polycarpou, M.M.: Stable Adaptive Neural Control Scheme for Nonlinear Systems. IEEE Transactions Autom. Control 41, 447–451 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  7. Ge, S.S., Zhang, J.: Neural-network Control of Nonaffine Nonlinear System with Zero Dynamics by State and Output Feedback. IEEE Trans. Neural Network 14, 900–918 (2003)

    Article  Google Scholar 

  8. Wang, C.H., Lin, T.C., Lee, T.T., Liu, H.L.: Adaptive Hbrid Itelligent control for uncertain nonlinear dynamical systems. IEEE Transactions on Systems, Man, and Cybernetics 32 (2002)

    Google Scholar 

  9. Brown, M., Harris, C.: Neurofuzzy Adaptive Modelling and Control. Prentice-Hall, Hertfordshire (1994)

    Google Scholar 

  10. Lin, Z., Reay, D.S., Williams, B.W., He, X.: Online Modeling for Switched Reluctance Motors Using B-Spline Neural Networks. IEEE Transactions Industrial Electronics 54, 317–3322 (2007)

    Google Scholar 

  11. Cong, S., Song, R.: An Improved B-Spline Fuzzy-Neural Network Controller. In: Proceedings of the 3rd World Congress on Intelligent Control and Automation (2000)

    Google Scholar 

  12. Wang, C.H., Wang, W.Y., Lee, T.T., Tseng, P.S.: Fuzzy B-spline Membership Function and Its Applications in Fuzzy-Neural Control. IEEE Transactions on Systems, Man, and Cybernetics 25 (1995)

    Google Scholar 

  13. Wang, W.Y., Tao, C.W., Chang, C.G.: Adaptive Bound Reduced-Form Genetic Algorithms for B-Spline Neural Network Training. IEICE Trans. Inf. & Syst. e87-d(11) (2004)

    Google Scholar 

  14. Hsu, C.F., Lin, C.M., Lee, T.T.: Wavelet Adaptive Backstepping Control for a Class of Nonlinear Systems. IEEE Transactions on Neural Networks 17 (2006)

    Google Scholar 

  15. Ge, S.S., Wang, C.: Adaptive Neural Control of Uncertain MIMO Nonlinear Systems. IEEE Transactions on Neural Network 15 (2004)

    Google Scholar 

  16. Chang, Y.C., Yen, H.M.: Adaptive Output Feedback Tracking Control for a Class of Uncertain Nonlinear Systems Using Neural Networks. IEEE Trans. Syst. Man, Cybern. B, Cybern 35, 1311–1316 (2005)

    Article  Google Scholar 

  17. Leu, Y.G., Lee, T.T., Wang, W.Y.: Observer-Based Direct Adaptive Fuzzy-Neural Control for Non-affine Nonlinear Systems. IEEE Trans. Neural Network 16, 853–861 (2005)

    Article  Google Scholar 

  18. Khalil, H.K.: Nonlinear Systems. Macmillan, New York (1992)

    MATH  Google Scholar 

  19. Grossman, S.I., Derrick, W.R.: Advanced Engineering Mathematics. Happer & Row (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Electronics Technology, National Taiwan Normal University, 162, Ho-Oing E. Road, Sec 1, Taipei, Taiwan

    Yih-Guang Leu, Jian-You Lin & Chun-Yao Chen

Authors
  1. Yih-Guang Leu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jian-You Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chun-Yao Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Departamento de Control Automático,, CINVESTAV-IPN,, A.P. 14-740, Av.IPN 2508,, D.F., 07360,, México, México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering,, Stevens Institute of Technology,, NJ 07030,, Hoboken,, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering,, South Dakota School of Mines & Technology,, 501 E. St. Joseph Street,, SD 57701,, Rapid City,, USA

    Nian Zhang

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Leu, YG., Lin, JY., Chen, CY. (2009). B-Spline Output Feedback Control for Nonlinear Systems. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01510-6_126

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01510-6_126

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01509-0

  • Online ISBN: 978-3-642-01510-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation