Skip to main content
SpringerLink
Log in
Book cover

International Symposium on Neural Networks

ISNN 2007: Advances in Neural Networks – ISNN 2007 pp 158–165Cite as

Adaptive Output-Feedback Stochastic Nonlinear Stabilization Using Neural Network

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4491))

Abstract

This letter extends adaptive neural network control method to a class of stochastic nonlinear output-feedback systems . Differently from the existing results, the nonlinear terms are assumed to be completely unknown and only a neural network is employed to compensate all unknown nonlinear functions. Based on stochastic LaSalle theorem, the resulting closed-loop system is proved to be globally asymptotically stable in probability.

This is a preview of subscription content, 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Krstić, M., Kanellakopulos, I., Kocotovic, P.V.: Nonlinear and Adaptive Control Design. Wiley, New York (1995)

    Google Scholar 

  2. Pan, Z., Basar, T.: Backstepping Controller Design for Noninear Stochastic Systems under A Risk-sensitive Cost Criterion. SIAM J. Control and Optimization 37, 957–995 (1999)

    Article  MATH  Google Scholar 

  3. Deng, H., Krstić, M.: Output-feedback Stabilization of Stochastic Nonlinear s Systems Driven by Noise of Unknown Covariance. Systems & Control Letters 39, 173–182 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  4. Ji, H.B., Xi, H.S.: Adaptive Output-feedback Tracking of Stochastic Nonlinear Systems. IEEE Transactions on Automatica Control 51, 355–360 (2006)

    Article  MathSciNet  Google Scholar 

  5. Fu, Y.S., Tian, Z.H., Shi, S.J.: Output Feedback Stabilization for A Class of Stochastic Time-delay Nonlinear Systems. IEEE Transactions on Automatica Control 50, 847–851 (2005)

    Article  MathSciNet  Google Scholar 

  6. Wang, D., Huang, J.: Neural Network-based Adaptive Dynamic Surface Control for A Class of Uncertain Nonlinear Sytems in Strict-feedback Form. IEEE Transactions on Neural Networks 16, 195–202 (2005)

    Article  Google Scholar 

  7. Choi, J.Y., Farrell, J.A.: Adaptive Observer Backstepping Control Using Neural Networks. IEEE Transactions on Neural Networks 12, 1103–1113 (2001)

    Article  Google Scholar 

  8. Ho, D.W.C., Li, J.M., Hong, Y.G.: Adaptive Neural Control for A Class of Nonlinear Parametric Time Delay Systems. IEEE Transactions on Neural Networks 16, 625–635 (2005)

    Article  Google Scholar 

  9. Chen, W.S., Li, J.M.: Adaptive Neural Tracking Control for Unknown Output Feedback Nonlinear Time-delay Systems. ACTA Automatica Sinica 31, 799–803 (2005)

    MathSciNet  Google Scholar 

  10. Chen, W.S., Li, J.M.: Adaptive Output Feedback Control for Nonlinear Time-delay Systems Using Neural Network. Journal of Control Theory and Application 4, 313–320 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  11. Krstić, M., Deng, H.: Stabilization of Nonlinear Uncertain Systems. Springer, London (1998)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Linyi Normal College, Linyi 276005, China

    Jun Yang

  2. Department of Chemistry, Shannxi Institute of Education, Xi’an 710061, China

    Junchao Ni

  3. Department of Applied Mathematics, Xidian University, Xi’an 710071, China

    Weisheng Chen

Authors
  1. Jun Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Junchao Ni
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Weisheng Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering (M/C 154), University of Illinois at Chicago, 851 S. Morgan Street, 60607-7053, Chicago, IL, USA

    Derong Liu

  2. School of Automation, Southeast University, 210096, Nanjing, China

    Shumin Fei

  3. Laboratory of Complex Systems, Institute of Automation, Chinese Adacemy of Sciences, 100080, Beijing, P. R. China

    Zeng-Guang Hou

  4. School of Information Science and Engineering, Northeast University, Shenyang, 110004, China

    Huaguang Zhang

  5. School of Electrical Engineering, Hohai University, Nanjing, 210098, China

    Changyin Sun

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yang, J., Ni, J., Chen, W. (2007). Adaptive Output-Feedback Stochastic Nonlinear Stabilization Using Neural Network. In: Liu, D., Fei, S., Hou, ZG., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72383-7_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72383-7_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72382-0

  • Online ISBN: 978-3-540-72383-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation