Skip to main content
SpringerLink
Log in
Book cover

International Symposium on Neural Networks

ISNN 2013: Advances in Neural Networks – ISNN 2013 pp 112–119Cite as

Adaptive NN Dynamic Surface Control for Stochastic Nonlinear Strict-Feedback Systems

  • Conference paper

  • 3765 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7952))

Abstract

Based on the dynamic surface control (DSC), an adaptive neural network control approach is proposed for a class of stochastic nonlinear strictfeedback systems in this paper. This approach simplifies the backstepping design and overcomes the problem of ’explosion of complexity’ inherent in the backstepping method. The Lyapunov Stability analysis given in this paper shows that the control law can guarantee the solution of the closed-loop system uniformly ultimate boundedness (UUB) in probability. The simulation example is given to illustrate the effectiveness of the proposed control system.

This work was supported in part by the National Natural Science Foundation of China (Nos.51179019, 60874056), the Natural Science Foundation of Liaoning Province (No. 20102012) , the Program for Liaoning Excellent Talents in University(LNET)(Grant No.LR2012016), and the Applied Basic Research Program of Ministry of Transport of China, the Fundamental Research Funds for the Central Universities (No. 3132013005).

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   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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. Krstic, M., Kanellakopulos, I., Kocotovic, P.V., Nonlinear and Adaptive Control Design. Wiley, New York (1995)

    Google Scholar 

  2. Florchinger, P.: Lyapunov-like techniques for stochastic stability. SIAM J. Contr. Optim. 33, 1151–1169 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  3. Ge, S.S., Wang, C., Direct Adaptive, N.N.: Control of a Class of Nonlinear Systems. IEEE Trans. Neural Networks 13(1), 214–221 (2002)

    Article  Google Scholar 

  4. Yip, P.P., Hedrick, J.K.: Adaptive dynamic surface control: A simplified algorithm for adaptive backstepping control of nonlinear system. Int. J. Control. 71(5), 959–979 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ji, H.B., Chen, Z.F., Xi, H.S.: Adaptive stabilization for stochastic parametric strict-feedback systems with Wiener noise of unknown covariance. International Journal of Systems Science 34(2), 123–127 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Mao, X.: LaSalle-type theorem for stochastic differential delay equations. J. Math. Anal. Appl. 236(2), 350–369 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  7. Pan, Z.G., Basar, T.: Adaptive controller designs for tracking and disturbance attenuation in parametric strict-feedback nonlinear systems. IEEE Trans. Autom. Contro. 43(8), 1066–1083 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  8. Deng, H., Kristic, M.: Stochastic nonlinear stabilization, Part I: a backstepping design. Syst. Control Lett. 32(3), 143–150 (1997)

    Google Scholar 

  9. Chen, W.S., Jiao, L.C., Li, J., Li, R.H., Adaptive, N.N.: Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays. IEEE Transactions on Systems, Man, and Cybernetics—Part B: Cybernetics 40(3), 939–950 (2010)

    Article  Google Scholar 

  10. Li, J., Chen, W.S., Li, J.M., Fang, Y.Q.: Adaptive NN output-feedback stabilization for a class of stochastic nonlinear strict-feedback systems. ISA Transactions 48, 468–475 (2009)

    Article  Google Scholar 

  11. Wang, H.Q., Chen, B., Lin, C.: Direct adaptive neural control for strict-feedback stochastic nonlinear systems. Nonlinear Dyn. 67, 2703–2718 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  12. Swaroop, D., Gerdes, J.C., Yip, P.P., Hedrick, J.K.: Dynamic surface control of nonlinear systems. In: Proc. Amer. Control Conf., Albuquerque, NM, pp. 3028–3034 (June 1997)

    Google Scholar 

  13. Wang, D., Huang, J.: Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. IEEE Transactions on Neural Networks 16(1), 195–202 (2005)

    Article  Google Scholar 

  14. Wang, R., Liu, Y.J., Tong, S.C.: Decentralized control of uncertain nonlinear stochastic systems based on DSC. Nonlinear Dyn. 64, 305–314 (2011)

    Article  MathSciNet  Google Scholar 

  15. Chen, W.S., Jiao, L.C., Du, Z.B.: Output-feedback adaptive dynamic surface control of stochastic non-linear systems using neural network. IET Control Theory Appl. 4(12), 3012–3021 (2010)

    Article  MathSciNet  Google Scholar 

  16. Krstic, M., Deng, H.: Stabilitization of nonlinear uncertain systems. Springer, London (1998)

    Google Scholar 

  17. Wang, Y.C., Zhang, H.G., Wang, Y.Z.: Fuzzy adaptive control of stochastic nonlinear systems with unknown virtual control gain function. Acta Autom. Sin. 32(2), 170–178 (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Navigational College, Dalian Maritime University, Dalian, 116026, China

    Zifu Li, Tieshan Li & Xiaori Gao

  2. Navigation college, Jimei University, Xiamen, 361021, China

    Zifu Li

Authors
  1. Zifu Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tieshan Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xiaori Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. School of Information and Communication Engineering, Dalian University of Technology, A 530, Chuangxinyuan Building, 116023, Dalian, China

    Chengan Guo

  2. Institute of Automation, Chinese Academy of Sciences, 100864, Beijing, China

    Zeng-Guang Hou

  3. School of Automation, Huazhong University of Science and Technology, 430074, Wuhan, China

    Zhigang Zeng

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, Z., Li, T., Gao, X. (2013). Adaptive NN Dynamic Surface Control for Stochastic Nonlinear Strict-Feedback Systems. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39068-5_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-39068-5_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39067-8

  • Online ISBN: 978-3-642-39068-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation