Skip to main content

Dynamic Structure Neural Network for Stable Adaptive Control of Nonlinear Systems

  • Conference paper
Advances in Neural Networks – ISNN 2011 (ISNN 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6677))

Included in the following conference series:

  • 2132 Accesses

Abstract

In this paper an adaptive control strategy based on neural network for a class of nonlinear system is analyzed. A simplified algorithm is presented with the technique in generalized predictive control theory and the gradient descent rule to accelerate learning and improve convergence. Taking the neural network as a model of the system, control signals are directly obtained by minimizing the cumulative differences between a setpoint and output of the model. The applicability in nonlinear system is demonstrated by simulation experiments.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Tan, Y., Keyser, R.D.: Neural-network-based Adaptive Predictive Control. Advances in MBPC, 77–88 (1993)

    Google Scholar 

  2. Chen, F.C., Khalil, H.K.: Adaptive Control of Nonlinear Systems Using Neural Networks. Int. J. Cont. 55, 1299–1317 (1994)

    Article  MATH  Google Scholar 

  3. Man, Z.H.: An Adaptive Tracking Controller Using Neural Networks for a Class of Nonlinear Systems. IEEE Trans. Neural Networks. 9(5), 947–954 (1998)

    Article  Google Scholar 

  4. Fabri, S., Dadirkamanathan, V.: Dynamic Structure Neural Networks for Stable Adaptive Control of Nonlinear Systems. IEEE Trans. Neural Networks 6(5), 1151–1165 (1995)

    Google Scholar 

  5. Jin, L., Nikiforuk, P.N., Gupta, M.M.: Adaptive Tracking of SISO Nonlinear Systems Using Multilayered Neural Networks. In: Proceeding of American Control Conference, Chicago, pp. 56–62 (1992)

    Google Scholar 

  6. Rovithakis, G.A., Christodoulou, M.A.: Direct adaptive regulation of unknown nonlineare dynamical systems via dynamic neural networks. IEEE Trans. Syst., Man, Cybern. 125, 1578–1595 (1995)

    Article  Google Scholar 

  7. Hayakawa, T., Haddad, W.M., Hovakimyan, N.: Neural Network Adaptive Control for a Class of Nonlinear Uncertain Dynamical Systems With Asymptotic Stability Guarantees. IEEE Transactions on Neural Networks 19(1), 80–89 (2008)

    Article  Google Scholar 

  8. Hayakawa, T., Haddad, W.M., Hovakimyan, N., Chellaboina, V.: Neural network adaptive control for nonlinear nonnegative dynamical systems. IEEE Transactions on Neural Networks 16(2), 399–413 (2005)

    Article  Google Scholar 

  9. Deng, H., Li, H.X., Wu, Y.H.: Feedback-Linearization-Based Neural Adaptive Control for Unknown Nonaffine Nonlinear Discrete-Time Systems. IEEE Transactions on Neural Networks 19(9), 1615–1625 (2008)

    Article  Google Scholar 

  10. Li, T., Feng, G., Wang, D., Tong, S.: Neural-network-based simple adaptive control of uncertain multi-imput multi-output nonlinear systems. Control Therory & Application 4(9), 1543–1557 (2010)

    Article  Google Scholar 

  11. Chen, P.C., Lin, P.Z., Wang, C.H., Lee, T.T.: Robust Adaptive Control Scheme Using Hopfield Dynamic Neural Network for Nonlinear Nonaffine Systems. In: Zhang, L., Lu, B.-L., Kwok, J. (eds.) ISNN 2010. LNCS, vol. 6064, pp. 497–506. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  12. Sun, H.B., Li, S.Q.: General nonlinear system MRAC based on neural network. Application Research of Computers 26(11), 4169–4178 (2009)

    Google Scholar 

  13. Poznyak, A.S., Sanchez, E.N., Yu, W.: Differential Neural Networks for Robust Nonlinear Control. In: Identification, State Estimation and Trajectory Tracking, World Scientific, Singapore (2001)

    Google Scholar 

  14. Farrell, J.A., Polycarpou, M.M.: Adaptive Approximation Based Control: Unifying Neural, Fuzzy and Traditional Adaptive Approximation approaches. Wiley, Hoboken (2006)

    Book  Google Scholar 

  15. Ge, S.S., Lee, T.H., Harris, C.J.: Adaptive Neural Network control of Robotic Manipulators. World Scentific, River Edge (1998)

    Book  Google Scholar 

  16. Lewis, F.L., Jagannathan, S., Yesilidrek, A.: Neural Network Control of Robot Manipulators and Nonlinear systems. Taylor and Francis, London (1999)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lei, J. (2011). Dynamic Structure Neural Network for Stable Adaptive Control of Nonlinear Systems. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6677. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21111-9_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21111-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21110-2

  • Online ISBN: 978-3-642-21111-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics