Skip to main content

Adaptive Control of a Class of Nonlinear Systems with Parameterized Unknown Dynamics

  • Conference paper
  • First Online:
Advances in Neural Networks – ISNN 2015 (ISNN 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9377))

Included in the following conference series:

  • 2363 Accesses

Abstract

In this paper, an observer-based adaptive control scheme for a class of nonlinear systems with parametric uncertainties is proposed. The adaptive observers using parameter estimates ensure the identification errors of system states are convergent to zero, and force the parameter estimates approach to the true values especially if the observer gains are selected large enough. By combining the Lyapunov synthesis with backstepping framework, the global asymptotical stability and bounded signals of the resulting closed-loop system can be ensured. A numerical example is employed to demonstrate the effectiveness of the proposed adaptive control scheme.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Farrell, J.A., Polycarpou, M., Sharma, M., Dong, W.: Commanded Filtered Backstepping. IEEE Trans. Autom. Control 54, 1391–1395 (2009)

    Article  MATH  Google Scholar 

  2. Lin, W., Qian, C.: Adding One Power Integrator: A Tool for Global Stabilization of High Order Lower-Triangular Systems. Syst. Control Lett. 39, 339–351 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  3. Seto, D., Annaswamy, A.: Adaptive Control of Nonlinear Systems With a Triangular Structure. IEEE Trans. Autom. Control 39, 1411–1428 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  4. Lin, W., Qian, C.: Adaptive Control of Nonlinearly Parametrized Systems: The Smooth Feedback Framework. IEEE Trans. Automat. Control 47, 1249–1266 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  5. Lin, W., Qian, C.: Adaptive Control of Nonlinearly Parametrized Systems: A Nonsmooth Feedback Framework. IEEE Trans. Automat. Control 47, 757–774 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  6. Lei, H., Lin, W.: Universal Adaptive Control of Nonlinear Systems with Unknown Growth Rate by Output Feedback. Automatica 42, 1783–1789 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  7. Li, T.S., Tong, S.C., Feng, G.: A Novel Robust Adaptive-Fuzzy-Tracking Control for a Class of Nonlinear Multi-Input/Multi-Output Systems. IEEE Trans. Fuzzy Syst. 18, 150–160 (2010)

    Article  Google Scholar 

  8. Tong, S.C., Li, Y.M., Feng, G., Li, T.S.: Observer-Based Adaptive Fuzzy Backstepping Dynamic Surface Control for a Class of Mimo Nonlinear Systems. IEEE Trans. Syst. Man Cybern. B, Cybern. 41, 1124–1135 (2011)

    Article  Google Scholar 

  9. Wang, N., Er, M.J.: Self-Constructing Adaptive Robust Fuzzy Neural Tracking Control of Surface Vehicles with Uncertainties and Unknown Disturbances. IEEE Trans. Control Syst. Tech. 23, 991–1002 (2015)

    Article  Google Scholar 

  10. Ge, S.S., Wang, C.: Direct Adaptive NN Control of a Class of Nonlinear Systems. IEEE Trans. Neural Netw. 13, 214–221 (2002)

    Article  Google Scholar 

  11. Chen, M., Ge, S.S., How, B.V.E.: Robust Adaptive Neural Network Control for a Class of Uncertain MIMO Nonlinear Systems with Input Nonlinearities. IEEE Trans. Neural Netw. 21, 796–812 (2010)

    Article  Google Scholar 

  12. Liu, Y.J., Tong, S.C., Wang, D., Li, T.S., Chen, C.L.P.: Adaptive Neural Output Feedback Controller Design with Reduced-Order Observer for a Class of Uncertain Nonlinear SISO Systems. IEEE Trans. Neural Netw. 22, 1328–1334 (2011)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jing-Chao Sun .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Sun, JC., Wang, N., Liu, YC. (2015). Adaptive Control of a Class of Nonlinear Systems with Parameterized Unknown Dynamics. In: Hu, X., Xia, Y., Zhang, Y., Zhao, D. (eds) Advances in Neural Networks – ISNN 2015. ISNN 2015. Lecture Notes in Computer Science(), vol 9377. Springer, Cham. https://doi.org/10.1007/978-3-319-25393-0_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-25393-0_9

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25392-3

  • Online ISBN: 978-3-319-25393-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics