Skip to main content
Log in

Adaptive practical output tracking of a class of nonlinear systems

  • Published:
Journal of Control Theory and Applications Aims and scope Submit manuscript

Abstract

Focus is laid on the adaptive practical output-tracking problem of a class of nonlinear systems with high-order lower-triangular structure and uncontrollable unstable linearization. Using the modified adaptive addition of a power integrator technique as a basic tool, a new smooth adaptive state feedback controller is designed. This controller can ensure all signals of the closed-loop systems are globally bounded and output tracking error is arbitrary small.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Krstic, I. Kanellakopoulos, P. V. Kokotociv, Nonlinear and Adaptive Control Design, Wiley,NewYork, 1995.

    Google Scholar 

  2. R. Marino, P. Tomei, Nonlinear Control Design, Prentice-Hall, England, 1995.

    MATH  Google Scholar 

  3. W. Lin, Global robust stabilization of minimum-phase nonlinear systems with uncertainty, Automatica, Vol. 33, No. 3, pp. 453–462,1997.

    Article  MATH  Google Scholar 

  4. Z. P. Jiang, D. J. Hill, A. L. Fradkov, A pacification approach to adaptive nonlinear stabilization, Systems & Control Letters, Vol. 28, No. 2, pp. 73 -84, 1996.

    Article  MATH  Google Scholar 

  5. W. Lin,C.J. Qian, Adding one power integrator: A tool for global stabilization of high-order cascade nonlinear systems, Systems & Control Utters, Vol.39, No. 5, pp. 339–351, 2000.

    Article  MATH  Google Scholar 

  6. W. Lin, C.J. Qian, Adaptive regulation of high-order lower-triangular systems: an adding a power integrator technique, Systems & Control Letters, Vol.39,No. 5, pp. 353–364, 2000.

    Article  MATH  Google Scholar 

  7. Q. D. Wang, C. L. Wei, H. J. Wang, Robust adaptive controller of a class of nonlinear parameterization systems, Control Theory & Applications, Vol. 19, No. 2, pp. 197–202,2002.

    MATH  Google Scholar 

  8. Q.D. Wang, W.T. Chen, C.L. Wei, X.D. Chu, Robust adaptive control of a class of a uncertain nonlinear systems, Control Theory & Applications, Vol. 17, No. 2, pp. 244–248,2000.

    MATH  Google Scholar 

  9. C. J. Qian, W. Lin, Practical output tracking of nonlinear systems with uncontrollable unstable linearization, IEEE Trans. on Automatic Control, Vol.47,No. 1,pp. 21–36,2002.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported by the National Natural Science Foundation of China (No. 60304003) and the National Science Foundation of Shandong Province (No.Q2002G02).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, Q., Jing, Y. & Zhang, S. Adaptive practical output tracking of a class of nonlinear systems. J. Control Theory Appl. 2, 117–120 (2004). https://doi.org/10.1007/s11768-004-0054-2

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11768-004-0054-2

Keywords

Navigation