Skip to main content

Intelligent Digital Control for Nonlinear Systems with Multirate Sampling

  • Conference paper
Fuzzy Systems and Knowledge Discovery (FSKD 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3613))

Included in the following conference series:

Abstract

This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi–Sugeno (T–S) fuzzy models. The main features of the proposed method are that it is provided that the sufficient conditions for stabilization of the discrete-time T–S fuzzy system derived by the fast discretization method in the sense of Lyapunov stability criterion, which is can be formulated in the linear matrix inequalities (LMIs).

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.

Similar content being viewed by others

References

  1. Joo, Y.H., Shieh, L.S., Chen, G.: Hybrid state-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems. IEEE Trans. Fuzzy Syst. 7, 394–408 (1999)

    Article  Google Scholar 

  2. Chang, W., Park, J.B., Joo, Y.H., Chen, G.: Design of sampled-data fuzzy-model-based control systems by using intelligent digital redesign. IEEE Trans. Circ. Syst. I. 49, 509–517 (2002)

    Article  Google Scholar 

  3. Lee, H.J., Kim, H., Joo, Y.H., Chang, W., Park, J.B.: A new intelligent digital redesign for T–S fuzzy systems: global approach. IEEE Trans. Fuzzy Syst. 12, 274–284 (2004)

    Article  Google Scholar 

  4. Chang, W., Park, J.B., Joo, Y.H.: GA-based intelligent digital redesign of fuzzy-model-based controllers. IEEE Trans. Fuzzy Syst. 11, 35–44 (2003)

    Article  Google Scholar 

  5. Wang, H.O., Tanaka, K., Griffin, M.F.: An approach to fuzzy control of nonlinear systems: Stability and design issues. IEEE Trans. Fuzzy Syst. 4, 14–23 (1996)

    Article  Google Scholar 

  6. Tananka, K., Kosaki, T., Wang, H.O.: Backing control problem of a mobile robot with multiple trailers: fuzzy modeling and LMI-based design. IEEE Trans. Syst. Man, Cybern. C. 28, 329–337 (1998)

    Article  Google Scholar 

  7. Cao, Y.Y., Frank, P.M.: Robust \(\mathcal{H}_{\infty}\) disturbance attenuation for a class of uncertain discrete-time fuzzy systems. IEEE Trans. Fuzzy Syst. 8, 406–415 (2000)

    Article  Google Scholar 

  8. Tananka, K., Wang, H.O.: Fuzzy control systems design and analysis: a linear matrix inequality approach. John Wiley & Sons, Chichester (2001)

    Google Scholar 

  9. Katayama, H., Ichikawa, A.: H  ∞  control for sampled-data fuzzy systems. In: Proc. American Contr. Conf., vol. 5, pp. 4237–4242 (2003)

    Google Scholar 

  10. Hu, L.S., Lam, J., Cao, Y.Y., Shao, H.H.: A linear matrix inequality (LMI) approach to robust H 2 sampled-data control for Linear Uncertain Systems. IEEE Trans. Syst. Man, Cybern. B. 33, 149–155 (2003)

    Google Scholar 

  11. Chen, T., Francis, B.: Optimal Sampled-Data Control Systems. Springer, Heidelberg (1995)

    MATH  Google Scholar 

  12. Francis, B.A., Georgiou, T.T.: Stability theory for linear time-invariant plants with periodic digital controllers. IEEE Trans. Automat. Contr. 33, 820–832 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  13. Shieh, L.S., Wang, W.M., Bain, J., Sunkel, J.W.: Design of lifted dual-rate digital controllers for X-38 vehicle. Jounal of Guidance, Contr. Dynamics 23, 629–639 (2000)

    Article  Google Scholar 

  14. Nesic, D., Teel, A.R.: A framework for stabilization of nonlinear sampled-Data systems based on their approximate discrete-time models. IEEE Trans. Automat. Contr. 49, 1103–1122 (2004)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kim, D.W., Park, J.B., Joo, Y.H. (2005). Intelligent Digital Control for Nonlinear Systems with Multirate Sampling. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_111

Download citation

  • DOI: https://doi.org/10.1007/11539506_111

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28312-6

  • Online ISBN: 978-3-540-31830-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics