Skip to main content

Advertisement

Springer Nature Link
Log in

Reliable memory feedback design for a class of nonlinear fuzzy systems with time-varying delay

  • Published:
International Journal of Automation and Computing Aims and scope Submit manuscript

Abstract

This paper is concerned with the robust reliable memory controller design for a class of fuzzy uncertain systems with time-varying delay. The system under consideration is more general than those in other existent works. The controller, which is dependent on the magnitudes and derivative of the delay, is proposed in terms of linear matrix inequality (LMI). The closed-loop system is asymptotically stable for all admissible uncertainties as well as actuator faults. A numerical example is presented for illustration.

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

Access this article

Log in via an institution

Subscribe and save

Springer+
from $39.99 /Month
  • Starting from 10 chapters or articles per month
  • Access and download chapters and articles from more than 300k books and 2,500 journals
  • Cancel anytime
View plans

Buy Now

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Explore related subjects

Discover the latest articles, books and news in related subjects, suggested using machine learning.

References

  1. L. A. Zadeh. Fuzzy Set. Information and Control, vol. 8, no. 3, pp. 338–353, 1965.

    Article  MATH  Google Scholar 

  2. T. Takagi, M. Sugeno. Fuzzy Identification of Systems and Its Applications to Modeling and Control. IEEE Transactions on System, Man, and Cybernetics, vol. 15, no. 1, pp. 116–132, 1985.

    MATH  Google Scholar 

  3. F. Cuesta, F. Gordillo, J. Aracil. Stability Analysis of Nonlinear Multivariable Takagi-Sugeno Fuzzy Control Systems. IEEE Transactions on Fuzzy Systems, vol. 7, no. 5, pp. 508–520, 1999.

    Article  Google Scholar 

  4. N. Li, S. Y. Li. Stability Analysis and Design of T-S Fuzzy Control System with Simplified Linear Rule Consequent. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, vol. 34, no. 1, pp. 788–795, 2004.

    Article  Google Scholar 

  5. L. Leh. New Stability Analysis of T-S Fuzzy System with Robust Approach. Mathematics and Computers in Simulation, vol. 59, no. 4, pp. 335–340, 2002.

    Article  MATH  Google Scholar 

  6. B. Chen, X. Liu. Reliable Control Design of Fuzzy Dynamic Systems with Time-varying Delay. Fuzzy Sets and Systems, vol. 146, no. 3, pp. 349–374, 2004.

    Article  MATH  Google Scholar 

  7. Y. Wang, D. Zhou. Robust Reliable Control for a Class of Fuzzy Dynamic Systems with Time-varying Delay. Lecture Notes in Artificial Intelligence, vol. 3802, no. 2, pp. 1003–1010, 2005.

    Google Scholar 

  8. R. J. Veillette, J. V. Medanic, W. R. Perkins. Design of Reliable Control Systems. IEEE Transactions on Automatic Control, vol. 37, no. 3, pp. 290–304, 1992.

    Article  MATH  Google Scholar 

  9. H. N. Wu. Reliable LQ Fuzzy Control for Continuous-time Nonlinear Systems with Actuator Faults. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, vol. 34, no. 4, pp. 1743–1752, 2004.

    Article  Google Scholar 

  10. Z. Wang, B. Huang, H. Unbehauen. Robust Reliable Control for a Class of Uncertain Nonlinear State-delayed Systems. Automatica, vol. 35, no. 5, pp. 955–963, 1999.

    Article  MATH  Google Scholar 

  11. D. Yue, J. Lam. Reliable Memory Feedback Design for a Class of Non-linear Time-delay Systems. International Journal of Robust and Nonlinear Control, vol. 14, no. 1, pp. 39–60, 2004.

    Article  MATH  Google Scholar 

  12. Y. Y. Cao, Y. X. Sun, J. Lam. Delay Dependent Robust H ∞ Control for Uncertain Systems with Time Varying Delays. IEE Proceedings: Control Theory and Applications, vol. 143, no. 3, pp. 338–344, 1998.

    Article  Google Scholar 

  13. D. Yue, S. Won. Delay Dependent Robust Stability of Stochastic Systems with Time Delay and Nonlinear Uncertainties. Electronics Letters, vol. 37, no. 15, pp. 992–993, 2001.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Automation, Tsinghua University, Beijing, 100084, PRC

    You-Qing Wang & Dong-Hua Zhou

  2. Department of Automation, Northeast Dianli University, Jilin, 132012, PRC

    Li-Heng Liu

Authors
  1. You-Qing Wang
    View author publications

    Search author on:PubMed Google Scholar

  2. Dong-Hua Zhou
    View author publications

    Search author on:PubMed Google Scholar

  3. Li-Heng Liu
    View author publications

    Search author on:PubMed Google Scholar

Corresponding author

Correspondence to Dong-Hua Zhou.

Additional information

This work was supported by National Natural Science Foundation of PRC (No. 60574084), National 863 Project (No. 2006AA04Z428) and the National 973 Program (No. 2002CB312200) of PRC.

You-Qing Wang received his B.Sc. degree from Shandong University (SDU), China, in 2003. He is currently a doctor candidate in the Department of Automation, Tsinghua University. Since Feb. 2006, he has worked as research assistant in the Department of Chemical Engineering, Hong Kong University of Science and Technology (HKUST).

His research interests include faulttolerant control and fault diagnosis.

Dong-Hua Zhou received his B.Eng., M.Sci., and Ph.D. degrees all from the Department of Electrical Engineering, Shanghai Jiaotong University, in 1985, 1988 and 1990, respectively. He was an Alexander von Humboldt Research Fellow (1995–1996) in the University of Duisburg, Germany, and a visiting professor, Yale University (July 2001–Jan., 2002). He is currently a professor in the Department of Automation, and the director of the Institute of Process Control Engineering, Tsinghua University.

He publishes widely with over 140 journal publications and three monographs in the areas of process identification, diagnosis and control.

Prof. Zhou serves the profession in many capacities such as IFAC Technical Committee of Fault Diagnosis and Safety, Deputy General Secretary of Chinese Association of Automation (CAA), Council of CAA. He is also the NOC Chair of the 6th IFAC Symposium on SAFEPROCESS, 2006.

Li-Heng Liu received her B.Eng. and M.Sc. degrees both from the Department of Automation, Northeast Dianli University, in 2003 and 2006, respectively.

Her research interests include optimization and fault-tolerant control.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, YQ., Zhou, DH. & Liu, LH. Reliable memory feedback design for a class of nonlinear fuzzy systems with time-varying delay. Int J Automat Comput 4, 169–176 (2007). https://doi.org/10.1007/s11633-007-0169-2

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11633-007-0169-2

Keywords