Skip to main content

Robust Fuzzy Tracking Control of Nonlinear Systems with Uncertainty Via T-S Fuzzy Model

  • Conference paper
Fuzzy Systems and Knowledge Discovery (FSKD 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4223))

Included in the following conference series:

Abstract

This paper presents a novel robust fuzzy tracking control method for uncertain nonlinear systems. The Takagi-Sugeno fuzzy model is employed for fuzzy modeling of uncertain nonlinear system. Based on the fuzzy model, the internal model principle (IMP) is adopted to design the robust fuzzy tracking controller. Then the robust fuzzy observer is designed independently. Sufficient conditions are derived for stabilization of the robust fuzzy tracking controller and the robust fuzzy observer in the sense of Lyapunov asymptotic stability. The main contribution of this paper is the development of the robust fuzzy tracking control based on the internal model principle of uncertain nonlinear systems. A simulation example is given to illustrate the design procedures and asymptotic tracking performance of the proposed method.

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. Li, K., Thompson, S., Peng, J.: Modelling and prediction of NOx emission in a coal-fired power generation plant. Control Engineering Practice 12, 707–723 (2004)

    Article  Google Scholar 

  2. Chiang, C.-L., Su, C.-T.: Tracking control of induction motor using fuzzy phase plane controller with improved genetic algorithm. Electric Power Systems Research 2, 239–247 (2005)

    Article  Google Scholar 

  3. El, H.A., Bentalba, S.: Fuzzy path tracking control for automatic steering of vehicles. Robotics and Autonomous Systems 4, 203–213 (2003)

    Google Scholar 

  4. Marseguerra, M., Zio, E.: Model-free fuzzy tracking control of a nuclear reactor. Annals of Nuclear Energy 9, 953–981 (2003)

    Article  Google Scholar 

  5. Park, C.-W., Cho, Y.-W.: Adaptive tracking control of flexible joint manipulator based on fuzzy model reference approach. IEE Proceedings: Control Theory and Applications 2, 198–204 (2003)

    Article  Google Scholar 

  6. Tseng, C.-S., Chen, B.-S., Uang, H.-J.: Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model. IEEE Transactions on Fuzzy Systems 3, 381–392 (2001)

    Article  Google Scholar 

  7. Kim, E.: Output feedback tracking control of robot manipulators with model uncertainty via adaptive fuzzy logic. IEEE Transactions on Fuzzy Systems 3, 368–378 (2004)

    Article  Google Scholar 

  8. Tong, S.-C., Wang, T., Li, H.-X.: Fuzzy robust tracking control for uncertain nonlinear systems. International Journal of Approximate Reasoning 2, 73–90 (2002)

    Article  MathSciNet  Google Scholar 

  9. Guan, X., Chen, C.: Adaptive fuzzy control for chaotic systems with H infinity tracking performance. Fuzzy Sets and Systems 1, 81–93 (2003)

    Article  MathSciNet  Google Scholar 

  10. Yu, W.-S.: H infinity tracking-based adaptive fuzzy-neural control for MIMO uncertain robotic systems with time delays. Fuzzy Sets and Systems 3, 375–401 (2004)

    Article  Google Scholar 

  11. Chang, Y.-C.: Robust tracking control for nonlinear MIMO systems via fuzzy approaches. Automatica 10, 1535–1545 (2000)

    Article  Google Scholar 

  12. Ma, X.J., Sun, Z.Q., He, Y.Y.: Analysis and design of fuzzy controller and fuzzy observer. IEEE Transactions on Fuzzy Systems 1, 41–51 (1998)

    Google Scholar 

  13. Zhang, J., Fei, M.R.: Analysis and Design of Robust Fuzzy Controllers and Robust Fuzzy Observers of Uncertain Nonlinear Systems. In: The 6th World Congress on Intelligent Control and Automation, Dalian, China, pp. 3767–3771 (to appear, 2006)

    Google Scholar 

  14. Lee, H.J., Park, J.B., Chen, G.: Robust fuzzy control of nonlinear systems with parametric uncertainties. IEEE Transactions on Fuzzy Systems 2, 369–379 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, J., Fei, M., Yang, T., Tan, Y. (2006). Robust Fuzzy Tracking Control of Nonlinear Systems with Uncertainty Via T-S Fuzzy Model. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_21

Download citation

  • DOI: https://doi.org/10.1007/11881599_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45916-3

  • Online ISBN: 978-3-540-45917-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics