Skip to main content

Residual Generator for a Class of Nonlinear Systems Described by Takagi-Sugeno Models

  • Chapter
Aspects of Computational Intelligence: Theory and Applications

Abstract

The paper presents the principle of fuzzy-observer-based residual generator design for a class of continuous-time nonlinear systems represented by Takagi-Sugeno models, and measurable, as well as un-measurable premise variables. The problem addressed can be indicated as approach giving sufficient design conditions outlined in the terms of linear matrix inequalities, and possess a global stable structure. Simulation results illustrate the design procedures and demonstrate the basic performances of the proposed residual generator structures.

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
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. Bergsten, P., Palm, R., Driankov, D.: Observers for Takagi-Sugeno Fuzzy Systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 32, 114–121 (2002)

    Article  Google Scholar 

  2. Blanke, M., Kinnaert, M., Lunze, J., Staroswiecki, M.: Diagnosis and Fault-Tolerant Control. Springer, Berlin (2003)

    MATH  Google Scholar 

  3. Chen, J., Patton, R.J.: Robust Model-Based Fault Diagnosis for Dynamic Systems. Kluwer Academic Publishers, Norwell (1999)

    Book  MATH  Google Scholar 

  4. Ding, S.: Model-Based Fault Diagnosis Techniques. Design Schemes, Algorithms, and Tools. Springer, Berlin (2008)

    Google Scholar 

  5. Gao, Z., Shi, X., Ding, S.X.: Fuzzy State/Disturbance Observer Design for T-S Fuzzy Systems with Application to Sensor Fault Estimation. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 38, 875–880 (2008)

    Article  Google Scholar 

  6. Gerland, P., Gross, D., Schulte, N., Kroll, A.: Robust Adaptive Fault Detection Using Global State Information and Application to Mobile Working Machines. In: Conference on Control and Fault Tolerant Systems, Nice, France, pp. 813–818 (2010)

    Google Scholar 

  7. Ichalal, D., Marx, B., Ragot, J., Maquin, D.: Design of Observers for Takagi-Sugeno Discrete-Time Systems with Unmeasurable Premise Variables. An L2 approach. In: Proceedings of the 17th World Congress IFAC, Seoul, Korea, pp. 2768–2773 (2008)

    Google Scholar 

  8. Koshkouei, A.J., Zinober, A.S.I.: Partial Lipschitz Nonlinear Sliding Mode Observers. In: Proceedings of the 7th Mediterranean Conference on Control and Automation MED 1999, Haifa, Israel, pp. 2350–2359 (1999)

    Google Scholar 

  9. Krokavec, D., Filasová, A.: Dynamic Systems Diagnosis. Elfa, Košice (2007) (in Slovak)

    Google Scholar 

  10. Krokavec, D., Filasová, A., Hladký, V.: Design of Stable Fuzzy-Observer-Based Residual Generators for a Class of Nonlinear Systems. In: Proceedings of the 15th IEEE International Conference on Intelligent Engineering Systems INES 2011, Poprad, Slovakia, pp. 329–334 (2011)

    Google Scholar 

  11. Krokavec, D., Filasová, A., Hladký, V.: TS Fuzzy Observer-Based Residual Generators for a Class of Nonlinear Systems. In: Proceedings of the 12th IEEE International Symposium on Computational Intelligence and Informatics CINTI 2011, Budapest, Hungary, pp. 45–50 (2011)

    Google Scholar 

  12. Michels, K., Klawonn, F., Kruse, R., Nürnberger, A.: Fuzzy Control. Fundamentals, Stability and Design of Fuzzy Controllers. Springer, Berlin (2006)

    MATH  Google Scholar 

  13. Passino, K.M., Yurkovich, S.: Fuzzy Control. Addison-Wesley Longman, Berkeley (1998)

    Google Scholar 

  14. Peaucelle, D., Henrion, D., Labit, Y., Taitz, K.: User’s Guide for SeDuMi Interface 1.04. LAAS-CNRS, Toulouse (2002)

    Google Scholar 

  15. Takagi, T., Sugeno, M.: Fuzzy Identification of Systems and its Applications to Modeling and Control. IEEE Transactions on Systems, Man, and Cybernetics 15, 116–132 (1985)

    Article  MATH  Google Scholar 

  16. Tanaka, K., Wang, H.O.: Fuzzy Control Systems Design and Analysis. A Linear Matrix Inequality Approach. John Wiley & Sons, New York (2001)

    Book  Google Scholar 

  17. Thau, F.E.: Observing the State of Nonlinear Dynamical Systems. International Journal of Control 17, 471–479 (1973)

    Article  MATH  Google Scholar 

  18. Wang, H.O., Tanaka, K., Griffin, M.F.: An Approach to Fuzzy Control of Nonlinear Systems: Stability and Design Issues. IEEE Transactions on Fuzzy Systems 4, 14–23 (1996)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dušan Krokavec .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Krokavec, D., Filasová, A., Hladký, V. (2013). Residual Generator for a Class of Nonlinear Systems Described by Takagi-Sugeno Models. In: Madarász, L., Živčák, J. (eds) Aspects of Computational Intelligence: Theory and Applications. Topics in Intelligent Engineering and Informatics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30668-6_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-30668-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30667-9

  • Online ISBN: 978-3-642-30668-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics