Skip to main content
SpringerLink
Log in

Stabilization of Switched T-S Fuzzy Systems with Additive Time Varying Delays

  • Conference paper
  • First Online:
Proceedings of the Mediterranean Conference on Information & Communication Technologies 2015

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 380))

Abstract

This paper is concerned with the problem of robust stabilization continuous switched nonlinear systems with two additive time varying delays via Takagi-Sugeno (TS) fuzzy model approach. The stabilization conditions for nominal system are derived using Lyapunov-Krasoviskii functional approach. Sufficient conditions for the existence of fuzzy state feedback gain are formulated by linear matrix inequalities. The stabilization robustness is then investigated. Finally, a numerical example is given to show the less conservatism of the stability criteria and the effectiveness of the designed method.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

References

  1. Tse, C., Bernardo, M.D.: Complex behavior in switching power converters, vol. 90. In: IEEE Proceedings, pp. 768–781 (2002)

    Google Scholar 

  2. Pellanda, P.C., Apkarian, P., Tuan, H.D.: Missile autopilot design via a multi-channel LFT/LPV control method. Int. J. Robust Nonlinear Control 12, 1–20 (2002)

    Google Scholar 

  3. Donkers, M.C.F., Heemels, W.P.M.H., Wouw, N.V.D., Hetel, L.: Stability analysis of networked control systems using a switched linear systems approach. IEEE Trans. Autom. Control 56, 2101–2115 (2011)

    Google Scholar 

  4. Zhao, X., Zhang, L., Shi, P., Liu, M.: Stability and stabilization of switched linear systems with mode-dependent average dwell time. IEEE Trans. Autom. Control 57, 1809–1815 (2012)

    Google Scholar 

  5. Tissir, E.H.: Exponential stability and guaranteed cost of switched linear systems with mixed time-varying delays. Int. Sch. Res. Netw. ISRN Appl. Math. 2011, 14 p (2011)

    Google Scholar 

  6. Wu, H.N., Li, H.X.: New approach to delay-dependent stability analysis and stabilization for continuous-time fuzzy systems with time-varying delay. IEEE Trans. Fuzzy Syst. 15, 482–493 (2007)

    Google Scholar 

  7. Liu, F., Wu, M., Yong He, Y., Ryuichi, Y.: New delay-dependent stability criteria for T–S fuzzy systems with time-varying delay. Fuzzy Sets Syst. 161, 2033–2042 (2010)

    Google Scholar 

  8. Peng, C., Tian, Y.C., Tian, E.: Improved delay-dependent robust stabilization conditions of uncertain T–S fuzzy systems with time-varying delay. Fuzzy Sets Syst. 159, 2713–2729 (2008)

    Google Scholar 

  9. Chiou, J.S., Tsai, S.H.: Stability and stabilization of Takagi-Sugeno fuzzy switched system with time-delay. J. Syst. Control Eng. 226, 615 (2012)

    Google Scholar 

  10. Ahmida, F., Tissir, E.H.: Exponential stability of uncertain T-S fuzzy switched systems with time delay. Int. J. Autom. Comput. 10, 32–38 (2013)

    Google Scholar 

  11. Lam, J., Gao, H., Wang, C.: Stability analysis for continuos systems with two additive time-varying delay components. Syst. Control Lett. 56, 16–24 (2007)

    Google Scholar 

  12. Idrissi, S., Tissir, E.H.: Delay dependent robust stability of T-S fuzzy systems with additive time varying delays. Appl. Math. Sci. 6, 1–12 (2012)

    Google Scholar 

  13. Chaibi, N., Tissir, E.H., Hmamed, A.: Delay dependent robust stability of singular systems with additives time varying delays. Int. J. Autom. Comput. 10, 85–90 (2013)

    Google Scholar 

  14. Zabari, A., Tissir, E.H.: Stability analysis of uncertain discrete systems with two additive time delays. Appl. Math. Sci. 18, 7935–7949 (2014)

    Google Scholar 

  15. Ahmida, F., Tissir, E.H.: New stability conditions for switched uncertain T-S fuzzy systems with two additive time varying delays. Int. J. Ecol. Econ. Stat. 34, 94–103 (2014)

    Google Scholar 

  16. Idrissi, S., Tissir, E.H, Boumhidi, I., Chaibi, N.: Delay dependent robust stabilization for uncertain T-S fuzzy systems with additive time varying delays. In: Proceeding of the 8th International conference intelligent systems: Theories and applications, EMI, Rabat Morocco, pp. 65–71, 08–09 May 2013

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, LESSI, Dhar El Mehraz, B.P: 1796, 30003, Fès-Atlas, Morocco

    Fatima Ahmida & El Houssaine Tissir

Authors
  1. Fatima Ahmida
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. El Houssaine Tissir
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fatima Ahmida .

Editor information

Editors and Affiliations

  1. National School of Applied Sciences of Tangier, Abdelmalek Essaadi University, Tangier, Morocco

    Ahmed El Oualkadi

  2. Technopark el Ghazala, Sup’Com, Ghazala, Tunisia

    Fethi Choubani

  3. National School of Applied Sciences, Oujda, Mohammed Premier University, Oujda, Morocco

    Ali El Moussati

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Ahmida, F., Tissir, E.H. (2016). Stabilization of Switched T-S Fuzzy Systems with Additive Time Varying Delays. In: El Oualkadi, A., Choubani, F., El Moussati, A. (eds) Proceedings of the Mediterranean Conference on Information & Communication Technologies 2015. Lecture Notes in Electrical Engineering, vol 380. Springer, Cham. https://doi.org/10.1007/978-3-319-30301-7_42

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-30301-7_42

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30299-7

  • Online ISBN: 978-3-319-30301-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation