Skip to main content
SpringerLink
Log in

Adaptive fuzzy sliding mode controller for a class of SISO nonlinear time-delay systems

  • Methodologies and Application
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

In this paper, we propose an adaptive fuzzy controller for a class of nonlinear SISO time-delay systems. The plant model structure is represented by a Takagi–Sugeno (T–S) type fuzzy system. The T–S fuzzy model parameters are adjusted online. The proposed algorithm utilizes the sliding surface to adjust online the parameters of T–S fuzzy model. The controller is based on adjustable T–S fuzzy parameters model and sliding mode theory. The stability analysis of the closed-loop system is based on the Lyapunov approach. The plant state follows asymptotically any bounded reference signal. Two examples have been used to check performances of the proposed fuzzy adaptive control scheme.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  • Abid H, Chtourou M, Toumi A (2006) Indirect adaptive fuzzy control scheme based on Lyapunov approach for a class of SISO nonlinear systems. Stud Inf Control 15(1):79–92

    Google Scholar 

  • Abid H, Chtourou M, Toumi A (2012) Direct fuzzy adaptive control based on sliding surface for a class of SISO non-linear systems. Int J Model Identifi Control 16(1):70–78

    Article  Google Scholar 

  • Cao SG, Rees NW, Feng G (2001) Universal fuzzy controllers for a class of nonlinear systems. Fuzzy Sets Syst 122:117–123

    Article  MATH  MathSciNet  Google Scholar 

  • Ge SS, Hong F, Lee TH (2004) Adaptive neural control of nonlinear time-delay systems with unknown virtual control coeffcients. IEEE Trans Syst Man Cybern 34:499–516

    Article  Google Scholar 

  • Ho SWC, Li J, Niu YG (2005) Adaptive neural control for a class of nonlinearly parametric time-delay systems. IEEE Trans Neural Netw 16:625–635

    Article  Google Scholar 

  • Huang CP (2012) Model based fuzzy control with affine T-S delayed models applied to nonlinear systems. Int J Innova Comput Inf control 8(5):2979–2993

    Google Scholar 

  • Kim E, Kim S (2002) Stability analysis and synthesis for an affine fuzzy control system via LMI and ILMI: continuous case. IEEE Trans Fuzzy Syst 10(3):391–400

    Article  Google Scholar 

  • Lam HK, Leung FHF (2008) Stability analysis of discrete-time fuzzy-model-based control systems with time delay: Time delay-independent approach. Fuzzy Sets Syst 159:990–1000

  • Li L, Liu XD (2009) New results on delay-dependent robust stability criteria of uncertain fuzzy systems with state and input delays. Inf Sci 179:1134–1148

    Article  MATH  Google Scholar 

  • Li Y, Ren C, Tong S (2012) Adaptive fuzzy backstepping output feedback control of nonlinear uncertain time-delay systems based on high gain filters. Nonlinear Dyn 69:781–792

    Article  MATH  MathSciNet  Google Scholar 

  • Narendra KS, Annaswamy AM (1989) Stable adaptive systems. Prentice Hall, Englewood Cliffs

    MATH  Google Scholar 

  • Niu Y, Lam J, Wang X (2005) Adaptive H\(\infty \) control using backstepping and neural networks. J Dyn Syst Meas Control 127:313–326

    Article  Google Scholar 

  • Ordóñez R, Zumberge J, Spooner JT, Passino KM (1997) Adaptive fuzzy control: experiments and comparative analyses. Trans Fuzzy Syst 5(2):176–188

    Google Scholar 

  • Sira-Ramirez H (1988) Structure at infinity, zero dynamics and normal forms of systems undergoing sliding motion. Int J Syst Sci 21(4):665–674

    Article  MathSciNet  Google Scholar 

  • Slotine J-JE, Li W (1991) Applied nonlinear control. Prentice-Hall, Englewood Cliffs

    MATH  Google Scholar 

  • Song XN, Xu SY, Shen H (2008) Robust H\(\infty \) control for uncertain fuzzy systems with distributed delays via output feedback controllers. Inf Sci 178:4341–4356

    Article  MATH  MathSciNet  Google Scholar 

  • Sugeno M, Tanaka K (1991) Successive identification of fuzzy model and its applications to prediction of complex system. Fuzzy Sets Syst 42:315–344

    Article  MATH  MathSciNet  Google Scholar 

  • Wang HO, Tanaka K, Griffin MF (1996) An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans Fuzzy Syst 4(1):14–23

  • Wang M, Chen B, Liu XP, Shi P (2008) Adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear time-delay systems. Fuzzy Sets Syst 159:949–967

    Article  MATH  MathSciNet  Google Scholar 

  • Ying H (1998) General SISO Takagi-Sugeno fuzzy systems with linear rule consequent are universal approximators. IEEE Trans Fuzzy Syst 6(4):582–1587

    Article  Google Scholar 

  • Zhu Q, Song A-G, Zhang TP, Yang Y-Q (2012) Fuzzy adaptive control of delayed high order nonlinear systems. Int J Autom Comput 9(2):191–199

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. ENIS Sfax, Laboratory of Sciences and Techniques of Automatic control & computer engineering (Lab-STA), Sfax, Tunisia

    Hafedh Abid & Ahmed Toumi

Authors
  1. Hafedh Abid
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ahmed Toumi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hafedh Abid.

Additional information

Communicated by V. Loia.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abid, H., Toumi, A. Adaptive fuzzy sliding mode controller for a class of SISO nonlinear time-delay systems. Soft Comput 20, 649–659 (2016). https://doi.org/10.1007/s00500-014-1529-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-014-1529-9

Keywords

Search

Navigation