http://iet.metastore.ingenta.com
1887

Sampled-data fuzzy-model-based control systems: stability analysis with consideration of analogue-to-digital converter and digital-to-analogue converter

Sampled-data fuzzy-model-based control systems: stability analysis with consideration of analogue-to-digital converter and digital-to-analogue converter

For access to this article, please select a purchase option:

Buy article PDF
$19.95
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

This study investigates the system stability of sampled-data fuzzy-model-based control systems. To conduct the stability analysis, Takagi–Sugeno (T-S) fuzzy model is employed to represent the continuous-time non-linear plant. Based on the fuzzy model, a sampled-data fuzzy controller is proposed to perform the control task. By using a digital computer or microcomputer, the sampled-data fuzzy controller can be realised at low implementation cost. However, the following difficulties are needed to be addressed to put the sampled-data fuzzy controller into practice. First, as the zero-order-hold unit keeps the system states and control signal constant during the sampling period, the immediate system states cannot be accessed to compute the required control signal as what the continuous-time fuzzy control does. Second, the analogue-to-digital and digital-to-analogue converters introduce quantisation error to the control process, which is a source of instability. Third, the sampling activity introduces discontinuity to complicate the system dynamics, which makes the stability analysis difficult. Furthermore, it is due to the sampling activity and zero-order-hold unit, the nice property of continuous-time fuzzy-model-based control system for stability analysis vanishes which leads to conservative stability analysis results. In this study, these difficulties are addressed and the system stability is investigated based on the Lyapunov stability theorem. Membership function conditions are developed to facilitate the stability analysis. An application example is presented to illustrate the effectiveness of the proposed approach.

References

    1. 1)
      • T. Takagi , M. Sugeno . Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man. Cybern. , 1 , 116 - 132
    2. 2)
      • M. Sugeno , G.T. Kang . Structure identification of fuzzy model. Fuzzy Sets Syst. , 15 - 33
    3. 3)
    4. 4)
      • C.L. Chen , P.C. Chen , C.K. Chen . Analysis and design of fuzzy control system. Fuzzy Sets Syst. , 125 - 140
    5. 5)
    6. 6)
    7. 7)
    8. 8)
      • X. Liu , Q. Zhang . New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica , 9 , 1571 - 1582
    9. 9)
    10. 10)
    11. 11)
    12. 12)
      • A. Sala , C. Ariño . Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem. Fuzzy Sets Syst. , 24 , 2671 - 2686
    13. 13)
      • X. Ban , X.Z. Gao , X. Huang , A.V. Vasilakos . Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion. Inform. Sci. , 20 , 4387 - 4409
    14. 14)
      • H. Lu , X. Huang , X.Z. Gao , X. Ban , H. Yin . Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion. J. Syst. Eng. Electron. , 2 , 311 - 319
    15. 15)
    16. 16)
      • J. Dong , G.H. Yang . State feedback control of continuous-time T–S fuzzy systems via switched fuzzy controllers. Inform. Sci. , 6 , 1680 - 1695
    17. 17)
    18. 18)
      • J.H. Kim , C.H. Hyun , E. Kim , M. Park . Adaptive synchronization of uncertain chaotic systems based on T-S fuzzy model. IEEE Trans. Fuzzy Syst. , 5 , 359 - 369
    19. 19)
    20. 20)
      • L.S. Hu , J. Lam , Y.Y. Cao , H.H. Shao . A linear matrix inequality (LMI) approach to robust H2 sampled-data control for linear uncertain systems. IEEE Trans. Syst., Man Cybern. B, Cybern. , 1 , 149 - 155
    21. 21)
    22. 22)
      • H.K. Lam , F.H.F. Leung . Sampled-data fuzzy controller for time-delay nonlinear system: LMI-based and fuzzy-model-based approaches. IEEE Trans. Syst., Man Cybern. B, Cybern. , 3 , 617 - 629
    23. 23)
    24. 24)
      • H. Gao , T. Chen . Stabilization of nonlinear systems under variable sampling: A fuzzy control approach. IEEE Trans. Fuzzy Syst. , 5 , 972 - 983
    25. 25)
    26. 26)
      • H. Katayama , A. Ichikawa . H∞ control for sampled-data nonlinear systems described by Takagi-Sugeno fuzzy systems. Fuzzy Sets Syst. , 3 , 431 - 452
    27. 27)
      • J. Yoneyama , M. Nishikawa , H. Katayama , A. Ichikawa . Output stabilization of Takagi-Sugeno fuzzy systems. Fuzzy Sets Syst. , 2 , 253 - 266
    28. 28)
      • J. Yoneyama , M. Nishikawa , H. Katayama , A. Ichikawa . Design of output feedback controllers for Takagi-Sugeno fuzzy systems. Fuzzy Sets Syst. , 1 , 127 - 148
    29. 29)
    30. 30)
    31. 31)
    32. 32)
    33. 33)
      • Lam, H.K., Leung, F.H.F.: `LMI-based stability and performance design of fuzzy control systems: fuzzy models and controllers with different premises', Proc. Int. Conf. Fuzzy Systems 2006 (FUZZ-IEEE 2006), 16–21 July 2006, Vancouver, BC, Canada, p. 9499–9506.
    34. 34)
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2008.0599
Loading

Related content

content/journals/10.1049/iet-cta.2008.0599
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address