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

Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions

Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions

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:
 
 
 
 
 
IEE Proceedings - Control Theory and Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The generalised H2 control problem is investigated for a class of discrete-time fuzzy systems with uncertainties. The uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. Using basis-dependent Lyapunov functions an H2 control design approach is developed. It is shown that the controller can be obtained by solving a set of linear matrix inequalities. It is also shown that the basis-dependent results are less conservative than the basis-independent ones. Numerical examples including a discrete chaotic Lorenz system are also given to demonstrate the applicability of the proposed approach.

References

    1. 1)
      • S.G. Cao , N.W. Rees , G. Feng . Analysis and design for a class of complex systems. Part I: Fuzzy modelling and identification. Automatica , 6 , 1017 - 1028
    2. 2)
      • T. Tanaka , M. Sugeno . Stability analysis and design of fuzzy control system. Fuzzy Sets Syst. , 2 , 135 - 156
    3. 3)
      • S.G. Cao , N.W. Rees , G. Feng . Analysis and design for a class of complex control systems. Part II: Fuzzy controller design. Automatica , 1029 - 1039
    4. 4)
      • S.G. Cao , N.W. Rees , G. Feng . H∞ control of uncertain dynamical fuzzy discrete-time systems. IEEE Trans. Syst., Man. Cybern. , 802 - 812
    5. 5)
      • Y.Y. Cao , P.M. Frank . Robust H∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems. IEEE Trans. Fuzzy Syst. , 4 , 406 - 415
    6. 6)
      • T. Tanaka , T. Ikeda , H.O. Wang . Robust stabilisation of a class of uncertain nonlinear systems via fuzzy control: Quadratic stability, H∞ control theory, and linear matrix inequlities. IEEE Trans. Fuzzy Syst. , 1 - 13
    7. 7)
      • G. Feng , D. Sun . Generalized H2 controller synthesis of uncertain fuzzy dynamic systems based on piecewise Lyapunov functions. IEEE Trans. Circuits Syst. I , 1843 - 1850
    8. 8)
      • H.J. Lee , J.B. Park , G. Chen . Robust fuzzy control of nonlinear systems with parametric uncertainties. IEEE Trans. Fuzzy Syst. , 2 , 369 - 379
    9. 9)
      • Jadbabaie, A., Jamshidi, M., Titli, A.: `Guaranteed-cost design of continuous-time Takagi–Sugeno fuzzy controllers via linear matrix inequalities', Proc. of IEEE World Congress on Computational Intelligence, 1998, Anchorage, AK, p. 268–273.
    10. 10)
      • M.C. de Oliveira , J.C. Geromel , J. Bernussou . Extended H∞ and H2-norm characterisations and controller parametrisations for discrete-time systems. Int. J. Control , 9 , 666 - 679
    11. 11)
      • M.W. Haddad , S.D. Bernstein . Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis. IEEE Trans. Automat. Control , 3 , 536 - 543
    12. 12)
      • D. Choi , P. Park . H∞ state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent Lyapunov functions. IEEE Trans. Fuzzy Syst. , 271 - 278
    13. 13)
      • Guerra, T.M., Perruquetti, W.: `Nonquadratic stabilisation of discrete Takagi–Sugeno fuzzy models', Proc. of 2001 IEEE Int. Conf. on Fuzzy Systems, April 2001, p. 1271–1274.
    14. 14)
      • L. El Ghaoui , G. Scorletti . Control of rational systems using linear fractional representtions and linear matrix inequalities. Automatica , 9 , 1273 - 1284
    15. 15)
      • L. Guo . H∞ output feedback control for delay systems with nonlinear and parametric uncertainties. IEE Proc. Control Theory Appl. , 3 , 226 - 236
    16. 16)
      • L. Xie . Output feedback H∞ control of systems with parameter uncertainty. Int. J. Control , 4 , 741 - 750
    17. 17)
      • M.A. Rotea . The generalized H2 control problem. Automatica , 373 - 383
    18. 18)
      • S.S. Zhou , J. Lam . Robust stabilisation of delayed singular systems with linear fractional parametric uncertainties. Circuits Syst. Signal Process. , 6 , 579 - 588
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-cta_20045164
Loading

Related content

content/journals/10.1049/ip-cta_20045164
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address