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State feedback robust stabilisation for discrete-time fuzzy singularly perturbed systems with parameter uncertainty

State feedback robust stabilisation for discrete-time fuzzy singularly perturbed systems with parameter uncertainty

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This study investigates the problem of state feedback robust stabilisation for discrete-time fuzzy singularly perturbed systems (SPSs) with parameter uncertainty. The considered system is approximated by Takagi–Sugeno fuzzy model. Based on a matrix spectral norm approach, new sufficient conditions, which ensure the existence of state feedback controller such that the resulting closed-loop system is asymptotically stable, are given. The gains of controllers are obtained by solving a set of ɛ-independent linear matrix inequalities (LMIs) such that, the ill-conditioned problems caused by ɛ can be easily avoided. In contrast to the existing results, the proposed method can be applied to both certain and uncertain SPSs with greater singular perturbation parameter ɛ. A numerical example is provided to illustrate the reduced conservatism of the authors’ results.

References

    1. 1)
    2. 2)
    3. 3)
    4. 4)
    5. 5)
    6. 6)
      • P. Mei , C. Cai , Y. Zou . Robust fuzzy control of nonlinear singularly perturbed singularly perturbed systems with parametric uncertainties. Int. J. Innov. Comput. Inf. Control , 8 , 2079 - 2086
    7. 7)
    8. 8)
      • T. Takagi , M. Sugeno . Fuzzy identification of systems and its applications to model and control. IEEE Trans. Syst. Man Cybern. , 116 - 132
    9. 9)
    10. 10)
    11. 11)
      • H.P. Liu , F.C. Sun , Z.Q. Sun . Stability analysis and synthesis of fuzzy singularly perturbed systems. IEEE Trans. Fuzzy Syst. , 3 , 273 - 284
    12. 12)
    13. 13)
    14. 14)
    15. 15)
    16. 16)
    17. 17)
      • Kim, B.S., Kim, Y.J., Lim, M.T.: `LQG control for nonstandard singularly perturbed discrete-time systems', Proc. IEEE Int. Conf. on Decision and Control, 2002, 4, p. 3736–3741.
    18. 18)
    19. 19)
    20. 20)
    21. 21)
    22. 22)
    23. 23)
    24. 24)
      • McClamroch, N.H.: `A singular perturbation approach to modeling and control of manipulators constrained by a stiff environment', Proc. IEEE Conf. on Decision and Control, December 1989, 3, p. 2407–2411.
    25. 25)
    26. 26)
    27. 27)
    28. 28)
    29. 29)
      • Jia, H., Zhang, X.D., Sun, H.X.: `Active control of space flexible-joint/flexible-link manipulator', Proc. IEEE Conf. on Robotics Automation and Mechatronics, 21–24 September 2008, p. 812–818.
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