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Piecewise generalised H2 controller synthesis of discrete-time fuzzy systems

Piecewise generalised H2 controller synthesis of discrete-time fuzzy systems

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A generalised H2 controller synthesis method for discrete-time fuzzy systems based on a piecewise Lyapunov function is presented. The basic idea of the proposed approach is to construct a controller for the discrete-time fuzzy systems in such a way that a piecewise Lyapunov function can be used to establish global stability with generalised H2 performance for the resulting closed-loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of linear matrix inequalities that are numerically tractable with commercially available software. An example is presented to demonstrate the advantage of the proposed approach.

References

    1. 1)
    2. 2)
      • K. Zeng , N.Y. Zhang , W.L. Xu . A comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as universal approximators. IEEE Trans. Fuzzy Syst. , 773 - 780
    3. 3)
      • L. Wang , G. Feng . Piecewise H∞ controller design of discrete time fuzzy systems. IEEE Trans. Syst. Man Cybern. B, Cybern. , 682 - 686
    4. 4)
      • Yang, J.N., Lin, S., Jabbari, F.: `Performance-based controller for civil engineering structures', Proc. American Control Conf., 2001, p. 1083–1088.
    5. 5)
    6. 6)
      • P. Gahinet , A. Nemirovski , A. Laub , M. Chilali . (1995) The LMI Control Toolbox.
    7. 7)
      • Feng, G.: `Universal fuzzy controllers for discrete-time systems', Proc. 39th IEEE Conf. on Decision and Control, 2000, p. 394–395.
    8. 8)
      • K. Tanaka , M. Sugeno . Stability analysis and design of fuzzy control systems. Fuzzy Sets Syst. , 135 - 156
    9. 9)
      • Ferrari-Trecate, G., Cuzzola, F.A., Mignone, D., Morari, M.: `Analysis and control with performance of piecewise affine and hybrid systems', Proc. American Control Conf., 2001, p. 200–205.
    10. 10)
    11. 11)
    12. 12)
      • T. Takaki , M. Sugeno . Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. , 116 - 132
    13. 13)
    14. 14)
    15. 15)
      • D.A. Wilson , J.E. Rubio . Computation of generalized H2 optimal controllers. Int. J. Control , 999 - 1012
    16. 16)
    17. 17)
      • Apkarian, P., Becker, G., Gahinet, P., Kajiwara, H.: Presented at the Workshop on LMIs in the 35th IEEE Conf. on Decision and Control, 1996, Kobe, Japan.
    18. 18)
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