BIBO Stabilization of Fuzzy Large-Scale Systems via State Feedback


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In this paper, the BIBO stabilization problem for a class of fuzzy large-scale systems is investigated. Based on the Lyapunov function and the LMI approach, sufficient conditions for the solvability of this problem are proposed in terms of LMIs, and an explicit expression of the desired controller is readily given when these LMIs are feasible.



Advanced Materials Research (Volumes 108-111)

Edited by:

Yanwen Wu






G. H. Li et al., "BIBO Stabilization of Fuzzy Large-Scale Systems via State Feedback", Advanced Materials Research, Vols. 108-111, pp. 386-391, 2010

Online since:

May 2010




[1] T. Takagi and M. Sugeno: IEEE Trans. On Syst., Man and Cyb. Vol. 15 (1985), p.116.

[2] R. Mohammad, I. Turksen and A. Andrew: IEEE Trans. on Fuzzy Syst. Vol. 6(1998), p.346.

[3] K. Tanaka and H. Wang: Fuzzy control systems design and analysis: A linear matrix inequality approach (John Wiley and Sons, New York 2001).

[4] M. teixeira and S. Zak: IEEE Trans. on Fuzzy Syst. Vol. 7(1999), p.133.

[5] K. Tanaka, T. Ikeda and H. Wang: IEEE Trans. on Fuzzy Syst. Vol. 6(1998), p.250.

[6] Y. Wang, Z. Sun and F. Sun: Int. J. of Contr. Auto., and Syst. Vol. 2(2004), p.76.

[7] W. Wang and L. Luo: IEEE Trans. On Fuzzy Systems Vol. 12(2004), p.309.

[8] F. Hsiao and J. Hwang: IEEE Trans. On Syst., Man and Cyb., Part B, Vol. 32(2002), p.122.

[9] X. Liu and H. Zhang: Chaos, solitons & Fractals Vol. 25(2005), p.1107.

[10] C. Tseng and B. Chen: IEEE Trans. on Fuzzy Syst. Vol. 9(2001), p.795.

[11] H. Zhang and J. Yu: Chaos, Solitions & Fractals Vol. 25(2005), p.1193.

[12] X. Liu, H. Zhang and F. Zhang: Chaos. Solitons & Fractals Vol. 26(2005), p.147.

[13] C. Li, X. Liao and H. Wang: Int. J. of General Syst. Vol. 33(2004), p.621.

[14] H. zhang, X. Liao, X. Li and J. Yu: Int. Conf. on Commu. Cir. and Syst. Vol. 2(2004), p.1401.

[15] R. Wang and W. Wang: In Proc. Of the IEEE Int. Conf. on Fuzzy Syst. 2003, p.537.

[16] C. Cao and N. Hovakimyan: IEEE Trans. on Auto. Contr. Vol. 53(2008), p.815.

[17] Y. Fu and X. Liao: IEEE Tran. on Auto. Contr. Vol. 48(2003), p.133.

[18] Z. Guan, X. Wen and Y. Liu: Appl. Math. Comput. Vol. 60(1994), p.153.

[19] P. Li, S. Zhong, and J. Cui: Chaos, Solitons & Fractals Vol. 40(2009), p.1021.

[20] P. Li and S. Zhong: Appl. Math. Comput. Vol. 195(2008), p.264.

[21] G. Michaletzky and L. Gerencs´er: IEEE Tran. on Auto. Contr. Vol. 47(2000), p.1895.

[22] R. Partington and C. Bonnet: Syst. Contr. Lett. Vol. 52 (2004), p.283.

[23] S. Shahruz and N. Sakyaman: Appl. Math. Comput. Vol. 130(2002), p.11.

[24] D. Xu, S. Zhong and M. Li: Control Theory and Appl. Vol. 12 (1995), p.758.

[25] D. Xu and S. Zhong: Dyn. of Cont., Discr. and Impul. Syst. Vol. 2 (1996), p.511.

[26] H. Wu and K. Mizukami: Int. J. Syst. Sci. Vol. 24(1993), p.265.

[27] H. Tuan, P. Apkarian and T. Narikiyo: IEEE Trans. Fuzzy Syst. Vol. 9 (2001), p.324.

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