H Filtering for Nonlinear Systems with Time Delays via Takagi-Sugeno Fuzzy Model


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State estimation is an important topic in controller design. H filtering problem is discussed for fuzzy dynamical systems with time delays by using Takagi-Sugeno (T-S) model. Fuzzy H filter is obtained such that the filtering error system is stable and guarantees a prescribed estimation error level. Delay-dependent Lyapunov functional approach is employed to lower the conservativeness of the filter design. Therefore, the results of fuzzy H filter are delay-dependent. An example is given to illustrate the proposed results.



Advanced Materials Research (Volumes 557-559)

Edited by:

Hongbing Ji, Yixin Chen and Shengzhou Chen




J. S. Ren and X. K. Zhang, "H Filtering for Nonlinear Systems with Time Delays via Takagi-Sugeno Fuzzy Model", Advanced Materials Research, Vols. 557-559, pp. 2033-2038, 2012

Online since:

July 2012




[1] C.E. de Souza, L. Xie and Y. Wang: Sys. Control Lett., Vol. 20 (1993), pp.419-426.

[2] J. Hale: Functional Differential Equations (Springer-Verlag, New York 1977).

[3] E. Fridman, U. Shaked and L. Xie: IEEE Trans. Autom. Control, Vol. 48 (2003) pp.159-165.

[4] A. Wu and G. Duan, in: International Conference on Sensing, Computing and Automation, Chongqing, P. R. China, 2006, pp.798-803.

[5] H.O. Wang, J. Li and K. Tanaka: Int. J. Fuzzy Syst., Vol. 5 (2003) pp.106-113.

[6] W. Assawinchaichote and S.K. Nguang: IEEE Trans. Signal Process., vol. 52 (2004) pp.1659-1667.

[7] G. Feng: IEEE Trans. Aerosp. Electron. Syst., Vol. 41 (2005) pp.658-670.

[8] S.K. Nguang, W. Assawinchaichote, P. Shi and Y. Shi, in: American Control Conference, Portland, OR, 2005, pp.1799-1804.