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Lee, Kap Rai; Jeung, Eun Tae; Park, Hong Bae

Robust fuzzy \(H^\infty\) control for uncertain nonlinear systems via state feedback: An LMI approach. (English) Zbl 0974.93546

Fuzzy Sets Syst. 120, No. 1, 123-134 (2001).

Cited in 24 Documents

MSC:

93C42 Fuzzy control/observation systems
93B36 \(H^\infty\)-control
15A39 Linear inequalities of matrices

Software:

LMI toolbox
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\textit{K. R. Lee} et al., Fuzzy Sets Syst. 120, No. 1, 123--134 (2001; Zbl 0974.93546)
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References:

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[3] Chen, B.S.; Lee, C.H.; Chang, Y.C., \(H\^{}\{∞\}\) tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach, IEEE trans. fuzzy system, 4, 32-43, (1996)
[4] Chen, C.L., Analysis and design of fuzzy control systems, Fuzzy sets and systems, 57, 125-140, (1993) · Zbl 0792.93079
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[9] Tanaka, K.; Sano, M., A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer, IEEE trans. fuzzy systems, 2, 119-134, (1994)
[10] Tanaka, K.; Sugeno, M., Stability analysis and design of fuzzy control systems, Fuzzy sets and systems, 45, 135-156, (1992) · Zbl 0758.93042
[11] Tanaka, K.; Ikeda, T.; Wang, H.O., Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, \(H\^{}\{∞\}\) control theory, and linear matrix inequalities, IEEE trans. fuzzy systems, 4, 1-13, (1996)
[12] K. Tanaka, T. Ikeda, H.O. Wang, Fuzzy control system design via LMIs, Proc. American Contr. Conf., vol. 5, 1997, pp. 2873-2877.
[13] Wang, H.O.; Tanaka, K.; Griffin, M.F., An approach to fuzzy control of nonlinear systemsstability and design issues, IEEE trans. fuzzy systems, 4, 14-23, (1996)
[14] Xie, L.; de Souza, C.E., Robust \(H∞\) control for linear systems with norm bounded time varying uncertainty, IEEE trans. automat. control, 37, 1188-1191, (1992) · Zbl 0764.93027
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