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With Additive Gain Variations

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Takagi-Sugeno Fuzzy Systems Non-fragile H-infinity Filtering

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 282))

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Abstract

This chapter studies the problem of non-fragile \(H_\infty \) filter design for Takagi–Sugeno (T–S) fuzzy systems. The filters to be designed are assumed to have additive gain variations. Based on the linear matrix inequality (LMI) technique, sufficient conditions for designing the \(H_\infty \) filters are obtained for the continuous-time and discrete-time T–S fuzzy systems, respectively. It is shown that the filter gains are given from a set of linear matrix inequalities (LMIs) feasible solutions. A numerical example is provided to show the efficiency of the proposed design methods.

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References

  1. Chang XH, Yang GH (2011) Nonfragile \(H_\infty \) filtering of continuous-time fuzzy systems. IEEE Trans Signal Process 59:1528–1538

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  2. Chang X H, Yang G H (2011) Non-fragile fuzzy \(H_\infty \) filter design for nonlinear systems. In: Chinese Control and Decision Conference in Mianyang, pp 3471–3475

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  3. Gahinet P, Nemirovski A, Laub A J et al (1995) LMI control toolbox. The MathWorks Inc., Natick

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  5. Zhou S, Lam J, Xue A (2007) \(H_\infty \) filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach. Fuzzy Sets Syst 158:180–193

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Authors and Affiliations

  1. College of Engineering, Bohai University, Keji Road, Jinzhou, People’s Republic of China

    Xiao-Heng Chang

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  1. Xiao-Heng Chang
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Correspondence to Xiao-Heng Chang .

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© 2012 Springer-Verlag Berlin Heidelberg

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Chang, XH. (2012). With Additive Gain Variations. In: Takagi-Sugeno Fuzzy Systems Non-fragile H-infinity Filtering. Studies in Fuzziness and Soft Computing, vol 282. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28632-2_2

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  • DOI: https://doi.org/10.1007/978-3-642-28632-2_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28631-5

  • Online ISBN: 978-3-642-28632-2

  • eBook Packages: EngineeringEngineering (R0)

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