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Linearization of T-S fuzzy systems and robust H ∞ control

Journal of Central South University of Technology volume 18, pages 140–145 (2011)Cite this article

Abstract

Takagi-Sugeno (T-S) fuzzy model is difficult to be linearized because of membership functions included. So, novel T-S fuzzy state transformation and T-S fuzzy feedback are proposed for the linearization of T-S fuzzy system. The novel T-S fuzzy state transformation is the fuzzy combination of local linear transformation which transforms local linear models in the T-S fuzzy model into the local linear controllable canonical models. The fuzzy combination of local linear controllable canonical model gives controllable canonical T-S fuzzy model and then nonlinear feedback is obtained easily. After the linearization of T-S fuzzy model, a robust H ∞ controller with the robustness of sliding model control (SMC) is designed. As a result, controlled T-S fuzzy system shows the performance of H ∞ control and the robustness of SMC.

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Authors and Affiliations

  1. School of Mechatronics, Changwon National University, Changwon, 641-773, Korea

    Tae-Sung Yoon, Fa-guang Wang  (王法广), Seung-Kyu Park, Gun-Pyong Kwak & Ho-Kyun Ahn

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  1. Tae-Sung Yoon
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  2. Fa-guang Wang  (王法广)
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  3. Seung-Kyu Park
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  4. Gun-Pyong Kwak
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  5. Ho-Kyun Ahn
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Correspondence to Tae-Sung Yoon.

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Foundation item: Research financially supported by Changwon National University in 2009

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Yoon, TS., Wang, Fg., Park, SK. et al. Linearization of T-S fuzzy systems and robust H ∞ control. J. Cent. South Univ. Technol. 18, 140–145 (2011). https://doi.org/10.1007/s11771-011-0671-0

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  • DOI: https://doi.org/10.1007/s11771-011-0671-0

Key words

  • T-S fuzzy control
  • linearization
  • H∞ control
  • sliding mode control