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Robust stabilization of T-S fuzzy systems via improved integral inequality

  • Fuzzy systems and their mathematics
  • Published:
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Abstract

This paper addressed the robust stabilization performance of Takagi–Sugeno (T-S) fuzzy systems under a state feedback controller. To attain this, an integral inequality is proposed by rearranging the quadratic matrix-vector form combined with Jensen’s inequality to handle the single integral terms obtained by taking the derivative of the concerned Lyapunov–Krasovskii functional. By employing this integral inequality and by using integral inequality techniques, some improved delay-dependent stability and stabilization results are established in terms of linear matrix inequalities for the proposed T-S fuzzy model. Finally, some numerical examples are provided to facilitate the feasibility and less conservativeness of the proposed theoretical results.

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Acknowledgements

None of the authors of this manuscript have a financial or personal relationship with other people or organizations that could inappropriately influence or bias the content of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Dindigul, Tamil Nadu, India

    C. Karthik & G. Nagamani

  2. Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, Andhra Pradesh, India

    Ramasamy Subramaniyam

  3. Department of Mathematics Education, University of Jember, Jember, 68121, Indonesia

    Dafik

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  1. C. Karthik
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  2. G. Nagamani
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  3. Ramasamy Subramaniyam
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  4. Dafik
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Karthik, C., Nagamani, G., Subramaniyam, R. et al. Robust stabilization of T-S fuzzy systems via improved integral inequality. Soft Comput 26, 349–360 (2022). https://doi.org/10.1007/s00500-021-06544-0

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