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Finite-Time Stability and Controller Design of Continuous-Time Polynomial Fuzzy Systems

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  • Xiaoxing Chen
  • Manfeng Hu

Abstract

Finite-time stability and stabilization problem is first investigated for continuous-time polynomial fuzzy systems. The concept of finite-time stability and stabilization is given for polynomial fuzzy systems based on the idea of classical references. A sum-of-squares- (SOS-) based approach is used to obtain the finite-time stability and stabilization conditions, which include some classical results as special cases. The proposed conditions can be solved with the help of powerful Matlab toolbox SOSTOOLS and a semidefinite-program (SDP) solver. Finally, two numerical examples and one practical example are employed to illustrate the validity and effectiveness of the provided conditions.

Suggested Citation

  • Xiaoxing Chen & Manfeng Hu, 2017. "Finite-Time Stability and Controller Design of Continuous-Time Polynomial Fuzzy Systems," Abstract and Applied Analysis, Hindawi, vol. 2017, pages 1-12, December.
    • Handle: RePEc:hin:jnlaaa:3273480
    DOI: 10.1155/2017/3273480
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    Cited by:

    1. Jiang Wu & Yujie Xu & Hao Xie & Yao Zou, 2023. "Finite-Time Bounded Tracking Control for a Class of Neutral Systems," Mathematics, MDPI, vol. 11(5), pages 1-16, February.

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