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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.

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Handle: RePEc:wly:jnlaaa:v:2017:y:2017:i:1:n:3273480
DOI: 10.1155/2017/3273480
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