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

Xiaoxing Chen and Manfeng Hu

Abstract and Applied Analysis, 2017, vol. 2017, 1-12

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:3273480

DOI: 10.1155/2017/3273480

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