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

Xiaoxing Chen and Manfeng Hu

Abstract and Applied Analysis, 2017, vol. 2017, issue 1

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
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2017/3273480

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2017:y:2017:i:1:n:3273480

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().