Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/87076
Title: H∞ Stabilization for Sampling Fuzzy Systems With Asynchronous Constraints on Membership Functions
Authors: Cheng, Wenbin
Wang, Dongshu
Zhu, Xun-Lin
Wang, Youyi
Keywords: Takagi-Sugeno (T-S) Fuzzy Systems
Sampled-data Control
Issue Date: 2017
Source: Cheng, W., Wang, D., Zhu, X.-L., & Wang, Y. (2017). H∞ Stabilization for Sampling Fuzzy Systems With Asynchronous Constraints on Membership Functions. IEEE Access, 5, 1524-1533.
Series/Report no.: IEEE Access
Abstract: This paper investigates the problem of H∞ stabilization for nonuniform sampling fuzzy systems. To achieve better performance, a parallel distributed compensation scheme is proposed to design a nonlinear controller. By taking the deviation bounds of asynchronous normalized membership functions into account, the H∞ stability criterion is first obtained, which is dependent on the deviation bounds of asynchronous normalized membership functions. To reduce the computational complexity, a method for eliminating slack variables and a structured vertex separator for reducing the number of linear matrix inequalities are provided, and then an H∞ stabilization criterion with less complexity and less conservatism is obtained. Finally, an illustrative example is given to show the effectiveness of the proposed method and the significant improvement on the existing results.
URI: https://hdl.handle.net/10356/87076
http://hdl.handle.net/10220/44285
DOI: http://dx.doi.org/10.1109/ACCESS.2017.2656378
Rights: © 2017 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.
metadata.item.grantfulltext: open
metadata.item.fulltext: With Fulltext
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