Title :
Nonfragile Distributed Filtering for T–S Fuzzy Systems in Sensor Networks
Author :
Dan Zhang ; Wenjian Cai ; Lihua Xie ; Qing-Guo Wang
Author_Institution :
Dept. of Autom., Zhejiang Univ. of Technol., Hangzhou, China
Abstract :
This paper is concerned with the nonfragile distributed H∞ filtering problem for a class of discrete-time Takagi-Sugeno (T-S) systems in sensor networks. Additive filter gain uncertainties that reflect imprecision in filter implementation are considered. Based on the robust control approach, sufficient conditions are obtained to ensure that the filtering error system is asymptotically stable with a prescribed H∞ performance level and the eigenvalues of the filtering error system in a given circular region. The filter parameters are determined by solving a set of linear matrix inequalities. A simulation study on the nonlinear tunnel diode circuit system is presented to show the effectiveness of the proposed design method.
Keywords :
H∞ filters; eigenvalues and eigenfunctions; fuzzy systems; linear matrix inequalities; robust control; tunnel diodes; wireless sensor networks; T-S fuzzy systems; additive filter gain uncertainty; circular region; discrete-time Takagi-Sugeno systems; eigenvalues system; filtering error system; linear matrix inequalities; nonfragile distributed H∞ filtering problem; nonlinear tunnel diode circuit system; robust control; sensor networks; Additives; Educational institutions; Fuzzy systems; Linear matrix inequalities; Noise; Nonlinear systems; Uncertainty; Distributed $H_infty$ filtering; distributed H1 filtering; linear matrix inequality; linear matrix inequality (LMI); non-fragile filtering; nonfragile filtering; pole assignment; sensor networks;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2014.2367101
