Title
Decentralized $H_\infty$ Sampled-Data Fuzzy Filter for Nonlinear Interconnected Oscillating Systems With Uncertain Interconnections
Abstract
This paper proposes a decentralized <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> sampled-data fuzzy filter design for nonlinear interconnected systems composed of multiple subsystems with uncertain interconnections and variable sampling intervals. The interconnected system and the decentralized filter are modeled using Takagi–Sugeno fuzzy systems. To derive the filter-design conditions, the estimation error dynamics are modeled, and the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> filter performance inequality is defined. The filter performance inequality is aimed at minimizing the ratio of the estimation error to the sum of the norm of the disturbance and oscillating system. The sufficient conditions for the filter design are derived using the Wirtinger-based integral inequality and expressed in the form of linear matrix inequalities. Finally, the performance of the proposed filter-design techniques is demonstrated through two simulation examples.
Year
DOI
Venue
2020
10.1109/TFUZZ.2019.2908151
IEEE Transactions on Fuzzy Systems
Keywords
DocType
Volume
Interconnected systems,Linear matrix inequalities,Sampled data systems,Symmetric matrices,Lyapunov methods,Estimation error,Fuzzy logic
Journal
28
Issue
ISSN
Citations 
3
1063-6706
1
PageRank 
References 
Authors
0.35
12
3
Name
Order
Citations
PageRank
junho kim1104.56
Jin Bae Park21351102.77
Young Hoon Joo373876.87