Graph theory based decentralized H ∞ filtering for large-scale T-S fuzzy systems

作者: Xiao-Jian Li , Shaokun Liu , Guang-Yu Zhao , Hui-Jun Bi , Ying-Hao Sun

DOI: 10.1109/CCDC.2017.7978086

关键词: Algebraic graph theoryLyapunov functionFilter designMathematical optimizationNonlinear systemFuzzy control systemGraph theoryFuzzy logicFilter (signal processing)Mathematics

摘要: This paper is concerned with the problem of decentralized H ∞ filtering for large-scale T-S fuzzy systems, where interconnections are nonlinear and known weights. The algebraic graph theory used to construct a new Lyapunov function such that effects can be included in some constants related interconnected As result, novel scheme derived, corresponding filter synthesis conditions given terms solutions set linear matrix inequalities (LMIs). In contrast conventional schemes, assumed local linear, proposed design based on fewer rules less computational burden. Moreover, unified framework derived systems or without time-delayed interconnections. Finally, simulation example provided illustrate effectiveness advantages theoretical results.

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