filtering for T–S fuzzy complex networks subject to sensor saturation via delayed information
- Author(s): Suying Sheng 1 and Xiaomei Zhang 1, 2
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View affiliations
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Affiliations:
1:
School of Electronics and Information , Nantong University , Nantong , People's Republic of China ;
2: The System Science Institute , Nantong University , Nantong , People's Republic of China
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Affiliations:
1:
School of Electronics and Information , Nantong University , Nantong , People's Republic of China ;
- Source:
Volume 11, Issue 14,
22
September
2017,
p.
2370 – 2382
DOI: 10.1049/iet-cta.2017.0071 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study addresses a distributed filtering problem for discrete-time Takagi–Sugeno fuzzy complex networks with sensor saturation, where nodes and filters are connected via a shared communication network. It is supposed that each node's output measurement transmitted to its filter according to Round-Robin scheduling protocol. Based on a non-parallel distributed compensation strategy, distributed filters are constructed, where the coupling matrix between filters could be different from the one between nodes and the parameters of the filters depend on current and delayed membership functions. The augmented filtering error system is represented as a discrete-time fuzzy system with time-varying delays. By applying a novel nonquadratic Lyapunov functional that depends on current and delayed membership functions, and combined with a Abel lemma-based finite-sum inequality, distributed regional filters are designed such that the local and exponential stability of the augmented filtering error system is ensured and the performance requirement is satisfied. Numerical examples illustrate the effectiveness and less conservatism of the proposed method.
Inspec keywords: H∞ filters; Lyapunov methods; network theory (graphs); asymptotic stability; fuzzy control; discrete time systems; time-varying systems; delays
Other keywords: nonparallel distributed compensation strategy; delayed membership functions; augmented filtering error system; sensor saturation; shared communication network; round-robin scheduling protocol; coupling matrix; T-S fuzzy complex networks; delayed information; exponential stability; Abel lemma-based finite-sum inequality; time-varying delays; distributed H∞ filtering problem; discrete-time Takagi–Sugeno fuzzy complex networks; nonquadratic Lyapunov functional
Subjects: Fuzzy control; Distributed parameter control systems; Stability in control theory; Combinatorial mathematics; Discrete control systems; Time-varying control systems
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