Positive filtering for positive 2D fuzzy systems under    ℓ   1     performance | Zendy

Wang Li Qun | Zendy; Chen Xiaoming | Zendy; Shen Jun | Zendy

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Positive filtering for positive 2D fuzzy systems under ℓ 1 performance

Author(s) -

Wang Li Qun,

Chen Xiaoming,

Shen Jun

Publication year - 2019

Publication title -

iet control theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.059

H-Index - 108

eISSN - 1751-8652

pISSN - 1751-8644

DOI - 10.1049/iet-cta.2018.5211

Subject(s) - control theory (sociology) , fuzzy logic , computer science , fuzzy control system , control engineering , artificial intelligence , engineering , control (management)

In this study, the problem of positive filtering is investigated for positive two‐dimensional (2D) Roesser T–S fuzzy systems under ℓ 1‐induced performance. Error‐bounding positive filters are constructed to estimate the output of positive 2D T–S fuzzy systems. Firstly, a novel characterisation for asymptotic stability of the filtering error system with ℓ 1‐induced performance is derived. Then, based on that characterisation, sufficient conditions are derived to design the required filters expressed by linear programming problems. Finally, the theoretical results are illustrated through a numerical example.

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