Decentralized H∞ fuzzy filter for nonlinear large-scale sampled-data systems with uncertain interconnections

Ho Jun Kim; Jin Bae Park; Young Hoon Joo

doi:10.1016/j.fss.2017.10.010

Decentralized H_∞ fuzzy filter for nonlinear large-scale sampled-data systems with uncertain interconnections

Ho Jun Kim, Jin Bae Park, Young Hoon Joo

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

This paper proposes a decentralized H_∞ fuzzy filter technique for nonlinear large-scale interconnected systems that are based on the Takagi–Sugeno fuzzy model. The large-scale system has unknown interconnection terms that are assumed to satisfy the quadratic bounds. An error system between the nonlinear large-scale system and the decentralized filter is constructed. By using the fuzzy Lyapunov technique, sufficient conditions are proposed for both showing asymptotic stability and guaranteeing H_∞ fuzzy filter performance. These sufficient conditions are derived in terms of linear matrix inequalities. Finally, simulation examples are given to demonstrate the effectiveness of the proposed technique.

Original language	English
Pages (from-to)	145-162
Number of pages	18
Journal	Fuzzy Sets and Systems
Volume	344
DOIs	https://doi.org/10.1016/j.fss.2017.10.010
Publication status	Published - 2018 Aug 1

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) ( NRF-2015R1A2A2A05001610 ) and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education ( NRF-2016R1A6A1A03013567 ).

Publisher Copyright:
© 2017 Elsevier B.V.

All Science Journal Classification (ASJC) codes

Logic
Artificial Intelligence

Access to Document

10.1016/j.fss.2017.10.010

Cite this

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title = "Decentralized H∞ fuzzy filter for nonlinear large-scale sampled-data systems with uncertain interconnections",

abstract = "This paper proposes a decentralized H∞ fuzzy filter technique for nonlinear large-scale interconnected systems that are based on the Takagi–Sugeno fuzzy model. The large-scale system has unknown interconnection terms that are assumed to satisfy the quadratic bounds. An error system between the nonlinear large-scale system and the decentralized filter is constructed. By using the fuzzy Lyapunov technique, sufficient conditions are proposed for both showing asymptotic stability and guaranteeing H∞ fuzzy filter performance. These sufficient conditions are derived in terms of linear matrix inequalities. Finally, simulation examples are given to demonstrate the effectiveness of the proposed technique.",

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