Decentralized H∞ Sampled-Data Fuzzy Filter for Nonlinear Interconnected Oscillating Systems with Uncertain Interconnections

Ho Jun Kim; Jin Bae Park; Young Hoon Joo

doi:10.1109/TFUZZ.2019.2908151

Decentralized H_∞ Sampled-Data Fuzzy Filter for Nonlinear Interconnected Oscillating 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

20 Citations (Scopus)

Abstract

This paper proposes a decentralized H_∞ 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 H_∞ 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.

Original language	English
Article number	8676047
Pages (from-to)	487-498
Number of pages	12
Journal	IEEE Transactions on Fuzzy Systems
Volume	28
Issue number	3
DOIs	https://doi.org/10.1109/TFUZZ.2019.2908151
Publication status	Published - 2020 Mar

Bibliographical note

Funding Information:
Manuscript received October 29, 2018; revised February 4, 2019; accepted March 22, 2019. Date of publication March 28, 2019; date of current version March 2, 2020. This work was supported in part by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education under Grant NRF-2016R1A6A1A03013567 and Grant NRF-2018R1A2A2A14023632, in part by the Korea Institute of Energy Technology Evaluation and Planning (KETEP), and in part by the Ministry of Trade, Industry, and Energy (MOTIE) of the Republic of Korea under Grant 20174030201670. (Corresponding author: Jin Bae Park.) H. J. Kim and J. B. Park are with the Department of Electrical and Electronic Engineering, Yonsei University, Seoul 03722, South Korea (e-mail:, khj08121@yonsei.ac.kr; jbpark@yonsei.ac.kr).

Publisher Copyright:
© 1993-2012 IEEE.

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computational Theory and Mathematics
Artificial Intelligence
Applied Mathematics

Access to Document

10.1109/TFUZZ.2019.2908151

Cite this

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title = "Decentralized H∞ Sampled-Data Fuzzy Filter for Nonlinear Interconnected Oscillating Systems with Uncertain Interconnections",

abstract = "This paper proposes a decentralized H∞ 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 H∞ 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.",

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note = "Funding Information: Manuscript received October 29, 2018; revised February 4, 2019; accepted March 22, 2019. Date of publication March 28, 2019; date of current version March 2, 2020. This work was supported in part by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education under Grant NRF-2016R1A6A1A03013567 and Grant NRF-2018R1A2A2A14023632, in part by the Korea Institute of Energy Technology Evaluation and Planning (KETEP), and in part by the Ministry of Trade, Industry, and Energy (MOTIE) of the Republic of Korea under Grant 20174030201670. (Corresponding author: Jin Bae Park.) H. J. Kim and J. B. Park are with the Department of Electrical and Electronic Engineering, Yonsei University, Seoul 03722, South Korea (e-mail:, khj08121@yonsei.ac.kr; jbpark@yonsei.ac.kr). Publisher Copyright: {\textcopyright} 1993-2012 IEEE.",

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