Observer-based H∞ fuzzy controller design of interval type-2 Takagi-Sugeno fuzzy systems under imperfect premise matching

Sounghwan Hwang; Jin Bae Park; Young Hoon Joo

doi:10.5370/KIEE.2017.66.11.1620

Observer-based H∞ fuzzy controller design of interval type-2 Takagi-Sugeno fuzzy systems under imperfect premise matching

Sounghwan Hwang, Jin Bae Park, Young Hoon Joo

Department of Electrical and Electronic Engineering

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

1 Citation (Scopus)

Abstract

In this paper, we design an observer-based H∞ fuzzy controller for interval type-2 Takagi-Sugeno (T-S) fuzzy systems under imperfect premise matching. The designed observer-based controller can effectively estimate the state of the system and make fuzzy system satisfy the H∞ disturbance attenuation performance. Using the slack matrix, the derived stabilization condition is expressed in terms of a linear matrix inequality. Finally, the effectiveness of the proposed method is verified through a simulation example.

Original language	English
Pages (from-to)	1620-1627
Number of pages	8
Journal	Transactions of the Korean Institute of Electrical Engineers
Volume	66
Issue number	11
DOIs	https://doi.org/10.5370/KIEE.2017.66.11.1620
Publication status	Published - 2017

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© 2017 The Korean Institute of Electrical Engineers.

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.5370/KIEE.2017.66.11.1620

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abstract = "In this paper, we design an observer-based H∞ fuzzy controller for interval type-2 Takagi-Sugeno (T-S) fuzzy systems under imperfect premise matching. The designed observer-based controller can effectively estimate the state of the system and make fuzzy system satisfy the H∞ disturbance attenuation performance. Using the slack matrix, the derived stabilization condition is expressed in terms of a linear matrix inequality. Finally, the effectiveness of the proposed method is verified through a simulation example.",

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AB - In this paper, we design an observer-based H∞ fuzzy controller for interval type-2 Takagi-Sugeno (T-S) fuzzy systems under imperfect premise matching. The designed observer-based controller can effectively estimate the state of the system and make fuzzy system satisfy the H∞ disturbance attenuation performance. Using the slack matrix, the derived stabilization condition is expressed in terms of a linear matrix inequality. Finally, the effectiveness of the proposed method is verified through a simulation example.

KW - H∞ Control

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KW - Lyapunov function

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Observer-based H∞ fuzzy controller design of interval type-2 Takagi-Sugeno fuzzy systems under imperfect premise matching

Abstract

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