Fault detection for T-S fuzzy discrete systems in finite-frequency domain

Hongjiu Yang; Yuanqing Xia; Bo Liu

doi:10.1109/TSMCB.2010.2099653

Fault detection for T-S fuzzy discrete systems in finite-frequency domain

Hongjiu Yang^*
, Yuanqing Xia
, Bo Liu

^*Corresponding author for this work

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

144 Scopus citations

Abstract

This paper investigates the problem of fault detection for Takagi-Sugeno (T-S) fuzzy discrete systems in finite-frequency domain. By means of the T-S fuzzy model, both a fuzzy fault detection filter system and the dynamics of filtering error generator are constructed. Two finite-frequency performance indices are introduced to measure fault sensitivity and disturbance robustness. Faults are considered in a middle frequency domain, while disturbances are considered in another certain finite-frequency domain interval. By using the generalized Kalman-Yakubovič-Popov Lemma in a local linear system model, the design methods are presented in terms of solutions to a set of linear matrix inequalities, which can be readily solved via standard numerical software. The design problem is formulated as a two-objective optimization algorithm. A numerical example is given to illustrate the effectiveness and potential of the developed techniques.

Original language	English
Article number	5696767
Pages (from-to)	911-920
Number of pages	10
Journal	IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Volume	41
Issue number	4
DOIs	https://doi.org/10.1109/TSMCB.2010.2099653
State	Published - Aug 2011
Externally published	Yes

Bibliographical note

Funding Information:
Manuscript received May 25, 2010; revised September 10, 2010 and November 20, 2010; accepted December 5, 2010. Date of publication January 20, 2011; date of current version July 20, 2011. This work was supported in part by the National Natural Science Foundation of China under Grant 60974011, in part by the Program for New Century Excellent Talents in University of the Peoples Republic of China (NCET-08-0047), in part by the Ph.D. Programs Foundation of the Ministry of Education of China (20091101110023), in part by the Program for Changjiang Scholars and Innovative Research Team in University, and in part by the Beijing Municipal Natural Science Foundation (4102053). This paper was recommended by Associate Editor P. Shi.

Keywords

Fault detection
Kalman-Yakubovič-Popov (KYP) Lemma
Takagi-Sugeno (T-S) fuzzy model
finite-frequency domain
linear matrix inequality (LMI)

ASJC Scopus subject areas

Control and Systems Engineering
Software
Information Systems
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TSMCB.2010.2099653

Cite this

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title = "Fault detection for T-S fuzzy discrete systems in finite-frequency domain",

abstract = "This paper investigates the problem of fault detection for Takagi-Sugeno (T-S) fuzzy discrete systems in finite-frequency domain. By means of the T-S fuzzy model, both a fuzzy fault detection filter system and the dynamics of filtering error generator are constructed. Two finite-frequency performance indices are introduced to measure fault sensitivity and disturbance robustness. Faults are considered in a middle frequency domain, while disturbances are considered in another certain finite-frequency domain interval. By using the generalized Kalman-Yakubovi{\v c}-Popov Lemma in a local linear system model, the design methods are presented in terms of solutions to a set of linear matrix inequalities, which can be readily solved via standard numerical software. The design problem is formulated as a two-objective optimization algorithm. A numerical example is given to illustrate the effectiveness and potential of the developed techniques.",

keywords = "Fault detection, Kalman-Yakubovi{\v c}-Popov (KYP) Lemma, Takagi-Sugeno (T-S) fuzzy model, finite-frequency domain, linear matrix inequality (LMI)",

author = "Hongjiu Yang and Yuanqing Xia and Bo Liu",

note = "Funding Information: Manuscript received May 25, 2010; revised September 10, 2010 and November 20, 2010; accepted December 5, 2010. Date of publication January 20, 2011; date of current version July 20, 2011. This work was supported in part by the National Natural Science Foundation of China under Grant 60974011, in part by the Program for New Century Excellent Talents in University of the Peoples Republic of China (NCET-08-0047), in part by the Ph.D. Programs Foundation of the Ministry of Education of China (20091101110023), in part by the Program for Changjiang Scholars and Innovative Research Team in University, and in part by the Beijing Municipal Natural Science Foundation (4102053). This paper was recommended by Associate Editor P. Shi.",

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N2 - This paper investigates the problem of fault detection for Takagi-Sugeno (T-S) fuzzy discrete systems in finite-frequency domain. By means of the T-S fuzzy model, both a fuzzy fault detection filter system and the dynamics of filtering error generator are constructed. Two finite-frequency performance indices are introduced to measure fault sensitivity and disturbance robustness. Faults are considered in a middle frequency domain, while disturbances are considered in another certain finite-frequency domain interval. By using the generalized Kalman-Yakubovič-Popov Lemma in a local linear system model, the design methods are presented in terms of solutions to a set of linear matrix inequalities, which can be readily solved via standard numerical software. The design problem is formulated as a two-objective optimization algorithm. A numerical example is given to illustrate the effectiveness and potential of the developed techniques.

AB - This paper investigates the problem of fault detection for Takagi-Sugeno (T-S) fuzzy discrete systems in finite-frequency domain. By means of the T-S fuzzy model, both a fuzzy fault detection filter system and the dynamics of filtering error generator are constructed. Two finite-frequency performance indices are introduced to measure fault sensitivity and disturbance robustness. Faults are considered in a middle frequency domain, while disturbances are considered in another certain finite-frequency domain interval. By using the generalized Kalman-Yakubovič-Popov Lemma in a local linear system model, the design methods are presented in terms of solutions to a set of linear matrix inequalities, which can be readily solved via standard numerical software. The design problem is formulated as a two-objective optimization algorithm. A numerical example is given to illustrate the effectiveness and potential of the developed techniques.

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Fault detection for T-S fuzzy discrete systems in finite-frequency domain

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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