Fault Detection for Linear Discrete Time-Varying Systems Subject to Random Sensor Delay: A Riccati Equation Approach

This paper mainly studies the fault detection (FD) problem for linear discrete time-varying systems subject to random sensor delay. By assuming that the measurement channel is with Transmission Control Protocol (TCP), an observer-based FD filter (FDF) is provided as a residual generator via embeddin...

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Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 65; no. 5; pp. 1707 - 1716
Main Authors Li, Yueyang, Karimi, Hamid Reza, Zhang, Qin, Zhao, Dong, Li, Yibin
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Circuit faults
Delay
Delays
Discrete time systems
Fault detection
Formulas (mathematics)
Mathematical analysis
Performance analysis
Performance indices
Protocols
random sensor delay
Riccati equation
Riccati equations
TCP
TCP (protocol)
Time varying control systems
time-varying system
Time-varying systems
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Abstract This paper mainly studies the fault detection (FD) problem for linear discrete time-varying systems subject to random sensor delay. By assuming that the measurement channel is with Transmission Control Protocol (TCP), an observer-based FD filter (FDF) is provided as a residual generator via embedding the packet indicator into the filter. To construct this FDF, its design issue is formulated into two sub-problems. One is to maximize the <inline-formula> <tex-math notation="LaTeX">\mathcal {H}_{-}/\mathcal {H}_{\infty } </tex-math></inline-formula> or <inline-formula> <tex-math notation="LaTeX">\mathcal {H}_{\infty }/\mathcal {H}_{\infty } </tex-math></inline-formula> FD performance index, which aims to enhance the ratio of fault sensitivity/disturbance attenuation. The other one is to find the filter parameter matrices such that the error between the residual and the fault is minimized in the <inline-formula> <tex-math notation="LaTeX">\mathcal {H}_{\infty } </tex-math></inline-formula> sense. By employing stochastic analysis and introducing some adjoint operator based optimization approaches, analytical solutions to the aforementioned FDF design problem are derived via solving recursive Riccati equations. An illustrative example is given to show the effectiveness of the proposed methodologies.
AbstractList This paper mainly studies the fault detection (FD) problem for linear discrete time-varying systems subject to random sensor delay. By assuming that the measurement channel is with Transmission Control Protocol (TCP), an observer-based FD filter (FDF) is provided as a residual generator via embedding the packet indicator into the filter. To construct this FDF, its design issue is formulated into two sub-problems. One is to maximize the H-/H∞ or H∞/H∞ FD performance index, which aims to enhance the ratio of fault sensitivity/disturbance attenuation. The other one is to find the filter parameter matrices such that the error between the residual and the fault is minimized in the H∞ sense. By employing stochastic analysis and introducing some adjoint operator based optimization approaches, analytical solutions to the aforementioned FDF design problem are derived via solving recursive Riccati equations. An illustrative example is given to show the effectiveness of the proposed methodologies.
This paper mainly studies the fault detection (FD) problem for linear discrete time-varying systems subject to random sensor delay. By assuming that the measurement channel is with Transmission Control Protocol (TCP), an observer-based FD filter (FDF) is provided as a residual generator via embedding the packet indicator into the filter. To construct this FDF, its design issue is formulated into two sub-problems. One is to maximize the <inline-formula> <tex-math notation="LaTeX">\mathcal {H}_{-}/\mathcal {H}_{\infty } </tex-math></inline-formula> or <inline-formula> <tex-math notation="LaTeX">\mathcal {H}_{\infty }/\mathcal {H}_{\infty } </tex-math></inline-formula> FD performance index, which aims to enhance the ratio of fault sensitivity/disturbance attenuation. The other one is to find the filter parameter matrices such that the error between the residual and the fault is minimized in the <inline-formula> <tex-math notation="LaTeX">\mathcal {H}_{\infty } </tex-math></inline-formula> sense. By employing stochastic analysis and introducing some adjoint operator based optimization approaches, analytical solutions to the aforementioned FDF design problem are derived via solving recursive Riccati equations. An illustrative example is given to show the effectiveness of the proposed methodologies.
Author Zhao, Dong
Karimi, Hamid Reza
Zhang, Qin
Li, Yibin
Li, Yueyang
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  organization: School of Control Science and Engineering, Shandong University, Jinan, China
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Snippet This paper mainly studies the fault detection (FD) problem for linear discrete time-varying systems subject to random sensor delay. By assuming that the...
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SubjectTerms Circuit faults
Delay
Delays
Discrete time systems
Fault detection
Formulas (mathematics)
Mathematical analysis
Performance analysis
Performance indices
Protocols
random sensor delay
Riccati equation
Riccati equations
TCP
TCP (protocol)
Time varying control systems
time-varying system
Time-varying systems
Title Fault Detection for Linear Discrete Time-Varying Systems Subject to Random Sensor Delay: A Riccati Equation Approach
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