State estimation and fault detection and identification for constrained stochastic linear hybrid systems

In this study, a fault detection and identification (FDI) scheme are proposed for constrained stochastic linear hybrid systems (CSLHSs) based on our proposed constrained innovation hybrid estimator (CIHE). CSLHSs are stochastic linear hybrid systems that have state equality constraints on the dynami...

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Vydáno v:IET control theory & applications Ročník 7; číslo 1; s. 1 - 15
Hlavní autoři: Mann, Garrett, Hwang, Inseok
Médium: Journal Article
Jazyk:angličtina
Vydáno: Stevenage The Institution of Engineering and Technology 01.01.2013
John Wiley & Sons, Inc
Témata:
CIHE
constrained innovation hybrid estimator
constrained stochastic linear hybrid systems
constraint violations
Constraints
CSLHS
Fault detection
fault detection and identification scheme
fault diagnosis
Faults
FDI scheme
filtering theory
Hybrid systems
linear systems
mode‐matched filters
Monitoring
state equality constraints
State estimation
statistical analysis
statistical properties
stochastic systems
Stochasticity
system dynamic faults
unconstrained filters
water tank system
Water tanks
system dynamic faults
fault diagnosis
unconstrained filters
filtering theory
fault detection and identification scheme
linear systems
constrained stochastic linear hybrid systems
state equality constraints
water tank system
CSLHS
constraint violations
stochastic systems
constrained innovation hybrid estimator
state estimation
FDI scheme
statistical analysis
CIHE
statistical properties
mode-matched filters
ISSN:1751-8644, 1751-8652
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Shrnutí:In this study, a fault detection and identification (FDI) scheme are proposed for constrained stochastic linear hybrid systems (CSLHSs) based on our proposed constrained innovation hybrid estimator (CIHE). CSLHSs are stochastic linear hybrid systems that have state equality constraints on the dynamics of each mode. The CIHE is derived to estimate the CSLHS in such a way that the expectation of the innovations of the mode-matched filters satisfy the constraints. Therefore the constraint information is available in the residual of the CIHE for FDI of not only system dynamic faults but also constraint violations. Each constrained, mode-matched filter is proved to be unbiased, satisfy the constraint, and have smaller estimation error than corresponding unconstrained filters. It is also proved that the CIHE is unbiased and that three residuals from the CIHE have zero mean with a given covariance for different cases of system faults. By monitoring the statistical properties of these residuals, both constraint and discrete faults are detected and identified. The estimation and FDI characteristics of the CIHE algorithm are illustrated using a water tank system as an example.
Bibliografie:SourceType-Scholarly Journals-1
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ISSN:1751-8644
1751-8652
DOI:10.1049/iet-cta.2011.0315