1994
DOI: 10.2514/3.21193
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Failure detection of dynamical systems with the state chi-square test

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Cited by 66 publications
(32 citation statements)
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“…In the third possible scenario ( 1 < ( ) ≤ 2 ), the sensor belongs to an intermediate state which is between the state of attack and being ideal (the sensor is softly attacked; i.e., it could be a candidate for an attacked sensor). Theoretically speaking, the quadratic term ( ) ∈ R + appearing in (18) has three degrees of freedom as it is distributed according to the 2 distribution [18]. The limit values ( 1 and 2 ) defined in (20) are obtained based on this fact and using standard 2 tables.…”
Section: Attack Isolation Frameworkmentioning
confidence: 99%
See 1 more Smart Citation
“…In the third possible scenario ( 1 < ( ) ≤ 2 ), the sensor belongs to an intermediate state which is between the state of attack and being ideal (the sensor is softly attacked; i.e., it could be a candidate for an attacked sensor). Theoretically speaking, the quadratic term ( ) ∈ R + appearing in (18) has three degrees of freedom as it is distributed according to the 2 distribution [18]. The limit values ( 1 and 2 ) defined in (20) are obtained based on this fact and using standard 2 tables.…”
Section: Attack Isolation Frameworkmentioning
confidence: 99%
“…where the required threshold ( ) is computed based on the available tables for 2 -test [18]. In order to define whether sensor , for (1 ≤ ≤ ), is attacked or not, a validation probability is defined corresponding to each sensor.…”
Section: Attack Isolation Frameworkmentioning
confidence: 99%
“…In Brown and Hwang's method [5], they used past information as well, which examines fault at a current time based on the verified past information. In addition, Da used the residual and covariance from the Kalman filter, and proposed a Chi-Square test method to monitor the fault in a GPS/INS integration system [9]. This method also monitors fault in current measurement based on verified past information.…”
Section: Introductionmentioning
confidence: 99%
“…In the residual test scheme, picking out the sporadic errors is easy, but detecting the gradually increasing error in the measurement is not. FD may be conducted by examining the probabilistic property of the estimated state itself instead of the residuals [5], yet a precise reference system unaffected by failures is required in implementation [17].…”
Section: Introductionmentioning
confidence: 99%