TY - JOUR
T1 - Threshold selection for timely fault detection in feedback control systems
AU - Hsiao, Te-Sheng
AU - Tomizuka, Masayoshi
PY - 2005
Y1 - 2005
N2 - The inevitable time delay in fault detection, i.e. the time between the occurrence and detection of the fault, can cause stability problems in feedback control systems. The state of the art technologies, however, provide neither an analysis tool to evaluate the adverse influence of the detection delay on the closed-loop system's stability and performance nor guidelines for designers to overcome the instability introduced by the detection delay. In this paper we conduct a theoretical analysis of timely fault detection problem which concerns the detection of faults before the closed-loop system's performance deteriorates to an unacceptable extent. We first give a formal definition of the "timely" fault detection problem. Then we derive the upper and lower bounds of thresholds of fault detectors as well as a set of detectable faults. If the threshold is selected within the bounds, faults belonging to the detectable set can be detected in a timely manner and an acceptable level of performance is guaranteed.
AB - The inevitable time delay in fault detection, i.e. the time between the occurrence and detection of the fault, can cause stability problems in feedback control systems. The state of the art technologies, however, provide neither an analysis tool to evaluate the adverse influence of the detection delay on the closed-loop system's stability and performance nor guidelines for designers to overcome the instability introduced by the detection delay. In this paper we conduct a theoretical analysis of timely fault detection problem which concerns the detection of faults before the closed-loop system's performance deteriorates to an unacceptable extent. We first give a formal definition of the "timely" fault detection problem. Then we derive the upper and lower bounds of thresholds of fault detectors as well as a set of detectable faults. If the threshold is selected within the bounds, faults belonging to the detectable set can be detected in a timely manner and an acceptable level of performance is guaranteed.
UR - http://www.scopus.com/inward/record.url?scp=23944434692&partnerID=8YFLogxK
U2 - 10.1109/ACC.2005.1470480
DO - 10.1109/ACC.2005.1470480
M3 - Conference article
AN - SCOPUS:23944434692
SN - 0743-1619
VL - 5
SP - 3303
EP - 3308
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
M1 - ThC15.1
T2 - 2005 American Control Conference, ACC
Y2 - 8 June 2005 through 10 June 2005
ER -