Residual-Sensitive Fault Detection Filter

Residual-Sensitive Fault Detection Filter - Proceedings of...

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Residual-Sensitive Fault Detection Filter Robert H. Chen and Jason L. Speyer * Mechanical and Aerospace Engineering Department University of California, Los Angeles, California 90095-1597 Abstract A fault detection and identification algorithm, called the residual-sensitive fault detection filter, is presented. The objective of the filter is to monitor certain faults called target faults and block other faults which are called nuisance faults. This filter is derived from solving a min-max problem which makes the residual sensitive to the target fault, but insensitive to the nuisance faults. It is shown that this filter approximates the properties of the classical fault detection filter such that in the limit where the weighting on the nuisance faults is zero, the residual-sensitive fault detection filter is equivalent to the unknown input observer and there exists a reduced-order filter. Fault detection filter designs can be obtained for both linear time-invariant and time-varying systems. 1 Introduction Any system under automatic control demands a high degree of system reliability and this requires a health monitoring system capable of detecting any system, actuator and sensor fault as it occurs and identifying the faulty component. One approach, analytical redundancy which reduces the need for hardware redundancy, uses a modeled dynamic relationship between system inputs and measured system outputs to form a residual process used for detecting and identifying faults. Nominally, the residual is nonzero only when a fault has occurred and is zero at other times. A popular approach to analytical redundancy is the detection filter which was first introduced by (Beard, 1971) and refined by (Jones, 1973). It is also known as the Beard-Jones fault detection filter. A geometric interpretation of this filter is given in (Massoumnia, 1986). Design algorithms have been developed (White and Speyer, 1987; Douglas and Speyer, 1996, 1999) which improved detection filter robustness. The idea of a detection filter is to put the reachable subspace of each fault into invariant subspaces which do not overlap with each other. Then, when a nonzero residual is detected, a fault can be announced and identified by projecting the residual onto each of the invariant subspaces. Therefore, multiple faults can be monitored in one filter. Another related approach, the unknown input observer (Massoumnia et al. , 1989), simplifies the detection filter problem by dividing the faults into a target fault and nuisance fault group where the nuisance faults are placed into one unobservable subspace. Although only one fault can be detected in each unknown input observer, additional flexibility in fault detection filter design for robustness and time-varying system is obtained by using an approximate fault detection filter (Chung and Speyer, 1998; Lee, 1994; Brinsmead et al. , 1997; Chen and Speyer, 1999).
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This note was uploaded on 10/19/2010 for the course BUSINESS A 2600 taught by Professor Alexandrowhich during the Spring '08 term at University of Toronto.

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Residual-Sensitive Fault Detection Filter - Proceedings of...

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