Introduction to Fault Diagnosis

The overview, concepts, development, concerns & schemes


Domain

Explanation

Fault

  • Based on Frank's 1994 paper,
  • A fault is understood as any kind of malfunction in an actual dynamic system that leads to an unacceptable anomaly (abnormal operating condition) in the overall system performance
  • Hence, a fault can be a failure of any form, in any component & within any system
  • Two types of faults (Collins et al 2000):
  1. Hard failure: abrupt fault with completely cease functioning
  2. Soft failure: small or incipient fault whist still working, but not functioning properly - eg. <100% of true output, corruption, fluctuations

Fault diagnosis

  • Just as doctors diagnose patients for signs & symptoms of ailments
  • Fault diagnosis seeks to find faults (detection) & identify the sources of these faults (isolation)
  • Hence, fault diagnosis is also called fault detection & isolation (FDI)
  • FDI encompasses the two domains:
  1. Theory: algorithms for
  • Signal processing techniques
  • Logical switching functions
  1. Applications:
  • Plan of maintenance: repair & replace before faults occur
  • Monitoring: of system (plant) to detect faults ASAP & isolate them for control & maintenance
  • The plant has the following:
  1. Structure: the framework of all in-house processes
  2. Sensors: for detection
  3. Actuators: detection & compensation
  • Compensation can require system reconfiguration in order to continue operations with the new plant
  • FDI started with the sensor components, but has now expanded into all plant components

Fault tolerance

  • As any system can reasonably expect faults to occur, a good system should be able to withstand certain faults to certain degree
  • Hence, the system should be fault-tolerant
  • Take for example, a vehicle would be always be equipped with a spare tyre in case of puncture (that is, if only one gets blown)
  • That spare tyre is redundant, but acts as a form of fault-tolerant measure against the fault of a puncture
  • In R&D, making use of redundancy, fault tolerance consists of:
  1. Hardware redundancy: traditional approach; extra similar equipment or system components in excess of the minimum required for normal operations; takes over in fault; disadvantages of higher costs, software, equipment space
  2. Functional redundancy: modern model-based approach; extra dissimilar equipment or components; uses sophisticated comparisons & FDI schemes; robustness required
  • Hardware redundancy involves:
  • Configuration in case of faults to use spare parts & drop faulty ones
  • The outputs of the similar parts need to be compared, filtered & by majority vote of similar sensors detect faults
  • Enable separate FDI for plant components (slower dynamics) & sensor components (parametric, faster dynamics)
  • Functional redundancy involves:
  • Dissimilar sensors & components: that work differently but share the same function within the overall system
  • Since only function is shared, majority vote techniques not work, hence sophisticated comparison required - FDI schemes

FDI

  • 2 types of FDI schemes:
  1. FDI based on known or assumed plant dynamics
  2. FDI based on online identification schemes
  • The objectives are to robustly generate signals for:
  1. Fault detection: eg. using instrument fault detection (IFD)
  2. Identify faulty component: difficult under feedback conditions as other channels are affected by single faulty component
  • To meet these objectives, we need to criteria to gauge the effectiveness of FDI schemes
  • Initialise with a list of target faults (fault types) for FDI
  • The 5 criteria required for successful FDI are as follows:
  1. Promptness: speed
  2. Sensitivity: to target faults & insensitive (robust) to all others (eg. other non-target faults, disturbances, noises & uncertainties)
  3. False alarm: reduced triggering under non-target faults
  4. Missed detection: reduced detection of target faults - use of thresholds & decisions (for diagnosis, observation & redundancy)
  5. Incorrect fault identification: wrong identification of target faulty component, resulting in faulty compensation
  • It has been consistently emphasized of the critical necessity of robustness against uncertainties:
  1. Unmodelled non-linearities
  2. Uncertain dynamics
  3. Disturbances & noises
  • Approaches for robustness:
  1. UIOS: eigenstructure assignment using IFD contained in uncertain disturbance distribution à disturbance decoupling à linearity required
  2. Model-based using knowledge base of fault types:
  • Generating hypothesis: reasoning
  • Testing: evaluating hypothesis for truth à approaches like robust filter & SPRT

Disciplines involved

  • System identification techniques
  • Hypothesis: statistics
  • Robust estimation & control
  • Optimisation
  • Decision logic

Links

Excerpts from "Fault Diagnosis" by Patten, Frank & Crank TJ213Fau

Frank Paul M. & Ding Xianchun, "Frequency Domain Approach to Optimally Robust Residual Generation & Evaluation for Model-based Fault Diagnosis", Automatica, Vol. 30, No. 5, 1994, pp. 789-804

Collins Emmanuel G. Jr, Song Tinglun, "Robust Hinf estimation & fault detection of uncertain dynamic systems", Journal of Guidance, Control & Dynamics, Vol. 23, No. 5, 2000, pp. 857-864

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