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Diagnosis (06) Diagnosis by Chronicles Alban Grastien alban.grastien@rsise.anu.edu.au Systems to Diagnose 1 Chronicle 2 Chronicle Recognition 3 Generation of Chronicles 4 Systems to Diagnose 1 Chronicle 2 Chronicle Recognition 3

  1. Diagnosis (06) Diagnosis by Chronicles Alban Grastien alban.grastien@rsise.anu.edu.au

  2. Systems to Diagnose 1 Chronicle 2 Chronicle Recognition 3 Generation of Chronicles 4

  3. Systems to Diagnose 1 Chronicle 2 Chronicle Recognition 3 Generation of Chronicles 4

  4. Notion of Event Definition (erk.) An event is something that happens at some time . Example “The button is switched on.” “A mail is received.” “An alarm is emitted.” “The temperature increases.” (but not “The temperature is increasing”) “The temperature starts increasing.”, “The temperature ends increasing.” “The temperature reaches a high value.”

  5. Formal Definition of an Event Beware ! event occurrence � = event type An event (occurrence) is defined by: Event type (what happened) Parameters (more precisely what happened) Time of occurrence (when it happened) Unique identifier (to distinguish from other similar events)

  6. Diagnosis Dynamic system Observations The observations generated by the system are events. Alarm emitted by a component Log entry from a software Observation of a sensor at a given time Sound at a given time Etc. Diagnosis Determine what happened. . .

  7. Examples Power Supply Networks Telecommunication Networks Factory Web Services Mail Servers Airplanes etc.

  8. Systems to Diagnose 1 Chronicle 2 Chronicle Recognition 3 Generation of Chronicles 4

  9. Unformal Definition Principle A chronicle is a pattern of events with time constraints A chronicle is a signature of a behaviour (normal or faulty) → diagnosis Examples The pattern that corresponds to the fact that a light was switched on by mistake is: Light l i is switched on at time t Light l i is switched off at time t ′ where t ′ < t + 1 s

  10. Formally Chronicle [Dousson 1996] A set of events occurrence – an event is An event type A set of parameters A time occurrence A set of time constraints between the events Example Switch([ ? l i ,on], t 1 ) Switch([ ? l i ,off], t 2 ) t 2 − t 1 ∈ [ 0 , 1 ]

  11. Systems to Diagnose 1 Chronicle 2 Chronicle Recognition 3 Generation of Chronicles 4

  12. Chronicle Recognition Switch([ l 1 ,on],0.2) Switch([ l 2 ,on],0.3) Switch([ l 1 ,off],0.5) Switch([ l 3 ,on],0.6) Switch([ l 4 ,on],1.1) Switch([ l 2 ,off],1.4) Switch([ l 4 ,off],1.5) Switch([ l 4 ,on],1.7) Switch([ l 5 ,on],1.8) Switch([ l 3 ,off],1.9) Switch([ l 4 ,off],2.0) etc.

  13. Chronicle Recognition Switch([ l 1 ,on],0.2) Chronicle 1 Switch([ l 2 ,on],0.3) Switch([ l 1 ,off],0.5) Chronicle 1 Switch([ l 3 ,on],0.6) Switch([ l 4 ,on],1.1) Switch([ l 2 ,off],1.4) Switch([ l 4 ,off],1.5) Switch([ l 4 ,on],1.7) Switch([ l 5 ,on],1.8) Switch([ l 3 ,off],1.9) Switch([ l 4 ,off],2.0) etc.

  14. Chronicle Recognition Switch([ l 1 ,on],0.2) Chronicle 1 Switch([ l 2 ,on],0.3) Switch([ l 1 ,off],0.5) Chronicle 1 Switch([ l 3 ,on],0.6) Switch([ l 4 ,on],1.1) Chronicle 2 Switch([ l 2 ,off],1.4) Switch([ l 4 ,off],1.5) Chronicle 2 Switch([ l 4 ,on],1.7) Switch([ l 5 ,on],1.8) Switch([ l 3 ,off],1.9) Switch([ l 4 ,off],2.0) etc.

  15. Chronicle Recognition Switch([ l 1 ,on],0.2) Chronicle 1 Switch([ l 2 ,on],0.3) Switch([ l 1 ,off],0.5) Chronicle 1 Switch([ l 3 ,on],0.6) Switch([ l 4 ,on],1.1) Chronicle 2 Switch([ l 2 ,off],1.4) Switch([ l 4 ,off],1.5) Chronicle 2 Switch([ l 4 ,on],1.7) Chronicle 3 Switch([ l 5 ,on],1.8) Switch([ l 3 ,off],1.9) Switch([ l 4 ,off],2.0) Chronicle 3 etc.

  16. Chronicle Recognition Switch([ l 1 ,on],0.2) Chronicle 1 Switch([ l 2 ,on],0.3) Switch([ l 1 ,off],0.5) Chronicle 1 Switch([ l 3 ,on],0.6) Switch([ l 4 ,on],1.1) Chronicle 2 Chronicle 4 Switch([ l 2 ,off],1.4) Switch([ l 4 ,off],1.5) Chronicle 2 Switch([ l 4 ,on],1.7) Chronicle 3 Switch([ l 5 ,on],1.8) Switch([ l 3 ,off],1.9) Switch([ l 4 ,off],2.0) Chronicle 3 Chronicle 4 etc.

  17. On-line recognition Hypothesis The observations are processed in the order they are received Principle Maintain a list of partial recognised chronicles When a new observation is received Add new chronicles corresponding to the extension of existing chronicles with this event Remove the chronicles that can no longer be recognised (because of time constraints) Chronicle Recognition System (CRS) http://crs.elibel.tm.fr/index.html

  18. Example Switch Switch [ 0 , 1 ] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ]

  19. Example ⊲ Observation 1: Switch([ l 1 ,on],0.2) Switch Switch [ 0 , 1 ] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ]

  20. Example Observation 1: Switch([ l 1 ,on],0.2) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.2,1.2] 0.2

  21. Example ⊲ Observation 2: Switch([ l 2 ,on],0.3) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.2,1.2] 0.2

  22. Example Observation 2: Switch([ l 2 ,on],0.3) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.2,1.2] 0.2 Switch Switch [ 0 , 1 ] [ l 2 ,on] [ l 2 ,off] [0.3,1.3] 0.3

  23. Example ⊲ Observation 3: Switch([ l 1 ,off],0.5) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.2,1.2] 0.2 Switch Switch [ 0 , 1 ] [ l 2 ,on] [ l 2 ,off] [0.3,1.3] 0.3

  24. Example Observation 3: Switch([ l 1 ,off],0.5) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.2,1.2] 0.2 Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 2 ,on] [ l 2 ,off] [ l 1 ,on] [ l 1 ,off] [0.3,1.3] 0.3 0.2 0.5

  25. Example ⊲ Observation 4: Switch([ l 3 ,on],0.6) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.2,1.2] 0.2 Switch Switch [ 0 , 1 ] [ l 2 ,on] [ l 2 ,off] [0.3,1.3] 0.3

  26. Example Observation 4: Switch([ l 3 ,on],0.6) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.2,1.2] 0.2 Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 2 ,on] [ l 2 ,off] [ l 3 ,on] [ l 3 ,off] [0.3,1.3] [0.6,1.6] 0.3 0.6

  27. Example ⊲ Observation 5: Switch([ l 4 ,on],1.1) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.2,1.2] 0.2 Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 2 ,on] [ l 2 ,off] [ l 3 ,on] [ l 3 ,off] [0.3,1.3] [0.6,1.6] 0.3 0.6

  28. Example Observation 5: Switch([ l 4 ,on],1.1) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] 0.2 [0.2,1.2] Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 2 ,on] [ l 2 ,off] [ l 3 ,on] [ l 3 ,off] [0.3,1.3] [0.6,1.6] 0.3 0.6 Switch Switch [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [1.1,2.1] 1.1

  29. Example ⊲ Observation 6: Switch([ l 2 ,off],1.4) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 1 ,on] [ l 1 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] 0.2 [0.2,1.2] Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 2 ,on] [ l 2 ,off] [ l 3 ,on] [ l 3 ,off] [0.3,1.3] [0.6,1.6] 0.3 0.6 Switch Switch [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [1.1,2.1] 1.1

  30. Example Observation 6: Switch([ l 2 ,off],1.4) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 3 ,on] [ l 3 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.6,1.6] 0.6 Switch Switch [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [1.1,2.1] 1.1

  31. Example ⊲ Observation 7: Switch([ l 4 ,off],1.5) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 3 ,on] [ l 3 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.6,1.6] 0.6 Switch Switch [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [1.1,2.1] 1.1

  32. Example Observation 7: Switch([ l 4 ,off],1.5) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 3 ,on] [ l 3 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.6,1.6] 0.6 Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [ l 4 ,on] [ l 4 ,off] [1.1,2.1] 1.1 1.1 1.5

  33. Example ⊲ Observation 8: Switch([ l 4 ,on],1.7) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 3 ,on] [ l 3 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [0.6,1.6] 0.6 Switch Switch [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [1.1,2.1] 1.1

  34. Example Observation 8: Switch([ l 4 ,on],1.7) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [1.1,2.1] 1.1 Switch Switch [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [1.7,2.7] 1.7

  35. Example ⊲ Observation 9: Switch([ l 5 ,on],1.8) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [1.1,2.1] 1.1 Switch Switch [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [1.7,2.7] 1.7

  36. Example Observation 9: Switch([ l 5 ,on],1.8) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [1.1,2.1] 1.1 Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [ l 5 ,on] [ l 4 ,off] [1.7,2.7] [1.8,2.8] 1.7 1.8

  37. Example ⊲ Observation 10: Switch([ l 3 ,off],1.9) Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [?l,on] [?l,off] [ 0 , ∞ ] [ 0 , ∞ ] [1.1,2.1] 1.1 Switch Switch Switch Switch [ 0 , 1 ] [ 0 , 1 ] [ l 4 ,on] [ l 4 ,off] [ l 5 ,on] [ l 4 ,off] [1.7,2.7] [1.8,2.8] 1.7 1.8

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