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On an optimization problem in sensor selection for failure diagnosis

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3 Author(s)
Debouk, R. ; Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA ; Lafortune, S. ; Teneketzis, D.

We address the following sensor selection problem for failure diagnosis. We assume that a dynamic system is diagnosable when a set Γ of sensors is used. There is a cost cA associated with each set A of sensors that is a subset of Γ. Given any set of sensors that is a subset of Γ, it is possible to determine, via a test (using a prespecified diagnostic scheme), whether the resulting system-sensor combination is diagnosable. Each “diagnosability test” incurs a fixed cost. For each set of sensors A that is a subset of Γ there is an a priori probability pA that the system-sensor combination is diagnosable. We determine conditions on the sensor costs cA and the a priori probabilities pA under which the strategy that tests combinations of sensors in increasing order of cost minimizes the expected number of tests needed to identify a least costly (sensor-wise) system-sensor combination that is diagnosable

Published in:

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on  (Volume:5 )

Date of Conference:

1999