A Method for Sensor Placement Taking into Account Diagnosability Criteria

Abstract

This paper presents a new approach to sensor placement based on diagnosability criteria. It is based on the study of structural matrices. Properties of structural matrices regarding detectability, discriminability and diagnosability are established in order to be used by sensor placement methods. The proposed approach manages any number of constraints modelled by linear or nonlinear equations and it does not require the design of analytical redundancy relations. Assuming that a constraint models a component and that the cost of the measurement of each variable is defined, a method determining sensor placements satisfying diagnosability specifications, where all the diagnosable, discriminable and detectable constraint sets are specified, is proposed. An application example dealing with a dynamical linear system is presented.

Optimal Sensor Placement for Leak Location in Water Distribution Networks using Evolutionary Algorithms

“…We propose only to work with the configuration x defining the sensor placement as the variable to optimize and to deal with the variable λ by considering for a given x only the best LSS hyperplane projection that leads to the lowest number of overlaps. Therefore, considering the modified error index Equation (13), the cost function is written as follows:…”

“…At the same time, the development of a sensor placement strategy has been an extensive subject of research in the general context of model-based fault detection and isolation (FDI) [12], where the approach may depend on the type of isolability criteria [13,14]. These methods do not apply directly to the case of water distribution networks because of the non-explicit non-linear nature of their model.…”

“…//End GA-or PSO-based search. 13: end for 14: Find the best solution x min with the minimal error index min between all of the iterations and save it as the near-optimal sensor placement.…”

“…Analyze the configuration according to Equation (13). 10: Evaluate the solution using Equation (16).…”

Sensor selection for fault diagnosis in uncertain systems

“…Krysander & Frisk, 2008;Yassine, Ploix, & Flaus, 2008). Fault detectability and isolability are deterministic performance measures and describe whether faults can be detected and isolated or not in the ideal case, i.e.…”