1 Limnimeter and Rain Gauge FDI in Sewer Networks 1 using an Interval Parity Equations based Detection Approach 2 and an Enhanced Isolation Scheme

Limnimeter and Rain Gauge FDI in Sewer Networks 1 using an Interval Parity Equations based Detection Approach 2 and an Enhanced Isolation Scheme 3 4 Vicenç Puig, Joaquim Blesa 5  6 Advanced Control Systems Group (SAC), Institute of Robotics and Industrial Informatics (IRI-CSIC) ,Universitat 7 Politècnica de Catalunya (UPC), Pau Gargallo, 5 ,08028 Barcelona, Spain 8 (e-mail: [email protected]) 9 10 11 12 Abstract: In this paper, a methodology for limnimeter and rain-gauge fault detection and isolation (FDI) 13 in sewer networks is presented. The proposed model based FDI approach uses interval parity equations 14 for fault detection in order to enhance robustness against modelling errors and noise. They both are 15 assumed unknown but bounded, following the so-called interval (or set-membership) approach. On the 16 other hand, fault isolation relies on an algorithm that reasons using several fault signature matrices that 17 store additional information to the typical binary one used in standard FDI approaches. More precisely, 18 the considered fault signature matrices contain information about residual fault sign/sensitivity and 19 time/order of activation. The paper also proposes an identification procedure to obtain the interval models 20 used in fault detection that delivers the nominal model plus parameter uncertainty is proposed. To 21 exemplify the proposed FDI methodology, a case study based on the Barcelona sewer network is used. 22