Robust fault detection using interval LPV parity equations: Application to an open-flow canal

In this paper, robust fault detection using a parity equation passive robust approach based on generating an adaptive threshold considering that the system to be monitored can be described by an interval linear parameter varying (LPV) model with variable transport delay is proposed. This approach allows to consider parameters and associated uncertainty intervals dependence on the operating point. Additionally, a parameter estimation algorithm for interval LPV models with variable transport delay is presented. Finally, a single reach open flow canal, based on a real canal (the Lunax Gallery), has been used to assess the validity of the proposed approach.

[1]  D. Georges,et al.  Robust continuous-time and discrete-time flow control of a dam-river system. (I) Modelling , 1999 .

[2]  Stéphane Ploix,et al.  Causal fault detection and isolation based on a set-membership approach , 2004, Autom..

[3]  Jie Chen,et al.  Robust Model-Based Fault Diagnosis for Dynamic Systems , 1998, The International Series on Asian Studies in Computer and Information Science.

[4]  Bassam Bamieh,et al.  Identification of linear parameter varying models , 2002 .

[5]  Rolf Isermann,et al.  Two-Step Process Identification With Correlation Analysis and Least-Squares Parameter Estimation , 1974 .

[6]  Janos Gertler,et al.  Fault detection and diagnosis in engineering systems , 1998 .

[7]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[8]  Yolanda Bolea,et al.  Robust fault detection using interval LPV models , 2007, 2007 European Control Conference (ECC).

[9]  Josep Vehí,et al.  Fault detection and isolation of the three-tank system using the modal interval analysis , 2002 .

[10]  Gustavo Belforte,et al.  LPV approximation of distributed parameter systems in environmental modelling , 2005, Environ. Model. Softw..

[11]  Stéphane Ploix,et al.  Parameter uncertainty computation in static linear models , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[12]  Vicenç Puig,et al.  Passive Robust Fault Detection of Dynamic Processes Using Interval Models , 2008, IEEE Transactions on Control Systems Technology.

[13]  Shankar P. Bhattacharyya,et al.  Robust Control: The Parametric Approach , 1994 .

[14]  Paul M. Frank,et al.  Issues of Fault Diagnosis for Dynamic Systems , 2010, Springer London.