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Observer-based Sensor Fault Detectability: About Robust Positive Invariance Approach and Residual Sensitivity * *This work was financially supported by Research Mobility Grant awarded by the University Paris-Saclay and a cooperation between Polytechnic University of Catalonia, Spain and CentraleSupelec, France

2017; Elsevier BV; Volume: 50; Issue: 1 Linguagem: Inglês

10.1016/j.ifacol.2017.08.926

2405-8971

Abid Rahman Kodakkadan, Masoud Pourasghar, Vicenç Puig, Sorin Olaru, Carlos Ocampo‐Martínez, Vasso Reppa,

Control Systems and Identification

This paper considers detectability of deviation of sensors from their nominal behavior for a class of linear time-invariant discrete-time systems in the presence of bounded additive uncertainties. Detectable sensor faults using interval observers are analyzed considering two distinct approaches: invariant-sets and classical fault-sensitivity method. It can be inferred from this analysis that both approaches derive distinct formulations for minimum detectable fault magnitude, though qualitatively similar. The core difference lies in the method of construction of the invariant set offline in the former method and the reachable approximation of the convergence set using forward iterative techniques in the latter. This paper also contributes in giving a formulation for minimum fault magnitudes with invariant sets using an observer-based approach. Finally, an illustrative example is used to compare both approaches.