Fault Detection and Isolation for Linear Structured Systems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2020Embargo end date: 01 Jan 2020 Netherlands Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Control Systems Letters, volume 4, pages 874-879 (eissn: 2475-1456,

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Authors: Jiajia Jia; Harry L. Trentelman; M. Kanat Camlibel;

doi: 10.1109/lcsys.2020.2995239 , 10.48550/arxiv.2003.01502

arXiv: 2003.01502

handle: 11370/fa8c2d9e-897e-4468-bb14-3282340d6fd9

Fault Detection and Isolation for Linear Structured Systems

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Abstract

This paper deals with the fault detection and isolation (FDI) problem for linear structured systems in which the system matrices are given by zero/nonzero/arbitrary pattern matrices. In this paper, we follow a geometric approach to verify solvability of the FDI problem for such systems. To do so, we first develop a necessary and sufficient condition under which the FDI problem for a given particular linear time-invariant system is solvable. Next, we establish a necessary condition for solvability of the FDI problem for linear structured systems. In addition, we develop a sufficient algebraic condition for solvability of the FDI problem in terms of a rank test on an associated pattern matrix. To illustrate that this condition is not necessary, we provide a counterexample in which the FDI problem is solvable while the condition is not satisfied. Finally, we develop a graph-theoretic condition for the full rank property of a given pattern matrix, which leads to a graph-theoretic condition for solvability of the FDI problem.

6 pages, 1 figure, 1 table

Country

Netherlands

Related Organizations

University of Gronigen
Netherlands
University of Groningen
Netherlands

Keywords

Controllability, Silicon, linear systems, Linear systems, Indexes, SENSOR-LOCATION, Systems and Control (eess.SY), Dynamical Systems (math.DS), fault diagnosis, DIAGNOSIS, Electrical Engineering and Systems Science - Systems and Control, FAILURE-DETECTION, Control theory, Optimization and Control (math.OC), FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Mathematics - Dynamical Systems, Observers, Fault detection, Mathematics - Optimization and Control

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