## Samenvatting

This letter 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 letter, 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.

Originele taal-2 | English |
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Artikelnummer | 9094642 |

Pagina's (van-tot) | 874-879 |

Aantal pagina's | 6 |

Tijdschrift | IEEE Control Systems Letters |

Volume | 4 |

Nummer van het tijdschrift | 4 |

DOI's | |

Status | Published - okt-2020 |