Fault Detection and Isolation of Fornasini-Marchesini 2D Systems: A Geometric Approach

被引：0

作者：

Baniamerian, Amir ^{[1
]}

Meskin, Nader

Khorasani, Khashayar ^{[1
]}

机构：

[1] Concordia Univ, Dept Elect & Comp Engn, Quebec City, PQ, Canada

来源：

2014 AMERICAN CONTROL CONFERENCE (ACC) | 2014年

关键词：

STATE-SPACE MODELS; 2-DIMENSIONAL SYSTEMS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The fault detection and isolation (FDI) problem for discrete-time two-dimensional (2D) systems represented by the Fornasini-Marchesini model II is investigated in this work. It is shown that the sufficient conditions for solvability of the FDI problem that we have developed recently for the Roesser model is also applicable to this class of 2D systems. In this paper, we are mainly concerned with the necessary conditions. Two sets of necessary conditions for the solvability of the FDI problem are derived. The first necessary condition involves a new set of invariant subspaces that has no one-dimensional (1D) equivalency. The second set which is consistent with its equivalent 1D case is derived, generically (from the algebraic geometry point of view). A numerical example is also provided to illustrate the application of the results.

引用

页码：5527 / 5533

页数：7

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