# Fault detection and diagnosis: computational issues and tools

## TL;DR

This paper reviews computational challenges and tools for fault detection and diagnosis in linear systems, providing existence conditions and summarizing recent methods and software solutions.

## Contribution

It formulates fault diagnosis problems, establishes solution existence conditions, and reviews recent computational methods and tools for fault detection filter synthesis.

## Key findings

- Existence conditions for fault diagnosis solutions are provided.
- Recent computational methods for fault detection filter synthesis are summarized.
- Available software tools for fault diagnosis are described.

## Abstract

A representative set of fault diagnosis problems is formulated for linear time-invariant systems with additive faults. For all formulated problems, general existence conditions of their solutions are given. An overview of recent developments of computational methods for the synthesis of fault detection filters is presented and available software tools are described.