Publication

Active fault detection based on set-membership approach for uncertain discrete-time systems

Journal Article (2020)

Journal

International Journal of Robust and Nonlinear Control

Pages

5322-5340

Volume

30

Number

14

Doc link

https://doi.org/10.1002/rnc.5036

File

Download the digital copy of the doc pdf document

Authors

Abstract

Active fault detection facilitates determination of the fault characteristics by injecting proper auxiliary input signals into the system. This article proposes an observer‐based on‐line active fault detection method for discrete‐time systems with bounded uncertainties. First, the output including disturbances, measurement noise and interval uncertainties at each sample time is enclosed in a zonotope. In order to reduce the conservativeness in the fault detection process, a zonotopic observer is designed to estimate the system states allowing to generate the output zonotopes. Then, a proper auxiliary input signal is designed to separate the output zonotopes of the faulty model from the healthy model that is injected into the system to facilitate the detection of small fault . Since the auxiliary input signal generation leads to a nonconvex optimization problem, it is transformed into a mixed integer quadratic programming problem. Finally, a case study based on a DC motor is used to show the effectiveness of the proposed method.

Categories

control theory.

Scientific reference

J. Wang, Y. Shi, M. Zhou, Y. Wang and V. Puig. Active fault detection based on set-membership approach for uncertain discrete-time systems. International Journal of Robust and Nonlinear Control, 30(14): 5322-5340, 2020.