Publication

Interval observer versus set-membership approaches for fault detection in uncertain systems using zonotopes

Journal Article (2019)

Journal

International Journal of Robust and Nonlinear Control

Pages

2819-2843

Volume

29

Number

10

Doc link

http://dx.doi.org/10.1002/rnc.4523

File

Download the digital copy of the doc pdf document

Abstract

This paper presents both analysis and comparison of the interval-observer-based and set-membership approaches for the state estimation and fault detection (FD) in uncertain linear systems. The considered approaches assume that both state disturbance and measurement noise are modeled in a deterministic context following the unknown but bounded approach. The propagation of uncertainty in the state estimation is bounded through a zonotopic set representation. Both approaches have been mathematically related and compared when used for state estimation and FD. A case study based on a two-tanks system is employed for showing the relationship between both approaches while comparing their performance.

Categories

control theory.

Author keywords

uncertainty, interval observer, set membership, state estimation, fault detection, minimum detectable fault

Scientific reference

M. Pourasghar, V. Puig and C. Ocampo-Martínez. Interval observer versus set-membership approaches for fault detection in uncertain systems using zonotopes. International Journal of Robust and Nonlinear Control, 29(10): 2819-2843, 2019.