Publication

Zonotopic unknown input observer of discrete-time descriptor systems for state estimation and robust fault detection

Conference Article

Conference

IFAC Symposium on Fault Detection Supervision and Safety for Technical Processes (SAFEPROCESS)

Edition

10th

Pages

307-313

Doc link

https://doi.org/10.1016/j.ifacol.2018.09.594

File

Download the digital copy of the doc pdf document

Abstract

This paper studies a set-based unknown input observer based on zonotopes for discrete-time descriptor systems affected by uncertainties with application to state estimation and robust fault detection. In this paper, two types of uncertainties are considered: (i) disturbances and noise both bounded by zonotopes; (ii) unknown inputs that can be decoupled. In terms of different applications, the observer gain for state estimation is designed to minimize the effects of unknown-but-bounded disturbances and noise as well as state estimation errors. On the other hand, for robust fault detection, in addition to attenuating uncertainties, the designed observer gain is also expected to be sensitive to faults. To achieve this goal, we propose an iterative algorithm to design the fault detection gain. Finally, some illustrative results in an application example show the effectiveness of the proposed algorithms.

Categories

control theory.

Scientific reference

Y. Wang, V. Puig, F. Xu and G. Cembrano. Zonotopic unknown input observer of discrete-time descriptor systems for state estimation and robust fault detection, 10th IFAC Symposium on Fault Detection Supervision and Safety for Technical Processes, 2018, Warsow, Poland, Vol 51-24 of IFAC Papers Online, pp. 307-313, IFAC-Elsevier.