Title
Robust Fault Detection and Set-theoretic UIO for Discrete-time LPV Systems with State and Output Equations Scheduled by Inexact Scheduling Variables
Abstract
This paper proposes a novel robust fault detection (FD) approach and designs a set-theoretic unknown input observer (SUIO) for linear parameter-varying (LPV) systems with both state and output equations scheduled by inexact scheduling variables. First, for such LPV systems, we propose a novel robust FD method by combing the set theory with the unknown input observer, which considers the bounds of measurement errors of scheduling variables to generate FD-oriented sets. In general, as long as sensors with sufficiently high precision are equipped to measure the scheduling variables, the bounds of measurement errors of scheduling variables can be less conservative than those direct bounds of scheduling variables, which can reduce robust FD conservatism in this way. Second, we give the unknown input decoupling condition of SUIO for such LPV systems and propose an SUIO design method under this condition for robust state estimation (SE). Besides, stability conditions for the proposed methods are established via matrix inequalities. At the end of this paper, a case study is used to illustrate the effectiveness of the proposed methods.
Year
DOI
Venue
2019
10.1109/TAC.2019.2902611
IEEE Transactions on Automatic Control
Keywords
Field
DocType
Observers,Measurement errors,Measurement uncertainty,Set theory,Sensors,Dynamic scheduling,Mathematical model
Set theory,Mathematical optimization,Matrix (mathematics),Fault detection and isolation,Scheduling (computing),Control theory,Decoupling (cosmology),Stability conditions,Discrete time and continuous time,Observer (quantum physics),Mathematics
Journal
Volume
Issue
ISSN
64
12
0018-9286
Citations 
PageRank 
References 
1
0.35
9
Authors
6
Name
Order
Citations
PageRank
Xu Feng1196.59
Junbo Tan223.41
Ye Wang331.73
Wang Xueqian43519.00
Liang Bin523954.58
Yuan Bo653247.01