Fault estimation observer design for discrete-time systems in finite-frequency domain

SummaryThis paper proposes a framework of fault estimation observer design in finite‐frequency domain for discrete‐time systems. First, under the multiconstrained idea, a full‐order fault estimation observer in finite‐frequency domain is designed to achieve fault estimation by using the generalized...

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Veröffentlicht in:International journal of robust and nonlinear control 2015-06, Vol.25 (9), p.1379-1398
Hauptverfasser: Zhang, Ke, Jiang, Bin, Shi, Peng, Xu, Jingfa
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container_title International journal of robust and nonlinear control
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creator Zhang, Ke
Jiang, Bin
Shi, Peng
Xu, Jingfa
description SummaryThis paper proposes a framework of fault estimation observer design in finite‐frequency domain for discrete‐time systems. First, under the multiconstrained idea, a full‐order fault estimation observer in finite‐frequency domain is designed to achieve fault estimation by using the generalized Kalman–Yakubovich–Popov lemma to reduce conservatism generated by the entire frequency domain. Then, a reduced‐order fault estimation observer is constructed, which results in a new fault estimator to realize fault estimation using current output information. Furthermore, by introducing slack variables, improved results on full‐order fault estimation observer and reduced‐order fault estimation observer design with finite‐frequency specifications are obtained such that different Lyapunov matrices can be separately designed for each constraint. Simulation results are presented to illustrate the advantages of the theoretic results obtained. Copyright © 2014 John Wiley & Sons, Ltd.
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subjects Design engineering
discrete-time systems
Estimators
fault diagnosis
fault estimation
Faults
finite-frequency domain
Frequency domains
Mathematical models
Nonlinearity
Simulation
Specifications
title Fault estimation observer design for discrete-time systems in finite-frequency domain
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