On H∞ Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link

This paper investigates the fixed-lag fault estimator design for linear discrete time-varying (LDTV) systems with intermittent measurements, which is described by a Bernoulli distributed random variable. Through constructing a novel partially equivalent dynamic system, the fault estimator design is...

Full description

Bibliographic Details
Main Authors: Li, Yueyang, Liu, Shuai, Wang, Zhonghua, Yan, Xuehua
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2015
Online Access:https://hdl.handle.net/10356/104320
http://hdl.handle.net/10220/38821
_version_ 1811696131773562880
author Li, Yueyang
Liu, Shuai
Wang, Zhonghua
Yan, Xuehua
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Li, Yueyang
Liu, Shuai
Wang, Zhonghua
Yan, Xuehua
author_sort Li, Yueyang
collection NTU
description This paper investigates the fixed-lag fault estimator design for linear discrete time-varying (LDTV) systems with intermittent measurements, which is described by a Bernoulli distributed random variable. Through constructing a novel partially equivalent dynamic system, the fault estimator design is converted into a deterministic quadratic minimization problem. By applying the innovation reorganization technique and the projection formula in Krein space, a necessary and sufficient condition is obtained for the existence of the estimator. The parameter matrices of the estimator are derived by recursively solving two standard Riccati equations. An illustrative example is provided to show the effectiveness and applicability of the proposed algorithm.
first_indexed 2024-10-01T07:34:29Z
format Journal Article
id ntu-10356/104320
institution Nanyang Technological University
language English
last_indexed 2024-10-01T07:34:29Z
publishDate 2015
record_format dspace
spelling ntu-10356/1043202020-03-07T14:00:38Z On H∞ Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link Li, Yueyang Liu, Shuai Wang, Zhonghua Yan, Xuehua School of Electrical and Electronic Engineering This paper investigates the fixed-lag fault estimator design for linear discrete time-varying (LDTV) systems with intermittent measurements, which is described by a Bernoulli distributed random variable. Through constructing a novel partially equivalent dynamic system, the fault estimator design is converted into a deterministic quadratic minimization problem. By applying the innovation reorganization technique and the projection formula in Krein space, a necessary and sufficient condition is obtained for the existence of the estimator. The parameter matrices of the estimator are derived by recursively solving two standard Riccati equations. An illustrative example is provided to show the effectiveness and applicability of the proposed algorithm. Published version 2015-10-21T06:44:16Z 2019-12-06T21:30:19Z 2015-10-21T06:44:16Z 2019-12-06T21:30:19Z 2014 2014 Journal Article Li, Y., Liu, S., Wang, Z., & Yan, X. (2014). On H ∞ Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link . Mathematical Problems in Engineering, 2014, 358601-. https://hdl.handle.net/10356/104320 http://hdl.handle.net/10220/38821 10.1155/2014/358601 en Mathematical Problems in Engineering © 2014 Yueyang Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. application/pdf
spellingShingle Li, Yueyang
Liu, Shuai
Wang, Zhonghua
Yan, Xuehua
On H∞ Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link
title On H∞ Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link
title_full On H∞ Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link
title_fullStr On H∞ Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link
title_full_unstemmed On H∞ Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link
title_short On H∞ Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link
title_sort on h∞ fault estimator design for linear discrete time varying systems under unreliable communication link
url https://hdl.handle.net/10356/104320
http://hdl.handle.net/10220/38821
work_keys_str_mv AT liyueyang onhfaultestimatordesignforlineardiscretetimevaryingsystemsunderunreliablecommunicationlink
AT liushuai onhfaultestimatordesignforlineardiscretetimevaryingsystemsunderunreliablecommunicationlink
AT wangzhonghua onhfaultestimatordesignforlineardiscretetimevaryingsystemsunderunreliablecommunicationlink
AT yanxuehua onhfaultestimatordesignforlineardiscretetimevaryingsystemsunderunreliablecommunicationlink