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 |
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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. |
doi_str_mv | 10.1002/rnc.3150 |
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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. 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J. Robust Nonlinear Control</addtitle><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.</description><subject>Design engineering</subject><subject>discrete-time systems</subject><subject>Estimators</subject><subject>fault diagnosis</subject><subject>fault estimation</subject><subject>Faults</subject><subject>finite-frequency domain</subject><subject>Frequency domains</subject><subject>Mathematical models</subject><subject>Nonlinearity</subject><subject>Simulation</subject><subject>Specifications</subject><issn>1049-8923</issn><issn>1099-1239</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp1kNtKxDAQhosouK6Cj1DwxpuuObVJL3XRVVlUZD3gTUjbiWTtYU1atW9vyoqi4NUMMx-TP18Q7GM0wQiRI1vnE4pjtBGMMErTCBOabg49SyORErod7Di3RMjvCBsFd2eqK9sQXGsq1ZqmDpvMgX0DGxbgzHMd6sa3xuUWWog8BaHrXQuVC41fmtr4sbbw2kGd92HRVMrUu8GWVqWDva869u-cLqbn0fx6djE9nkd5jBiKVI6g0AxRpVkGBeVUJZwxTokQEOucZCxLCiZYniU4I1wpoqkWWLCYM0UFHQeH67sr2_gArpWVTwplqWpoOidx4n-cEhEP6MEfdNl0tvbpPMVTEaeC4p-DuW2cs6DlynoxtpcYycGv9H7l4Nej0Rp9NyX0_3Ly9mr6mzfe3sc3r-yLTDjlsXy4mkmxeHo8ETf38pJ-AghKi2I</recordid><startdate>201506</startdate><enddate>201506</enddate><creator>Zhang, Ke</creator><creator>Jiang, Bin</creator><creator>Shi, Peng</creator><creator>Xu, Jingfa</creator><general>John Wiley & Sons, Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201506</creationdate><title>Fault estimation observer design for discrete-time systems in finite-frequency domain</title><author>Zhang, Ke ; Jiang, Bin ; Shi, Peng ; Xu, Jingfa</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c5040-ac0edf403af4bed373a674473288e5fc2b4b6d484cb61b27aa2f3f8184574a383</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Design engineering</topic><topic>discrete-time systems</topic><topic>Estimators</topic><topic>fault diagnosis</topic><topic>fault estimation</topic><topic>Faults</topic><topic>finite-frequency domain</topic><topic>Frequency domains</topic><topic>Mathematical models</topic><topic>Nonlinearity</topic><topic>Simulation</topic><topic>Specifications</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Ke</creatorcontrib><creatorcontrib>Jiang, Bin</creatorcontrib><creatorcontrib>Shi, Peng</creatorcontrib><creatorcontrib>Xu, Jingfa</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal of robust and nonlinear control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Ke</au><au>Jiang, Bin</au><au>Shi, Peng</au><au>Xu, Jingfa</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fault estimation observer design for discrete-time systems in finite-frequency domain</atitle><jtitle>International journal of robust and nonlinear control</jtitle><addtitle>Int. J. Robust Nonlinear Control</addtitle><date>2015-06</date><risdate>2015</risdate><volume>25</volume><issue>9</issue><spage>1379</spage><epage>1398</epage><pages>1379-1398</pages><issn>1049-8923</issn><eissn>1099-1239</eissn><abstract>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.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/rnc.3150</doi><tpages>20</tpages></addata></record> |
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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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