Event-Triggered H∞ Filtering for Discrete-Time Markov Jump Systems with Repeated Scalar Nonlinearities
This paper is concerned with the H ∞ filtering problem for discrete-time Markov jump systems with repeated scalar nonlinearities in an event-triggered communication scheme. An event-triggered scheme is proposed to determine whether the current data should be transmitted to the filter or not. Based o...
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| Veröffentlicht in: | Circuits, systems, and signal processing systems, and signal processing, 2021-02, Vol.40 (2), p.669-690 |
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| container_title | Circuits, systems, and signal processing |
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| creator | Wang, Huijiao Ying, Yujia Xue, Anke |
| description | This paper is concerned with the
H
∞
filtering problem for discrete-time Markov jump systems with repeated scalar nonlinearities in an event-triggered communication scheme. An event-triggered scheme is proposed to determine whether the current data should be transmitted to the filter or not. Based on the time interval analysis approach, the discrete-time Markov jump system with network-induced delays under event-triggered communication scheme is converted into the discrete-time Markov jump time-delay system. By employing the positive-definite diagonally-dominant-type Lyapunov function technique, criteria are derived to guarantee the system is stochastically stable with a prescribed
H
∞
performance level. The correspondent filter and the event-triggered parameters are also solved. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. |
| doi_str_mv | 10.1007/s00034-020-01511-w |
| format | Article |
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H
∞
filtering problem for discrete-time Markov jump systems with repeated scalar nonlinearities in an event-triggered communication scheme. An event-triggered scheme is proposed to determine whether the current data should be transmitted to the filter or not. Based on the time interval analysis approach, the discrete-time Markov jump system with network-induced delays under event-triggered communication scheme is converted into the discrete-time Markov jump time-delay system. By employing the positive-definite diagonally-dominant-type Lyapunov function technique, criteria are derived to guarantee the system is stochastically stable with a prescribed
H
∞
performance level. The correspondent filter and the event-triggered parameters are also solved. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.</description><identifier>ISSN: 0278-081X</identifier><identifier>EISSN: 1531-5878</identifier><identifier>DOI: 10.1007/s00034-020-01511-w</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Circuits and Systems ; Discrete time systems ; Electrical Engineering ; Electronics and Microelectronics ; Engineering ; Filtration ; H infinity ; Instrumentation ; Liapunov functions ; Signal,Image and Speech Processing ; Time delay systems</subject><ispartof>Circuits, systems, and signal processing, 2021-02, Vol.40 (2), p.669-690</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2020</rights><rights>Springer Science+Business Media, LLC, part of Springer Nature 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c234w-802ea7aab635b6e9849d345c2bdfea90b45446e79a8a911786160e18ce42c7243</citedby><cites>FETCH-LOGICAL-c234w-802ea7aab635b6e9849d345c2bdfea90b45446e79a8a911786160e18ce42c7243</cites><orcidid>0000-0001-6569-2093</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00034-020-01511-w$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00034-020-01511-w$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Wang, Huijiao</creatorcontrib><creatorcontrib>Ying, Yujia</creatorcontrib><creatorcontrib>Xue, Anke</creatorcontrib><title>Event-Triggered H∞ Filtering for Discrete-Time Markov Jump Systems with Repeated Scalar Nonlinearities</title><title>Circuits, systems, and signal processing</title><addtitle>Circuits Syst Signal Process</addtitle><description>This paper is concerned with the
H
∞
filtering problem for discrete-time Markov jump systems with repeated scalar nonlinearities in an event-triggered communication scheme. An event-triggered scheme is proposed to determine whether the current data should be transmitted to the filter or not. Based on the time interval analysis approach, the discrete-time Markov jump system with network-induced delays under event-triggered communication scheme is converted into the discrete-time Markov jump time-delay system. By employing the positive-definite diagonally-dominant-type Lyapunov function technique, criteria are derived to guarantee the system is stochastically stable with a prescribed
H
∞
performance level. The correspondent filter and the event-triggered parameters are also solved. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.</description><subject>Circuits and Systems</subject><subject>Discrete time systems</subject><subject>Electrical Engineering</subject><subject>Electronics and Microelectronics</subject><subject>Engineering</subject><subject>Filtration</subject><subject>H infinity</subject><subject>Instrumentation</subject><subject>Liapunov functions</subject><subject>Signal,Image and Speech Processing</subject><subject>Time delay systems</subject><issn>0278-081X</issn><issn>1531-5878</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kEFOwzAQRS0EEqVwAVaWWBvGjpM4S1RaCiog0SKxs5x00rq0SbDTRr0Bp-BwnISUIrFjNZv_3kiPkHMOlxwgvvIAEEgGAhjwkHPWHJAODwPOQhWrQ9IBESsGir8ekxPvFwA8kYnokHl_g0XNJs7OZuhwSodfH590YJc1OlvMaF46emN95rBGNrErpA_GvZUber9eVXS89TWuPG1sPafPWKGpW8U4M0vj6GNZLG2Bxtnaoj8lR7lZejz7vV3yMuhPekM2erq9612PWCYC2TAFAk1sTBoFYRphomQyDWSYiXSao0kglaGUEcaJUSbhPFYRjwC5ylCKLBYy6JKLvbdy5fsafa0X5doV7UstpIohSqIwaldiv8pc6b3DXFfOrozbag56V1Tvi-q2qP4pqpsWCvaQr3Zt0P2p_6G-ATCKesU</recordid><startdate>20210201</startdate><enddate>20210201</enddate><creator>Wang, Huijiao</creator><creator>Ying, Yujia</creator><creator>Xue, Anke</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7SP</scope><scope>7XB</scope><scope>88I</scope><scope>8AL</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope><orcidid>https://orcid.org/0000-0001-6569-2093</orcidid></search><sort><creationdate>20210201</creationdate><title>Event-Triggered H∞ Filtering for Discrete-Time Markov Jump Systems with Repeated Scalar Nonlinearities</title><author>Wang, Huijiao ; Ying, Yujia ; Xue, Anke</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c234w-802ea7aab635b6e9849d345c2bdfea90b45446e79a8a911786160e18ce42c7243</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Circuits and Systems</topic><topic>Discrete time systems</topic><topic>Electrical Engineering</topic><topic>Electronics and Microelectronics</topic><topic>Engineering</topic><topic>Filtration</topic><topic>H infinity</topic><topic>Instrumentation</topic><topic>Liapunov functions</topic><topic>Signal,Image and Speech Processing</topic><topic>Time delay systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Huijiao</creatorcontrib><creatorcontrib>Ying, Yujia</creatorcontrib><creatorcontrib>Xue, Anke</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Engineering 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><collection>Computing Database</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><jtitle>Circuits, systems, and signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Huijiao</au><au>Ying, Yujia</au><au>Xue, Anke</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Event-Triggered H∞ Filtering for Discrete-Time Markov Jump Systems with Repeated Scalar Nonlinearities</atitle><jtitle>Circuits, systems, and signal processing</jtitle><stitle>Circuits Syst Signal Process</stitle><date>2021-02-01</date><risdate>2021</risdate><volume>40</volume><issue>2</issue><spage>669</spage><epage>690</epage><pages>669-690</pages><issn>0278-081X</issn><eissn>1531-5878</eissn><abstract>This paper is concerned with the
H
∞
filtering problem for discrete-time Markov jump systems with repeated scalar nonlinearities in an event-triggered communication scheme. An event-triggered scheme is proposed to determine whether the current data should be transmitted to the filter or not. Based on the time interval analysis approach, the discrete-time Markov jump system with network-induced delays under event-triggered communication scheme is converted into the discrete-time Markov jump time-delay system. By employing the positive-definite diagonally-dominant-type Lyapunov function technique, criteria are derived to guarantee the system is stochastically stable with a prescribed
H
∞
performance level. The correspondent filter and the event-triggered parameters are also solved. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s00034-020-01511-w</doi><tpages>22</tpages><orcidid>https://orcid.org/0000-0001-6569-2093</orcidid></addata></record> |
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| issn | 0278-081X 1531-5878 |
| language | eng |
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| subjects | Circuits and Systems Discrete time systems Electrical Engineering Electronics and Microelectronics Engineering Filtration H infinity Instrumentation Liapunov functions Signal,Image and Speech Processing Time delay systems |
| title | Event-Triggered H∞ Filtering for Discrete-Time Markov Jump Systems with Repeated Scalar Nonlinearities |
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