A novel control scheme for a class of nonlinear systems with time delays based on fuzzy hyperbolic model

This paper concerns the problem of mixed H 2 /H infin control of a class of nonlinear continuous-time systems with time delays, which can be represented by a delayed fuzzy hyperbolic model (DFHM). The main advantage of using DFHM over T-S fuzzy model is that no premise structure identification is ne...

Full description

Saved in:
Bibliographic Details
Main Authors: Jun Yang, Huaguang Zhang, Derong Liu
Format: Conference Proceeding
Language:English
Subjects:
Delay effects
Fuzzy control
Fuzzy systems
Hydrogen
Nonlinear control systems
Nonlinear systems
Recurrent neural networks
Stability
Symmetric matrices
Transmission line matrix methods
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 1750
container_issue
container_start_page 1745
container_title
container_volume
creator Jun Yang
Huaguang Zhang
Derong Liu
description This paper concerns the problem of mixed H 2 /H infin control of a class of nonlinear continuous-time systems with time delays, which can be represented by a delayed fuzzy hyperbolic model (DFHM). The main advantage of using DFHM over T-S fuzzy model is that no premise structure identification is needed and no completeness design of premise variables space is needed. In addition, a DFHM is not only a kind of valid global description but also a kind of nonlinear model essentially. Based on delay-independent Lyapunov functional approach, some sufficient conditions for the existence of such a DFHM-based mixed H 2 /H infin controller are provided, which are given in terms of the feasibility of a set of linear matrix inequalities (LMIs). Simulation results show the validity of the proposed method.
doi_str_mv 10.1109/FUZZY.2009.5277350
format conference_proceeding
fullrecord <record><control><sourceid>ieee_6IE</sourceid><recordid>TN_cdi_ieee_primary_5277350</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>5277350</ieee_id><sourcerecordid>5277350</sourcerecordid><originalsourceid>FETCH-LOGICAL-i175t-e1d65b960d1d7f1b6a0406754c9b90e2f2d3aa080f5f9c99fbf5b05b718ebd063</originalsourceid><addsrcrecordid>eNpVkLFOwzAYhI0Aiar0BWD5XyDFjuM4HquKUqRKLHSgS2XHvxUjJ67iAEqfnkh04ZbTSd_dcIQ8MLpkjKqnzf5w-FjmlKqlyKXkgl6RhZIVK_Ki4EJJcf0vl9UNmU3FKpOiKu7IIqVPOqkQnHE2I80KuviNAerYDX0MkOoGWwQXe9BQB50SRDcxXfAd6h7SmAZsE_z4oYHBT6jFoMcERie0EDtwX-fzCM14wt7E4Gto44Tck1unQ8LFxedkv3l-X2-z3dvL63q1yzyTYsiQ2VIYVVLLrHTMlJoWtJSiqJVRFHOXW641ragTTtVKOeOEocJIVqGxtORz8vi36xHxeOp9q_vxePmK_wJ_K1ye</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>A novel control scheme for a class of nonlinear systems with time delays based on fuzzy hyperbolic model</title><source>IEEE Electronic Library (IEL) Conference Proceedings</source><creator>Jun Yang ; Huaguang Zhang ; Derong Liu</creator><creatorcontrib>Jun Yang ; Huaguang Zhang ; Derong Liu</creatorcontrib><description>This paper concerns the problem of mixed H 2 /H infin control of a class of nonlinear continuous-time systems with time delays, which can be represented by a delayed fuzzy hyperbolic model (DFHM). The main advantage of using DFHM over T-S fuzzy model is that no premise structure identification is needed and no completeness design of premise variables space is needed. In addition, a DFHM is not only a kind of valid global description but also a kind of nonlinear model essentially. Based on delay-independent Lyapunov functional approach, some sufficient conditions for the existence of such a DFHM-based mixed H 2 /H infin controller are provided, which are given in terms of the feasibility of a set of linear matrix inequalities (LMIs). Simulation results show the validity of the proposed method.</description><identifier>ISSN: 1098-7584</identifier><identifier>ISBN: 9781424435968</identifier><identifier>ISBN: 142443596X</identifier><identifier>EISBN: 9781424435975</identifier><identifier>EISBN: 1424435978</identifier><identifier>DOI: 10.1109/FUZZY.2009.5277350</identifier><language>eng</language><publisher>IEEE</publisher><subject>Delay effects ; Fuzzy control ; Fuzzy systems ; Hydrogen ; Nonlinear control systems ; Nonlinear systems ; Recurrent neural networks ; Stability ; Symmetric matrices ; Transmission line matrix methods</subject><ispartof>2009 IEEE International Conference on Fuzzy Systems, 2009, p.1745-1750</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5277350$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2058,27925,54920</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5277350$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Jun Yang</creatorcontrib><creatorcontrib>Huaguang Zhang</creatorcontrib><creatorcontrib>Derong Liu</creatorcontrib><title>A novel control scheme for a class of nonlinear systems with time delays based on fuzzy hyperbolic model</title><title>2009 IEEE International Conference on Fuzzy Systems</title><addtitle>FUZZY</addtitle><description>This paper concerns the problem of mixed H 2 /H infin control of a class of nonlinear continuous-time systems with time delays, which can be represented by a delayed fuzzy hyperbolic model (DFHM). The main advantage of using DFHM over T-S fuzzy model is that no premise structure identification is needed and no completeness design of premise variables space is needed. In addition, a DFHM is not only a kind of valid global description but also a kind of nonlinear model essentially. Based on delay-independent Lyapunov functional approach, some sufficient conditions for the existence of such a DFHM-based mixed H 2 /H infin controller are provided, which are given in terms of the feasibility of a set of linear matrix inequalities (LMIs). Simulation results show the validity of the proposed method.</description><subject>Delay effects</subject><subject>Fuzzy control</subject><subject>Fuzzy systems</subject><subject>Hydrogen</subject><subject>Nonlinear control systems</subject><subject>Nonlinear systems</subject><subject>Recurrent neural networks</subject><subject>Stability</subject><subject>Symmetric matrices</subject><subject>Transmission line matrix methods</subject><issn>1098-7584</issn><isbn>9781424435968</isbn><isbn>142443596X</isbn><isbn>9781424435975</isbn><isbn>1424435978</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2009</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><recordid>eNpVkLFOwzAYhI0Aiar0BWD5XyDFjuM4HquKUqRKLHSgS2XHvxUjJ67iAEqfnkh04ZbTSd_dcIQ8MLpkjKqnzf5w-FjmlKqlyKXkgl6RhZIVK_Ki4EJJcf0vl9UNmU3FKpOiKu7IIqVPOqkQnHE2I80KuviNAerYDX0MkOoGWwQXe9BQB50SRDcxXfAd6h7SmAZsE_z4oYHBT6jFoMcERie0EDtwX-fzCM14wt7E4Gto44Tck1unQ8LFxedkv3l-X2-z3dvL63q1yzyTYsiQ2VIYVVLLrHTMlJoWtJSiqJVRFHOXW641ragTTtVKOeOEocJIVqGxtORz8vi36xHxeOp9q_vxePmK_wJ_K1ye</recordid><startdate>200908</startdate><enddate>200908</enddate><creator>Jun Yang</creator><creator>Huaguang Zhang</creator><creator>Derong Liu</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope></search><sort><creationdate>200908</creationdate><title>A novel control scheme for a class of nonlinear systems with time delays based on fuzzy hyperbolic model</title><author>Jun Yang ; Huaguang Zhang ; Derong Liu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-e1d65b960d1d7f1b6a0406754c9b90e2f2d3aa080f5f9c99fbf5b05b718ebd063</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Delay effects</topic><topic>Fuzzy control</topic><topic>Fuzzy systems</topic><topic>Hydrogen</topic><topic>Nonlinear control systems</topic><topic>Nonlinear systems</topic><topic>Recurrent neural networks</topic><topic>Stability</topic><topic>Symmetric matrices</topic><topic>Transmission line matrix methods</topic><toplevel>online_resources</toplevel><creatorcontrib>Jun Yang</creatorcontrib><creatorcontrib>Huaguang Zhang</creatorcontrib><creatorcontrib>Derong Liu</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Xplore</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Jun Yang</au><au>Huaguang Zhang</au><au>Derong Liu</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>A novel control scheme for a class of nonlinear systems with time delays based on fuzzy hyperbolic model</atitle><btitle>2009 IEEE International Conference on Fuzzy Systems</btitle><stitle>FUZZY</stitle><date>2009-08</date><risdate>2009</risdate><spage>1745</spage><epage>1750</epage><pages>1745-1750</pages><issn>1098-7584</issn><isbn>9781424435968</isbn><isbn>142443596X</isbn><eisbn>9781424435975</eisbn><eisbn>1424435978</eisbn><abstract>This paper concerns the problem of mixed H 2 /H infin control of a class of nonlinear continuous-time systems with time delays, which can be represented by a delayed fuzzy hyperbolic model (DFHM). The main advantage of using DFHM over T-S fuzzy model is that no premise structure identification is needed and no completeness design of premise variables space is needed. In addition, a DFHM is not only a kind of valid global description but also a kind of nonlinear model essentially. Based on delay-independent Lyapunov functional approach, some sufficient conditions for the existence of such a DFHM-based mixed H 2 /H infin controller are provided, which are given in terms of the feasibility of a set of linear matrix inequalities (LMIs). Simulation results show the validity of the proposed method.</abstract><pub>IEEE</pub><doi>10.1109/FUZZY.2009.5277350</doi><tpages>6</tpages></addata></record>
fulltext fulltext_linktorsrc
identifier ISSN: 1098-7584
ispartof 2009 IEEE International Conference on Fuzzy Systems, 2009, p.1745-1750
issn 1098-7584
language eng
recordid cdi_ieee_primary_5277350
source IEEE Electronic Library (IEL) Conference Proceedings
subjects Delay effects
Fuzzy control
Fuzzy systems
Hydrogen
Nonlinear control systems
Nonlinear systems
Recurrent neural networks
Stability
Symmetric matrices
Transmission line matrix methods
title A novel control scheme for a class of nonlinear systems with time delays based on fuzzy hyperbolic model
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T14%3A24%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_6IE&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=A%20novel%20control%20scheme%20for%20a%20class%20of%20nonlinear%20systems%20with%20time%20delays%20based%20on%20fuzzy%20hyperbolic%20model&rft.btitle=2009%20IEEE%20International%20Conference%20on%20Fuzzy%20Systems&rft.au=Jun%20Yang&rft.date=2009-08&rft.spage=1745&rft.epage=1750&rft.pages=1745-1750&rft.issn=1098-7584&rft.isbn=9781424435968&rft.isbn_list=142443596X&rft_id=info:doi/10.1109/FUZZY.2009.5277350&rft.eisbn=9781424435975&rft.eisbn_list=1424435978&rft_dat=%3Cieee_6IE%3E5277350%3C/ieee_6IE%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-i175t-e1d65b960d1d7f1b6a0406754c9b90e2f2d3aa080f5f9c99fbf5b05b718ebd063%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=5277350&rfr_iscdi=true