Robust H∞ fuzzy control design for dithered nonlinear large‐scale systems with multiple time delays
Summary A novel approach is proposed in this study to stabilize nonlinear multiple time‐delay (NMTD) large‐scale systems via a composite of fuzzy controllers and dithers. Moreover, a delay‐dependent stability criterion is derived from Lyapunov's direct method. According to this criterion and th...
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| Veröffentlicht in: | Optimal control applications & methods 2019-03, Vol.40 (2), p.203-225 |
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| container_title | Optimal control applications & methods |
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| creator | Hsiao, Feng‐Hsiag |
| description | Summary
A novel approach is proposed in this study to stabilize nonlinear multiple time‐delay (NMTD) large‐scale systems via a composite of fuzzy controllers and dithers. Moreover, a delay‐dependent stability criterion is derived from Lyapunov's direct method. According to this criterion and the decentralized control scheme, a set of model‐based fuzzy controllers is synthesized to stabilize the NMTD large‐scale system and the H∞ control performance is achieved at the same time. If the designed fuzzy controllers cannot stabilize the NMTD large‐scale system, a set of dithers (as the auxiliaries of fuzzy controllers) is simultaneously introduced to stabilize the NMTD large‐scale system. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this paper. |
| doi_str_mv | 10.1002/oca.2474 |
| format | Article |
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A novel approach is proposed in this study to stabilize nonlinear multiple time‐delay (NMTD) large‐scale systems via a composite of fuzzy controllers and dithers. Moreover, a delay‐dependent stability criterion is derived from Lyapunov's direct method. According to this criterion and the decentralized control scheme, a set of model‐based fuzzy controllers is synthesized to stabilize the NMTD large‐scale system and the H∞ control performance is achieved at the same time. If the designed fuzzy controllers cannot stabilize the NMTD large‐scale system, a set of dithers (as the auxiliaries of fuzzy controllers) is simultaneously introduced to stabilize the NMTD large‐scale system. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this paper.</description><identifier>ISSN: 0143-2087</identifier><identifier>EISSN: 1099-1514</identifier><identifier>DOI: 10.1002/oca.2474</identifier><language>eng</language><publisher>Glasgow: Wiley Subscription Services, Inc</publisher><subject>Computer simulation ; Control stability ; Controllers ; Decentralized control ; Delay ; delay‐dependent stability criterion ; dither ; Dithers ; Fuzzy control ; Fuzzy sets ; Fuzzy systems ; H-infinity control ; large‐scale system ; Liapunov direct method ; Mathematical models ; Nonlinear control ; Nonlinear systems ; Robust control ; Robustness (mathematics) ; Stability criteria ; T‐S fuzzy models</subject><ispartof>Optimal control applications & methods, 2019-03, Vol.40 (2), p.203-225</ispartof><rights>2018 John Wiley & Sons, Ltd.</rights><rights>2019 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2084-2451beccac7ab3107d80b08bb65ecb9dcb9cf22129900f75efe0bf355956d5123</citedby><cites>FETCH-LOGICAL-c2084-2451beccac7ab3107d80b08bb65ecb9dcb9cf22129900f75efe0bf355956d5123</cites><orcidid>0000-0001-6416-7182</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Foca.2474$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Foca.2474$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27903,27904,45553,45554</link.rule.ids></links><search><creatorcontrib>Hsiao, Feng‐Hsiag</creatorcontrib><title>Robust H∞ fuzzy control design for dithered nonlinear large‐scale systems with multiple time delays</title><title>Optimal control applications & methods</title><description>Summary
A novel approach is proposed in this study to stabilize nonlinear multiple time‐delay (NMTD) large‐scale systems via a composite of fuzzy controllers and dithers. Moreover, a delay‐dependent stability criterion is derived from Lyapunov's direct method. According to this criterion and the decentralized control scheme, a set of model‐based fuzzy controllers is synthesized to stabilize the NMTD large‐scale system and the H∞ control performance is achieved at the same time. If the designed fuzzy controllers cannot stabilize the NMTD large‐scale system, a set of dithers (as the auxiliaries of fuzzy controllers) is simultaneously introduced to stabilize the NMTD large‐scale system. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this paper.</description><subject>Computer simulation</subject><subject>Control stability</subject><subject>Controllers</subject><subject>Decentralized control</subject><subject>Delay</subject><subject>delay‐dependent stability criterion</subject><subject>dither</subject><subject>Dithers</subject><subject>Fuzzy control</subject><subject>Fuzzy sets</subject><subject>Fuzzy systems</subject><subject>H-infinity control</subject><subject>large‐scale system</subject><subject>Liapunov direct method</subject><subject>Mathematical models</subject><subject>Nonlinear control</subject><subject>Nonlinear systems</subject><subject>Robust control</subject><subject>Robustness (mathematics)</subject><subject>Stability criteria</subject><subject>T‐S fuzzy models</subject><issn>0143-2087</issn><issn>1099-1514</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp10M1KAzEQB_AgCtYq-AgBL162TrKb_TiWolYoFETPIclm65bspia7lO3Jo0efwIfrk5harx6GgeHHzPBH6JrAhADQO6vEhCZZcoJGBIoiIowkp2gEJIkjCnl2ji68XwNARmI6QqtnK3vf4fn-8xtX_W43YGXbzlmDS-3rVYsr63BZd2_a6RK3tjV1q4XDRriV3n98eSWMxn7wnW483gaIm9509SZMu7rRYY0Rg79EZ5UwXl_99TF6fbh_mc2jxfLxaTZdRCo8l0Q0YURqpYTKhIwJZGUOEnIpU6aVLMpQqqKU0KIAqDKmKw2yihkrWFoyQuMxujnu3Tj73mvf8bXtXRtOckryHNI0S5Ogbo9KOeu90xXfuLoRbuAE-CFGHmLkhxgDjY50Wxs9_Ov4cjb99T-rsXbg</recordid><startdate>201903</startdate><enddate>201903</enddate><creator>Hsiao, Feng‐Hsiag</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0001-6416-7182</orcidid></search><sort><creationdate>201903</creationdate><title>Robust H∞ fuzzy control design for dithered nonlinear large‐scale systems with multiple time delays</title><author>Hsiao, Feng‐Hsiag</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2084-2451beccac7ab3107d80b08bb65ecb9dcb9cf22129900f75efe0bf355956d5123</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Computer simulation</topic><topic>Control stability</topic><topic>Controllers</topic><topic>Decentralized control</topic><topic>Delay</topic><topic>delay‐dependent stability criterion</topic><topic>dither</topic><topic>Dithers</topic><topic>Fuzzy control</topic><topic>Fuzzy sets</topic><topic>Fuzzy systems</topic><topic>H-infinity control</topic><topic>large‐scale system</topic><topic>Liapunov direct method</topic><topic>Mathematical models</topic><topic>Nonlinear control</topic><topic>Nonlinear systems</topic><topic>Robust control</topic><topic>Robustness (mathematics)</topic><topic>Stability criteria</topic><topic>T‐S fuzzy models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hsiao, Feng‐Hsiag</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Optimal control applications & methods</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hsiao, Feng‐Hsiag</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Robust H∞ fuzzy control design for dithered nonlinear large‐scale systems with multiple time delays</atitle><jtitle>Optimal control applications & methods</jtitle><date>2019-03</date><risdate>2019</risdate><volume>40</volume><issue>2</issue><spage>203</spage><epage>225</epage><pages>203-225</pages><issn>0143-2087</issn><eissn>1099-1514</eissn><abstract>Summary
A novel approach is proposed in this study to stabilize nonlinear multiple time‐delay (NMTD) large‐scale systems via a composite of fuzzy controllers and dithers. Moreover, a delay‐dependent stability criterion is derived from Lyapunov's direct method. According to this criterion and the decentralized control scheme, a set of model‐based fuzzy controllers is synthesized to stabilize the NMTD large‐scale system and the H∞ control performance is achieved at the same time. If the designed fuzzy controllers cannot stabilize the NMTD large‐scale system, a set of dithers (as the auxiliaries of fuzzy controllers) is simultaneously introduced to stabilize the NMTD large‐scale system. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this paper.</abstract><cop>Glasgow</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/oca.2474</doi><tpages>1</tpages><orcidid>https://orcid.org/0000-0001-6416-7182</orcidid></addata></record> |
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| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Computer simulation Control stability Controllers Decentralized control Delay delay‐dependent stability criterion dither Dithers Fuzzy control Fuzzy sets Fuzzy systems H-infinity control large‐scale system Liapunov direct method Mathematical models Nonlinear control Nonlinear systems Robust control Robustness (mathematics) Stability criteria T‐S fuzzy models |
| title | Robust H∞ fuzzy control design for dithered nonlinear large‐scale systems with multiple time delays |
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