Adaptive Fuzzy Control for Stochastic Nonlinear Systems With Delayed Input and Delayed State Via Improved Lyapunov-Krasovskii Function
The aim of this study is to address the challenges presented by the nonstrict feedback (NSF) stochastic nonlinear systems structure with delayed state and delayed input. The Pade approximation and an intermediate variable are used to handle the input delay, transforming the original system into one...
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| creator | Peng, Yanru Xu, Shengyuan Park, Ju H. |
| description | The aim of this study is to address the challenges presented by the nonstrict feedback (NSF) stochastic nonlinear systems structure with delayed state and delayed input. The Pade approximation and an intermediate variable are used to handle the input delay, transforming the original system into one that is perturbed only by the state delay. Subsequently, a novel Lyapunov-Krasovskii function (LKF) related to all states is proposed to effectively compensate for the delay term. Additionally, fuzzy logic systems (FLSs) and the variable separation concept are employed to manage the complexity of the system structure. Based on the fixed-time Lyapunov criterion, the closed-loop system bounded in probability is guaranteed within a fixed time, and all signals in the system are bounded. Finally, two stochastic nonlinear systems are utilized to demonstrate the effectiveness of the proposed control strategy. |
| doi_str_mv | 10.1109/TFUZZ.2024.3486574 |
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Finally, two stochastic nonlinear systems are utilized to demonstrate the effectiveness of the proposed control strategy.</description><subject>Adaptive fuzzy control</subject><subject>Backstepping</subject><subject>Control design</subject><subject>Delay effects</subject><subject>delayed input and delayed state</subject><subject>Delays</subject><subject>fixed-time control</subject><subject>Fuzzy control</subject><subject>Fuzzy logic</subject><subject>lyapunov-krasovskii function</subject><subject>Nonlinear systems</subject><subject>Stability criteria</subject><subject>Stochastic systems</subject><subject>Vectors</subject><issn>1063-6706</issn><issn>1941-0034</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkE1OwzAQRiMEEqVwAcTCF0jxT-LEy6pQqKhg0QJSN9HUcVRDake2Gyk9AOcmpQixmtEbfTOaF0XXBI8IweJ2OX1drUYU02TEkpynWXISDYhISIwxS077HnMW8wzz8-jC-w-MSZKSfBB9jUtogm4Vmu72-w5NrAnO1qiyDi2ClRvwQUv0bE2tjYIedj6orUfvOmzQnaqhUyWamWYXEJjyjywCBIXeNKDZtnG27dG8g2ZnbBs_OfC29Z9a90eNDNqay-isgtqrq986jJbT--XkMZ6_PMwm43ksef9LydY0ZURla-BMSZrJTIg05VxhDjlmFeEVCI5TyqQQWIm8BIpBgVjntB-zYUSPa6Wz3jtVFY3TW3BdQXBxEFn8iCwOIotfkX3o5hjSSql_gYylTBD2Db1ecjY</recordid><startdate>20241024</startdate><enddate>20241024</enddate><creator>Peng, Yanru</creator><creator>Xu, Shengyuan</creator><creator>Park, Ju H.</creator><general>IEEE</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-3015-0662</orcidid><orcidid>https://orcid.org/0009-0005-2321-7741</orcidid><orcidid>https://orcid.org/0000-0002-0218-2333</orcidid></search><sort><creationdate>20241024</creationdate><title>Adaptive Fuzzy Control for Stochastic Nonlinear Systems With Delayed Input and Delayed State Via Improved Lyapunov-Krasovskii Function</title><author>Peng, Yanru ; Xu, Shengyuan ; Park, Ju H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c641-d3b2531e7ba63ec27c7995566e06a803f16fa960523c990e98da20aea9b8203f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Adaptive fuzzy control</topic><topic>Backstepping</topic><topic>Control design</topic><topic>Delay effects</topic><topic>delayed input and delayed state</topic><topic>Delays</topic><topic>fixed-time control</topic><topic>Fuzzy control</topic><topic>Fuzzy logic</topic><topic>lyapunov-krasovskii function</topic><topic>Nonlinear systems</topic><topic>Stability criteria</topic><topic>Stochastic systems</topic><topic>Vectors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Peng, Yanru</creatorcontrib><creatorcontrib>Xu, Shengyuan</creatorcontrib><creatorcontrib>Park, Ju H.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><jtitle>IEEE transactions on fuzzy systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Peng, Yanru</au><au>Xu, Shengyuan</au><au>Park, Ju H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Adaptive Fuzzy Control for Stochastic Nonlinear Systems With Delayed Input and Delayed State Via Improved Lyapunov-Krasovskii Function</atitle><jtitle>IEEE transactions on fuzzy systems</jtitle><stitle>TFUZZ</stitle><date>2024-10-24</date><risdate>2024</risdate><spage>1</spage><epage>10</epage><pages>1-10</pages><issn>1063-6706</issn><eissn>1941-0034</eissn><coden>IEFSEV</coden><abstract>The aim of this study is to address the challenges presented by the nonstrict feedback (NSF) stochastic nonlinear systems structure with delayed state and delayed input. The Pade approximation and an intermediate variable are used to handle the input delay, transforming the original system into one that is perturbed only by the state delay. Subsequently, a novel Lyapunov-Krasovskii function (LKF) related to all states is proposed to effectively compensate for the delay term. Additionally, fuzzy logic systems (FLSs) and the variable separation concept are employed to manage the complexity of the system structure. Based on the fixed-time Lyapunov criterion, the closed-loop system bounded in probability is guaranteed within a fixed time, and all signals in the system are bounded. 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| subjects | Adaptive fuzzy control Backstepping Control design Delay effects delayed input and delayed state Delays fixed-time control Fuzzy control Fuzzy logic lyapunov-krasovskii function Nonlinear systems Stability criteria Stochastic systems Vectors |
| title | Adaptive Fuzzy Control for Stochastic Nonlinear Systems With Delayed Input and Delayed State Via Improved Lyapunov-Krasovskii Function |
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