Finite-Time L2-Gain Asynchronous Control for Continuous-Time Positive Hidden Markov Jump Systems via T-S Fuzzy Model Approach
This article investigates the finite-time asynchronous control problem for continuous-time positive hidden Markov jump systems (HMJSs) by using the Takagi-Sugeno fuzzy model method. Different from the existing methods, the Markov jump systems under consideration are considered with the hidden Markov...
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| Veröffentlicht in: | IEEE transactions on cybernetics 2021-01, Vol.51 (1), p.77-87 |
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| creator | Ren, Chengcheng He, Shuping Luan, Xiaoli Liu, Fei Karimi, Hamid Reza |
| description | This article investigates the finite-time asynchronous control problem for continuous-time positive hidden Markov jump systems (HMJSs) by using the Takagi-Sugeno fuzzy model method. Different from the existing methods, the Markov jump systems under consideration are considered with the hidden Markov model in the continuous-time case, that is, the Markov model consists of the hidden state and the observed state. We aim to derive a suitable controller that depends on the observation mode which makes the closed-loop fuzzy HMJSs be stochastically finite-time bounded and positive, and fulfill the given L_{2} performance index. Applying the stochastic Lyapunov-Krasovskii functional (SLKF) methods, we establish sufficient conditions to obtain the finite-time state-feedback controller. Finally, a Lotka-Volterra population model is used to show the feasibility and validity of the main results. |
| doi_str_mv | 10.1109/TCYB.2020.2996743 |
| format | Article |
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Different from the existing methods, the Markov jump systems under consideration are considered with the hidden Markov model in the continuous-time case, that is, the Markov model consists of the hidden state and the observed state. We aim to derive a suitable controller that depends on the observation mode which makes the closed-loop fuzzy HMJSs be stochastically finite-time bounded and positive, and fulfill the given <inline-formula> <tex-math notation="LaTeX">L_{2} </tex-math></inline-formula> performance index. Applying the stochastic Lyapunov-Krasovskii functional (SLKF) methods, we establish sufficient conditions to obtain the finite-time state-feedback controller. Finally, a Lotka-Volterra population model is used to show the feasibility and validity of the main results.</description><identifier>ISSN: 2168-2267</identifier><identifier>EISSN: 2168-2275</identifier><identifier>DOI: 10.1109/TCYB.2020.2996743</identifier><identifier>PMID: 32520716</identifier><identifier>CODEN: ITCEB8</identifier><language>eng</language><publisher>Piscataway: IEEE</publisher><subject>Asynchronous control ; Feedback control ; finite-time bounded ; Fuzzy systems ; Hidden Markov jump systems (HMJSs) ; Hidden Markov models ; L2 gain ; Markov chains ; Markov processes ; Networked control systems ; Nonlinear systems ; Performance indices ; positive systems ; Stability analysis ; Takagi–Sugeno (T–S) fuzzy model</subject><ispartof>IEEE transactions on cybernetics, 2021-01, Vol.51 (1), p.77-87</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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Different from the existing methods, the Markov jump systems under consideration are considered with the hidden Markov model in the continuous-time case, that is, the Markov model consists of the hidden state and the observed state. We aim to derive a suitable controller that depends on the observation mode which makes the closed-loop fuzzy HMJSs be stochastically finite-time bounded and positive, and fulfill the given <inline-formula> <tex-math notation="LaTeX">L_{2} </tex-math></inline-formula> performance index. Applying the stochastic Lyapunov-Krasovskii functional (SLKF) methods, we establish sufficient conditions to obtain the finite-time state-feedback controller. Finally, a Lotka-Volterra population model is used to show the feasibility and validity of the main results.</description><subject>Asynchronous control</subject><subject>Feedback control</subject><subject>finite-time bounded</subject><subject>Fuzzy systems</subject><subject>Hidden Markov jump systems (HMJSs)</subject><subject>Hidden Markov models</subject><subject>L2 gain</subject><subject>Markov chains</subject><subject>Markov processes</subject><subject>Networked control systems</subject><subject>Nonlinear systems</subject><subject>Performance indices</subject><subject>positive systems</subject><subject>Stability analysis</subject><subject>Takagi–Sugeno (T–S) fuzzy model</subject><issn>2168-2267</issn><issn>2168-2275</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkE1Lw0AQhhdRVLQ_QLwsePGSujubJtljDbZVWhQaD57KNpnF1WS3ZpNCBf-7ixUPzmWGl2c-3iHkgrMh50zeFPnL7RAYsCFImaSxOCCnwJMsAkhHh391kp6QgfdvLEQWJJkdkxMBI2ApT07J18RY02FUmAbpHKKpMpaO_c6Wr62zrvc0d7ZrXU21a39qY_sg7xuenDed2SKdmapCSxeqfXdb-tA3G7rc-Q4bT7dG0SJa0kn_-bmjC1dhTcebTetU-XpOjrSqPQ5-8xl5ntwV-SyaP07v8_E8MnzEu2itY4moIRZsJEseVxgzXAupKpQqFTJVpQ6mM8W0VoBJFqtE6hK0KNdZKVGckev93LD2o0ffrRrjS6xrZTGYWUHMATiDhAX06h_65vrWhusClYLgafh5oC73lEHE1aY1jWp3K8m5gBjEN_m6euo</recordid><startdate>202101</startdate><enddate>202101</enddate><creator>Ren, Chengcheng</creator><creator>He, Shuping</creator><creator>Luan, Xiaoli</creator><creator>Liu, Fei</creator><creator>Karimi, Hamid Reza</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0003-1869-2116</orcidid><orcidid>https://orcid.org/0000-0002-4805-1726</orcidid><orcidid>https://orcid.org/0000-0002-0785-9729</orcidid><orcidid>https://orcid.org/0000-0001-7160-2605</orcidid><orcidid>https://orcid.org/0000-0001-7629-3266</orcidid></search><sort><creationdate>202101</creationdate><title>Finite-Time L2-Gain Asynchronous Control for Continuous-Time Positive Hidden Markov Jump Systems via T-S Fuzzy Model Approach</title><author>Ren, Chengcheng ; He, Shuping ; Luan, Xiaoli ; Liu, Fei ; Karimi, Hamid Reza</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i151t-bf49eef243059c14de40eb39ade9a7397acf2758a0ffa2e684a69fc2f3cb8c9e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Asynchronous control</topic><topic>Feedback control</topic><topic>finite-time bounded</topic><topic>Fuzzy systems</topic><topic>Hidden Markov jump systems (HMJSs)</topic><topic>Hidden Markov models</topic><topic>L2 gain</topic><topic>Markov chains</topic><topic>Markov processes</topic><topic>Networked control systems</topic><topic>Nonlinear systems</topic><topic>Performance indices</topic><topic>positive systems</topic><topic>Stability analysis</topic><topic>Takagi–Sugeno (T–S) fuzzy model</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ren, Chengcheng</creatorcontrib><creatorcontrib>He, Shuping</creatorcontrib><creatorcontrib>Luan, Xiaoli</creatorcontrib><creatorcontrib>Liu, Fei</creatorcontrib><creatorcontrib>Karimi, Hamid Reza</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>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Aerospace 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><collection>MEDLINE - Academic</collection><jtitle>IEEE transactions on cybernetics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ren, Chengcheng</au><au>He, Shuping</au><au>Luan, Xiaoli</au><au>Liu, Fei</au><au>Karimi, Hamid Reza</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Finite-Time L2-Gain Asynchronous Control for Continuous-Time Positive Hidden Markov Jump Systems via T-S Fuzzy Model Approach</atitle><jtitle>IEEE transactions on cybernetics</jtitle><stitle>TCYB</stitle><date>2021-01</date><risdate>2021</risdate><volume>51</volume><issue>1</issue><spage>77</spage><epage>87</epage><pages>77-87</pages><issn>2168-2267</issn><eissn>2168-2275</eissn><coden>ITCEB8</coden><abstract>This article investigates the finite-time asynchronous control problem for continuous-time positive hidden Markov jump systems (HMJSs) by using the Takagi-Sugeno fuzzy model method. Different from the existing methods, the Markov jump systems under consideration are considered with the hidden Markov model in the continuous-time case, that is, the Markov model consists of the hidden state and the observed state. We aim to derive a suitable controller that depends on the observation mode which makes the closed-loop fuzzy HMJSs be stochastically finite-time bounded and positive, and fulfill the given <inline-formula> <tex-math notation="LaTeX">L_{2} </tex-math></inline-formula> performance index. Applying the stochastic Lyapunov-Krasovskii functional (SLKF) methods, we establish sufficient conditions to obtain the finite-time state-feedback controller. 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| subjects | Asynchronous control Feedback control finite-time bounded Fuzzy systems Hidden Markov jump systems (HMJSs) Hidden Markov models L2 gain Markov chains Markov processes Networked control systems Nonlinear systems Performance indices positive systems Stability analysis Takagi–Sugeno (T–S) fuzzy model |
| title | Finite-Time L2-Gain Asynchronous Control for Continuous-Time Positive Hidden Markov Jump Systems via T-S Fuzzy Model Approach |
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