Filtering for Discrete-Time Takagi-Sugeno Fuzzy Nonhomogeneous Markov Jump Systems With Quantization Effects
This article deals with the problem of H_{\infty } and l_{2}-l_{\infty } filtering for discrete-time Takagi-Sugeno fuzzy nonhomogeneous Markov jump systems with quantization effects, respectively. The time-varying transition probabilities are in a polytope set. To reduce conservativeness, a mode...
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| Veröffentlicht in: | IEEE transactions on cybernetics 2022-02, Vol.52 (2), p.982-995 |
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| creator | Hua, Mingang Qian, Yangyang Deng, Feiqi Fei, Juntao Cheng, Pei Chen, Hua |
| description | This article deals with the problem of H_{\infty } and l_{2}-l_{\infty } filtering for discrete-time Takagi-Sugeno fuzzy nonhomogeneous Markov jump systems with quantization effects, respectively. The time-varying transition probabilities are in a polytope set. To reduce conservativeness, a mode-dependent logarithmic quantizer is considered in this article. Based on the fuzzy-rule-dependent Lyapunov function, sufficient conditions are given such that the filtering error system is stochastically stable and has a prescribed H_{\infty } or l_{2}-l_{\infty } performance index, respectively. Finally, a practical example is provided to illustrate the effectiveness of the proposed fuzzy filter design methods. |
| doi_str_mv | 10.1109/TCYB.2020.2991159 |
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The time-varying transition probabilities are in a polytope set. To reduce conservativeness, a mode-dependent logarithmic quantizer is considered in this article. Based on the fuzzy-rule-dependent Lyapunov function, sufficient conditions are given such that the filtering error system is stochastically stable and has a prescribed <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> or <inline-formula> <tex-math notation="LaTeX">l_{2}-l_{\infty } </tex-math></inline-formula> performance index, respectively. 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The time-varying transition probabilities are in a polytope set. To reduce conservativeness, a mode-dependent logarithmic quantizer is considered in this article. Based on the fuzzy-rule-dependent Lyapunov function, sufficient conditions are given such that the filtering error system is stochastically stable and has a prescribed <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> or <inline-formula> <tex-math notation="LaTeX">l_{2}-l_{\infty } </tex-math></inline-formula> performance index, respectively. Finally, a practical example is provided to illustrate the effectiveness of the proposed fuzzy filter design methods.]]></description><subject><italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H∞ and <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">l ₂ – <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">l∞ filtering</subject><subject>Control systems</subject><subject>Design methodology</subject><subject>Discrete time</subject><subject>Discrete-time systems</subject><subject>Filter design (mathematics)</subject><subject>Liapunov functions</subject><subject>Markov jump systems (MJSs)</subject><subject>Markov processes</subject><subject>Measurement</subject><subject>nonhomogeneous</subject><subject>Performance indices</subject><subject>quantization</subject><subject>Quantization (signal)</subject><subject>Robustness</subject><subject>Takagi-Sugeno model</subject><subject>Takagi–Sugeno (T–S) fuzzy</subject><subject>Transition probabilities</subject><issn>2168-2267</issn><issn>2168-2275</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkUGP0zAQhS0EYldlfwBCQpa4cEmxx3ESH6FsWdACQluEOFlOMu56N4m7doLU_vp1aekBX2yNv3l6M4-Ql5zNOWfq3Wrx-8McGLA5KMW5VE_IOfCiygBK-fT0LsozchHjHUunSiVVPSdnAnIJFYNz0i1dN2Jww5paH-hHF5uAI2Yr1yNdmXuzdtnNtMbB0-W0223pNz_c-t6nCvop0q8m3Ps_9MvUb-jNNo7YR_rLjbf0x2SG0e3M6PxAL63FZowvyDNruogXx3tGfi4vV4ur7Pr7p8-L99dZI3I1ZsKiNG2rytJYIbjIc8vrSkCh6lpYZphscsEBWcvrFnkjkZcKbCELk1dCWjEjbw-6m-AfJoyj7tNc2HXmr2kNOStUDpJDQt_8h975KQzJnYYCFAdZJAczwg9UE3yMAa3eBNebsNWc6X0aep-G3qehj2mkntdH5anusT11_Nt9Al4dAIeIp2_FVJm8iUfcIo4N</recordid><startdate>20220201</startdate><enddate>20220201</enddate><creator>Hua, Mingang</creator><creator>Qian, Yangyang</creator><creator>Deng, Feiqi</creator><creator>Fei, Juntao</creator><creator>Cheng, Pei</creator><creator>Chen, Hua</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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The time-varying transition probabilities are in a polytope set. To reduce conservativeness, a mode-dependent logarithmic quantizer is considered in this article. Based on the fuzzy-rule-dependent Lyapunov function, sufficient conditions are given such that the filtering error system is stochastically stable and has a prescribed <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> or <inline-formula> <tex-math notation="LaTeX">l_{2}-l_{\infty } </tex-math></inline-formula> performance index, respectively. Finally, a practical example is provided to illustrate the effectiveness of the proposed fuzzy filter design methods.]]></abstract><cop>United States</cop><pub>IEEE</pub><pmid>32452802</pmid><doi>10.1109/TCYB.2020.2991159</doi><tpages>14</tpages><orcidid>https://orcid.org/0000-0001-7954-2125</orcidid><orcidid>https://orcid.org/0000-0002-0257-5647</orcidid><orcidid>https://orcid.org/0000-0003-2406-6525</orcidid></addata></record> |
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| title | Filtering for Discrete-Time Takagi-Sugeno Fuzzy Nonhomogeneous Markov Jump Systems With Quantization Effects |
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