Reduced Model-Based Fault Detector and Controller Design for Discrete-Time Switching Fuzzy Systems
The reduced model-based coordinated design of fault detectors and controllers for discrete-time switching fuzzy systems is examined. First, the mean-square exponential stabilization of switching Takagi-Sugeno fuzzy systems is performed using the average dwell time method under an arbitrary switching...
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| Veröffentlicht in: | IEEE transactions on fuzzy systems 2023-02, Vol.31 (2), p.669-681 |
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| container_title | IEEE transactions on fuzzy systems |
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| creator | Tan, Yaoyao Su, Xiaojie Bing, Zhenshan Yang, Xiaokui Knoll, Alois |
| description | The reduced model-based coordinated design of fault detectors and controllers for discrete-time switching fuzzy systems is examined. First, the mean-square exponential stabilization of switching Takagi-Sugeno fuzzy systems is performed using the average dwell time method under an arbitrary switching law. Next, using segmented Lyapunov function techniques, a dynamic full- and reduced-order fault detector and controller is designed to ensure that the overall dynamic residual system is mean-square exponentially stable with a balanced \mathcal {H}_{\infty } performance level (\xi, \beta). The solvability conditions for the fault detector and controller are derived using a linearization method, and the relevant parameters can be determined using the mathematical linear matrix solver toolbox. Two examples including a switching Chua's circuit system are presented to demonstrate the effectiveness of the proposed fault detector and controller. |
| doi_str_mv | 10.1109/TFUZZ.2022.3187195 |
| format | Article |
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First, the mean-square exponential stabilization of switching Takagi-Sugeno fuzzy systems is performed using the average dwell time method under an arbitrary switching law. Next, using segmented Lyapunov function techniques, a dynamic full- and reduced-order fault detector and controller is designed to ensure that the overall dynamic residual system is mean-square exponentially stable with a balanced <inline-formula><tex-math notation="LaTeX">\mathcal {H}_{\infty }</tex-math></inline-formula> performance level <inline-formula><tex-math notation="LaTeX">(\xi, \beta)</tex-math></inline-formula>. The solvability conditions for the fault detector and controller are derived using a linearization method, and the relevant parameters can be determined using the mathematical linear matrix solver toolbox. 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First, the mean-square exponential stabilization of switching Takagi-Sugeno fuzzy systems is performed using the average dwell time method under an arbitrary switching law. Next, using segmented Lyapunov function techniques, a dynamic full- and reduced-order fault detector and controller is designed to ensure that the overall dynamic residual system is mean-square exponentially stable with a balanced <inline-formula><tex-math notation="LaTeX">\mathcal {H}_{\infty }</tex-math></inline-formula> performance level <inline-formula><tex-math notation="LaTeX">(\xi, \beta)</tex-math></inline-formula>. The solvability conditions for the fault detector and controller are derived using a linearization method, and the relevant parameters can be determined using the mathematical linear matrix solver toolbox. Two examples including a switching Chua's circuit system are presented to demonstrate the effectiveness of the proposed fault detector and controller.]]></description><subject>Control systems</subject><subject>Control systems design</subject><subject>Controllers</subject><subject>Discrete time systems</subject><subject>Dwell time</subject><subject>Fault detection</subject><subject>fuzzy control</subject><subject>Fuzzy systems</subject><subject>Liapunov functions</subject><subject>switched systems</subject><subject>Switches</subject><subject>Switching</subject><subject>Takagi-Sugeno model</subject><subject>Uncertainty</subject><subject>Vehicle dynamics</subject><issn>1063-6706</issn><issn>1941-0034</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kM1OwzAQhCMEEqXwAnCxxDnFjhP_HKElgFSERNtLL1birEuqNCm2I9Q-PS6tOO1od2Z39UXRLcEjQrB8mOeL5XKU4CQZUSI4kdlZNCAyJTHGND0PGjMaM47ZZXTl3BpjkmZEDKLyE6peQ4Xeuwqa-KlwQedF33g0AQ_adxYVbYXGXett1zRgQ9_VqxaZMJnUTttgi-f1BtDsp_b6q25XKO_3-x2a7ZyHjbuOLkzROLg51WG0yJ_n49d4-vHyNn6cxppS6WORFZSkABpjmYiCkJLRFMqCaRO-layknAtqDANJTam5xoRLzCpqeFmVktJhdH_cu7Xddw_Oq3XX2zacVAnnNM0ywWVwJUeXtp1zFoza2npT2J0iWB1Yqj-W6sBSnViG0N0xVAPAf0AKglMp6C-s3HCc</recordid><startdate>20230201</startdate><enddate>20230201</enddate><creator>Tan, Yaoyao</creator><creator>Su, Xiaojie</creator><creator>Bing, Zhenshan</creator><creator>Yang, Xiaokui</creator><creator>Knoll, Alois</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| source | IEEE Electronic Library (IEL) |
| subjects | Control systems Control systems design Controllers Discrete time systems Dwell time Fault detection fuzzy control Fuzzy systems Liapunov functions switched systems Switches Switching Takagi-Sugeno model Uncertainty Vehicle dynamics |
| title | Reduced Model-Based Fault Detector and Controller Design for Discrete-Time Switching Fuzzy Systems |
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