Jinling Wang, Jun-Guo Lu, Jiarong Li, Qinghao Zhang, Cheng Hu
{"title":"切换非线性系统的模糊模态时序控制与l2增益分析。","authors":"Jinling Wang, Jun-Guo Lu, Jiarong Li, Qinghao Zhang, Cheng Hu","doi":"10.1016/j.isatra.2025.06.026","DOIUrl":null,"url":null,"abstract":"<p><p>This paper concerns the fuzzy modal time-scheduled control problem for switched nonlinear systems with L<sub>2</sub>-gain performance. Combined with the hybrid dwell time method, we propose a switched fuzzy modal time-scheduled control (FMTSC) strategy, and establish a criterion for H<sub>∞</sub> performance in systems comprising both unstable and stable subsystems. Meanwhile, we further develop a class of time-scheduled multiple discontinuous Lyapunov functions (TMDLFs) for the switched Takagi-Sugeno (T-S) fuzzy system with L<sub>2</sub>-gain property. Finally, comparative and practical examples are provided to demonstrate the validity of derived theoretical result.</p>","PeriodicalId":94059,"journal":{"name":"ISA transactions","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fuzzy modal time-scheduled control and L<sub>2</sub>-gain analysis for switched nonlinear systems.\",\"authors\":\"Jinling Wang, Jun-Guo Lu, Jiarong Li, Qinghao Zhang, Cheng Hu\",\"doi\":\"10.1016/j.isatra.2025.06.026\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>This paper concerns the fuzzy modal time-scheduled control problem for switched nonlinear systems with L<sub>2</sub>-gain performance. Combined with the hybrid dwell time method, we propose a switched fuzzy modal time-scheduled control (FMTSC) strategy, and establish a criterion for H<sub>∞</sub> performance in systems comprising both unstable and stable subsystems. Meanwhile, we further develop a class of time-scheduled multiple discontinuous Lyapunov functions (TMDLFs) for the switched Takagi-Sugeno (T-S) fuzzy system with L<sub>2</sub>-gain property. Finally, comparative and practical examples are provided to demonstrate the validity of derived theoretical result.</p>\",\"PeriodicalId\":94059,\"journal\":{\"name\":\"ISA transactions\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ISA transactions\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1016/j.isatra.2025.06.026\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ISA transactions","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1016/j.isatra.2025.06.026","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fuzzy modal time-scheduled control and L2-gain analysis for switched nonlinear systems.
This paper concerns the fuzzy modal time-scheduled control problem for switched nonlinear systems with L2-gain performance. Combined with the hybrid dwell time method, we propose a switched fuzzy modal time-scheduled control (FMTSC) strategy, and establish a criterion for H∞ performance in systems comprising both unstable and stable subsystems. Meanwhile, we further develop a class of time-scheduled multiple discontinuous Lyapunov functions (TMDLFs) for the switched Takagi-Sugeno (T-S) fuzzy system with L2-gain property. Finally, comparative and practical examples are provided to demonstrate the validity of derived theoretical result.