{"title":"输入饱和和已知外部干扰的不确定T-S模糊系统的滑模控制","authors":"Honghai Liu, Zhen-xi Xu","doi":"10.1109/ICSAI.2012.6223612","DOIUrl":null,"url":null,"abstract":"The problem of sliding mode control for uncertain time-delay systems with input saturation and known external disturbance is considered. Combining T-S fuzzy model and sliding mode control method, we first establish the T-S model for the system, then an integral switching function is chosen, and a special sliding mode controller is designed such that the state trajectories can be driven onto the specified sliding surface in a finite period of time. Using linear matrix inequality and Lyapunov stability theory, we give a sufficient condition to guarantee the asymptotic stability of the sliding motion. An example is provided to illustrate the effectiveness of the proposed method.","PeriodicalId":164945,"journal":{"name":"2012 International Conference on Systems and Informatics (ICSAI2012)","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Sliding mode control for uncertain T-S fuzzy systems with input saturation and known external disturbance\",\"authors\":\"Honghai Liu, Zhen-xi Xu\",\"doi\":\"10.1109/ICSAI.2012.6223612\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of sliding mode control for uncertain time-delay systems with input saturation and known external disturbance is considered. Combining T-S fuzzy model and sliding mode control method, we first establish the T-S model for the system, then an integral switching function is chosen, and a special sliding mode controller is designed such that the state trajectories can be driven onto the specified sliding surface in a finite period of time. Using linear matrix inequality and Lyapunov stability theory, we give a sufficient condition to guarantee the asymptotic stability of the sliding motion. An example is provided to illustrate the effectiveness of the proposed method.\",\"PeriodicalId\":164945,\"journal\":{\"name\":\"2012 International Conference on Systems and Informatics (ICSAI2012)\",\"volume\":\"48 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 International Conference on Systems and Informatics (ICSAI2012)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSAI.2012.6223612\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 International Conference on Systems and Informatics (ICSAI2012)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSAI.2012.6223612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Sliding mode control for uncertain T-S fuzzy systems with input saturation and known external disturbance
The problem of sliding mode control for uncertain time-delay systems with input saturation and known external disturbance is considered. Combining T-S fuzzy model and sliding mode control method, we first establish the T-S model for the system, then an integral switching function is chosen, and a special sliding mode controller is designed such that the state trajectories can be driven onto the specified sliding surface in a finite period of time. Using linear matrix inequality and Lyapunov stability theory, we give a sufficient condition to guarantee the asymptotic stability of the sliding motion. An example is provided to illustrate the effectiveness of the proposed method.