{"title":"未知参数完全混沌系统与非完全混沌系统同步的自适应控制","authors":"R. Prasad, Ayub Khan","doi":"10.30931/jetas.756968","DOIUrl":null,"url":null,"abstract":"In this paper, adaptive control theory is utilized to derive nonlinear controllers for the synchronization of two identical and non-identical chaotic systems with unknown parameters. Based on the Lyapunov stability theory, the adaptive control laws for synchronization controllers associated with adaptive update laws of system parameters are developed to make the states of two identical and non-identical systems synchronized. The feasibility of the obtained results are validated with numerical simulation.","PeriodicalId":7757,"journal":{"name":"Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering","volume":"3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Adaptive Control for Synchronization of Identical and Non-Identical chaotic Systems with Unknown Parameters\",\"authors\":\"R. Prasad, Ayub Khan\",\"doi\":\"10.30931/jetas.756968\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, adaptive control theory is utilized to derive nonlinear controllers for the synchronization of two identical and non-identical chaotic systems with unknown parameters. Based on the Lyapunov stability theory, the adaptive control laws for synchronization controllers associated with adaptive update laws of system parameters are developed to make the states of two identical and non-identical systems synchronized. The feasibility of the obtained results are validated with numerical simulation.\",\"PeriodicalId\":7757,\"journal\":{\"name\":\"Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering\",\"volume\":\"3 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30931/jetas.756968\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30931/jetas.756968","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Adaptive Control for Synchronization of Identical and Non-Identical chaotic Systems with Unknown Parameters
In this paper, adaptive control theory is utilized to derive nonlinear controllers for the synchronization of two identical and non-identical chaotic systems with unknown parameters. Based on the Lyapunov stability theory, the adaptive control laws for synchronization controllers associated with adaptive update laws of system parameters are developed to make the states of two identical and non-identical systems synchronized. The feasibility of the obtained results are validated with numerical simulation.