{"title":"弱非线性离散状态相关系数控制系统的D-SDRE调节器","authors":"Yulia E. Danik","doi":"10.1109/CoDIT49905.2020.9263978","DOIUrl":null,"url":null,"abstract":"Here the stabilizing regulator for quasilinear discrete state-dependent coefficients control systems is constructed based on the formal asymptotic approximation of an arbitrary order of the state-dependent Riccati equation solution. The stability of the corresponding closed-loop system is proved using the Lyapunov functions method and the series expansion of the system and criterion matrices.","PeriodicalId":355781,"journal":{"name":"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)","volume":"7 3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"One D-SDRE regulator for weakly nonlinear discrete statedependent coefficients control systems\",\"authors\":\"Yulia E. Danik\",\"doi\":\"10.1109/CoDIT49905.2020.9263978\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Here the stabilizing regulator for quasilinear discrete state-dependent coefficients control systems is constructed based on the formal asymptotic approximation of an arbitrary order of the state-dependent Riccati equation solution. The stability of the corresponding closed-loop system is proved using the Lyapunov functions method and the series expansion of the system and criterion matrices.\",\"PeriodicalId\":355781,\"journal\":{\"name\":\"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)\",\"volume\":\"7 3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CoDIT49905.2020.9263978\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CoDIT49905.2020.9263978","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
One D-SDRE regulator for weakly nonlinear discrete statedependent coefficients control systems
Here the stabilizing regulator for quasilinear discrete state-dependent coefficients control systems is constructed based on the formal asymptotic approximation of an arbitrary order of the state-dependent Riccati equation solution. The stability of the corresponding closed-loop system is proved using the Lyapunov functions method and the series expansion of the system and criterion matrices.