{"title":"线性定常系统静态输出反馈h∞控制器的设计:一种LMI方法","authors":"M. Parlakçi","doi":"10.1109/ICSTCC.2018.8540651","DOIUrl":null,"url":null,"abstract":"This note is concerned with the static output feedback (SOF) H-infinity controller design for linear timeinvariant systems. A sufficient bilinear matrix inequality (BMI) condition is developed for finding a stabilizing static output feedback H-infinity controller. For the first time, a novel cone complementary linearization approach within the context of linear matrix inequalities (LMI) is proposed to investigate the feasibility of the stabilizing controller synthesis along with a minimized H-infinity attenuation rate. The proposed method requires neither any apriori assumption generally made on the input/output matrices nor any application of a coordinate transformation. An example is presented for the application of the proposed scheme.","PeriodicalId":308427,"journal":{"name":"2018 22nd International Conference on System Theory, Control and Computing (ICSTCC)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Design of a Static Output Feedback H-Infinity Controller for Linear Time-Invariant Systems: an LMI Approach\",\"authors\":\"M. Parlakçi\",\"doi\":\"10.1109/ICSTCC.2018.8540651\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This note is concerned with the static output feedback (SOF) H-infinity controller design for linear timeinvariant systems. A sufficient bilinear matrix inequality (BMI) condition is developed for finding a stabilizing static output feedback H-infinity controller. For the first time, a novel cone complementary linearization approach within the context of linear matrix inequalities (LMI) is proposed to investigate the feasibility of the stabilizing controller synthesis along with a minimized H-infinity attenuation rate. The proposed method requires neither any apriori assumption generally made on the input/output matrices nor any application of a coordinate transformation. An example is presented for the application of the proposed scheme.\",\"PeriodicalId\":308427,\"journal\":{\"name\":\"2018 22nd International Conference on System Theory, Control and Computing (ICSTCC)\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 22nd International Conference on System Theory, Control and Computing (ICSTCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSTCC.2018.8540651\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 22nd International Conference on System Theory, Control and Computing (ICSTCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSTCC.2018.8540651","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Design of a Static Output Feedback H-Infinity Controller for Linear Time-Invariant Systems: an LMI Approach
This note is concerned with the static output feedback (SOF) H-infinity controller design for linear timeinvariant systems. A sufficient bilinear matrix inequality (BMI) condition is developed for finding a stabilizing static output feedback H-infinity controller. For the first time, a novel cone complementary linearization approach within the context of linear matrix inequalities (LMI) is proposed to investigate the feasibility of the stabilizing controller synthesis along with a minimized H-infinity attenuation rate. The proposed method requires neither any apriori assumption generally made on the input/output matrices nor any application of a coordinate transformation. An example is presented for the application of the proposed scheme.