{"title":"随机常数系统环极点配置与方差约束综合控制","authors":"Guowan Zhang","doi":"10.1109/MEC.2011.6026021","DOIUrl":null,"url":null,"abstract":"By using the Moore-Penrose inverse and the singular value decomposition theory, in this paper, the author designed controllers make the eigenvalues of the closed-loop system located in a ring of the unit circle, and the variance of each steady state compose to the given constraint. And author derives the existing sufficient and necessary conditions and the expression of solution by a modified algebraic Lyapunov matrix equation. The corresponding numerical example explains this method designed in practical engineering control system possible.","PeriodicalId":386083,"journal":{"name":"2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC)","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Ring pole assignment and variance-constrained synthetical control for random constant system\",\"authors\":\"Guowan Zhang\",\"doi\":\"10.1109/MEC.2011.6026021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By using the Moore-Penrose inverse and the singular value decomposition theory, in this paper, the author designed controllers make the eigenvalues of the closed-loop system located in a ring of the unit circle, and the variance of each steady state compose to the given constraint. And author derives the existing sufficient and necessary conditions and the expression of solution by a modified algebraic Lyapunov matrix equation. The corresponding numerical example explains this method designed in practical engineering control system possible.\",\"PeriodicalId\":386083,\"journal\":{\"name\":\"2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC)\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MEC.2011.6026021\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MEC.2011.6026021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Ring pole assignment and variance-constrained synthetical control for random constant system
By using the Moore-Penrose inverse and the singular value decomposition theory, in this paper, the author designed controllers make the eigenvalues of the closed-loop system located in a ring of the unit circle, and the variance of each steady state compose to the given constraint. And author derives the existing sufficient and necessary conditions and the expression of solution by a modified algebraic Lyapunov matrix equation. The corresponding numerical example explains this method designed in practical engineering control system possible.