L. El Ghaoui, V. Balakrishnan, E. Feron, Stephen P. Boyd
{"title":"结构非线性扰动的鲁棒性测度最大化","authors":"L. El Ghaoui, V. Balakrishnan, E. Feron, Stephen P. Boyd","doi":"10.1109/ACC.1992.4175675","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a robustness measure for LTI systems with causal, nonlinear diagonal perturbations with finite L2-gain. We propose an algorithm to reliably compute this quantity. We show how to find a state-feedback controller that achieves the global maximum of the robustness measure.","PeriodicalId":297258,"journal":{"name":"1992 American Control Conference","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"31","resultStr":"{\"title\":\"On Maximizing a Robustness Measure for Structured Nonlinear Perturbations\",\"authors\":\"L. El Ghaoui, V. Balakrishnan, E. Feron, Stephen P. Boyd\",\"doi\":\"10.1109/ACC.1992.4175675\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose a robustness measure for LTI systems with causal, nonlinear diagonal perturbations with finite L2-gain. We propose an algorithm to reliably compute this quantity. We show how to find a state-feedback controller that achieves the global maximum of the robustness measure.\",\"PeriodicalId\":297258,\"journal\":{\"name\":\"1992 American Control Conference\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"31\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1992 American Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.1992.4175675\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1992 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1992.4175675","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Maximizing a Robustness Measure for Structured Nonlinear Perturbations
In this paper, we propose a robustness measure for LTI systems with causal, nonlinear diagonal perturbations with finite L2-gain. We propose an algorithm to reliably compute this quantity. We show how to find a state-feedback controller that achieves the global maximum of the robustness measure.