{"title":"次优模型预测控制连续法的收缩分析","authors":"Ryotaro Shima, Yuji Ito, Tatsuya Miyano","doi":"arxiv-2409.10970","DOIUrl":null,"url":null,"abstract":"This letter presents contraction analysis of continuation method for\nsuboptimal model predictive control. A contraction metric is proposed that\nreflects hierarchical dynamics inherent in the continuation method and, thus,\nleads us to a pair of tractable matrix inequalities characterizing contraction\nof closed-loop system controlled by the continuation method. A numerical\nexample verifies our contraction analysis and demonstrates the tractability of\nthe presented matrix inequalities.","PeriodicalId":501286,"journal":{"name":"arXiv - MATH - Optimization and Control","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Contraction Analysis of Continuation Method for Suboptimal Model Predictive Control\",\"authors\":\"Ryotaro Shima, Yuji Ito, Tatsuya Miyano\",\"doi\":\"arxiv-2409.10970\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This letter presents contraction analysis of continuation method for\\nsuboptimal model predictive control. A contraction metric is proposed that\\nreflects hierarchical dynamics inherent in the continuation method and, thus,\\nleads us to a pair of tractable matrix inequalities characterizing contraction\\nof closed-loop system controlled by the continuation method. A numerical\\nexample verifies our contraction analysis and demonstrates the tractability of\\nthe presented matrix inequalities.\",\"PeriodicalId\":501286,\"journal\":{\"name\":\"arXiv - MATH - Optimization and Control\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Optimization and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.10970\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Optimization and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10970","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Contraction Analysis of Continuation Method for Suboptimal Model Predictive Control
This letter presents contraction analysis of continuation method for
suboptimal model predictive control. A contraction metric is proposed that
reflects hierarchical dynamics inherent in the continuation method and, thus,
leads us to a pair of tractable matrix inequalities characterizing contraction
of closed-loop system controlled by the continuation method. A numerical
example verifies our contraction analysis and demonstrates the tractability of
the presented matrix inequalities.
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