{"title":"分布式系统的Bang-bang控制及其数值解","authors":"G. Knowles","doi":"10.1109/CDC.1978.267926","DOIUrl":null,"url":null,"abstract":"The bang-bang control of certain distributed parameter systems is considered, and the relationship between these results and approximate controllability discussed. Several methods for the numerical approximation of these control problems are given, one via a modal approximation to the partial differential equation, and the other a finite element approximation. The algorithms involve reformulating the problem as a non-linear program in the switching times of the optimal control.","PeriodicalId":375119,"journal":{"name":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bang-bang control for distributed systems and their numerical solution\",\"authors\":\"G. Knowles\",\"doi\":\"10.1109/CDC.1978.267926\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The bang-bang control of certain distributed parameter systems is considered, and the relationship between these results and approximate controllability discussed. Several methods for the numerical approximation of these control problems are given, one via a modal approximation to the partial differential equation, and the other a finite element approximation. The algorithms involve reformulating the problem as a non-linear program in the switching times of the optimal control.\",\"PeriodicalId\":375119,\"journal\":{\"name\":\"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1978.267926\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1978.267926","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Bang-bang control for distributed systems and their numerical solution
The bang-bang control of certain distributed parameter systems is considered, and the relationship between these results and approximate controllability discussed. Several methods for the numerical approximation of these control problems are given, one via a modal approximation to the partial differential equation, and the other a finite element approximation. The algorithms involve reformulating the problem as a non-linear program in the switching times of the optimal control.
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