{"title":"非线性最优控制:局部最优原理","authors":"Hayase, T. Yamazaki, E. Rijanto","doi":"10.1109/ICIT.2000.854125","DOIUrl":null,"url":null,"abstract":"In this paper, it is shown that a nonlinear regulator constructed by using a state-dependent Riccati equation (SDRE) is a local optimal solution of the original optimal control problem. In order to prove this fact, the conventional methods-Lagrange multiplier method, minimum principle and dynamic programming are used-and an idea of the principle of local optimality is introduced by modifying the principle of optimality of dynamic programming.","PeriodicalId":405648,"journal":{"name":"Proceedings of IEEE International Conference on Industrial Technology 2000 (IEEE Cat. No.00TH8482)","volume":"3 3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Nonlinear optimal control: principle of local optimality\",\"authors\":\"Hayase, T. Yamazaki, E. Rijanto\",\"doi\":\"10.1109/ICIT.2000.854125\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, it is shown that a nonlinear regulator constructed by using a state-dependent Riccati equation (SDRE) is a local optimal solution of the original optimal control problem. In order to prove this fact, the conventional methods-Lagrange multiplier method, minimum principle and dynamic programming are used-and an idea of the principle of local optimality is introduced by modifying the principle of optimality of dynamic programming.\",\"PeriodicalId\":405648,\"journal\":{\"name\":\"Proceedings of IEEE International Conference on Industrial Technology 2000 (IEEE Cat. No.00TH8482)\",\"volume\":\"3 3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-01-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of IEEE International Conference on Industrial Technology 2000 (IEEE Cat. No.00TH8482)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIT.2000.854125\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of IEEE International Conference on Industrial Technology 2000 (IEEE Cat. No.00TH8482)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIT.2000.854125","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonlinear optimal control: principle of local optimality
In this paper, it is shown that a nonlinear regulator constructed by using a state-dependent Riccati equation (SDRE) is a local optimal solution of the original optimal control problem. In order to prove this fact, the conventional methods-Lagrange multiplier method, minimum principle and dynamic programming are used-and an idea of the principle of local optimality is introduced by modifying the principle of optimality of dynamic programming.
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