{"title":"用多目标线性规划设计l/sub 1/-最优控制器","authors":"J. Carvalho, P. Ferreira","doi":"10.1109/ACC.1999.783170","DOIUrl":null,"url":null,"abstract":"The design of discrete-time controllers as a multiobjective l/sub 1/-optimal control problem is addressed in this paper. The multiobjective linear programming problem that results from the use of approximation methods based on the theory of l/sub 1/ optimization is solved by a goal programming technique, which reveals to be an efficient design technique. Performance specifications are easily described as goals for the objectives and their trade-offs can be explicitly represented. In addition, the goal programming formulation efficiently explores the properties of l/sub 1/-optimal control methods based on linear programming. The paper includes numerical examples that illustrate the proposed approach.","PeriodicalId":441363,"journal":{"name":"Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Design of l/sub 1/-optimal controllers by multiobjective linear programming\",\"authors\":\"J. Carvalho, P. Ferreira\",\"doi\":\"10.1109/ACC.1999.783170\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The design of discrete-time controllers as a multiobjective l/sub 1/-optimal control problem is addressed in this paper. The multiobjective linear programming problem that results from the use of approximation methods based on the theory of l/sub 1/ optimization is solved by a goal programming technique, which reveals to be an efficient design technique. Performance specifications are easily described as goals for the objectives and their trade-offs can be explicitly represented. In addition, the goal programming formulation efficiently explores the properties of l/sub 1/-optimal control methods based on linear programming. The paper includes numerical examples that illustrate the proposed approach.\",\"PeriodicalId\":441363,\"journal\":{\"name\":\"Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.1999.783170\",\"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 the 1999 American Control Conference (Cat. No. 99CH36251)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1999.783170","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Design of l/sub 1/-optimal controllers by multiobjective linear programming
The design of discrete-time controllers as a multiobjective l/sub 1/-optimal control problem is addressed in this paper. The multiobjective linear programming problem that results from the use of approximation methods based on the theory of l/sub 1/ optimization is solved by a goal programming technique, which reveals to be an efficient design technique. Performance specifications are easily described as goals for the objectives and their trade-offs can be explicitly represented. In addition, the goal programming formulation efficiently explores the properties of l/sub 1/-optimal control methods based on linear programming. The paper includes numerical examples that illustrate the proposed approach.
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