{"title":"基于状态相关Riccati方程的非线性模型预测控制","authors":"K. Belarbi, H. Boumaza, B. Boutamina","doi":"10.1109/STA.2014.7086742","DOIUrl":null,"url":null,"abstract":"In this work, we introduce an approach to nonlinear model predictive based on the so-called state dependent Riccati equation, SDRE. In this approach, the model is first cast in a form similar to the linear state space representation. Then the algebraic Riccati equation is constructed based on a similarity with the linear quadratic regulator to obtain stable NMPC. The method requires the solution of the Riccati equation at each sampling period. Simulation results are quite encourageing.","PeriodicalId":125957,"journal":{"name":"2014 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Nonlinear model predictive control based on state dependent Riccati equation\",\"authors\":\"K. Belarbi, H. Boumaza, B. Boutamina\",\"doi\":\"10.1109/STA.2014.7086742\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we introduce an approach to nonlinear model predictive based on the so-called state dependent Riccati equation, SDRE. In this approach, the model is first cast in a form similar to the linear state space representation. Then the algebraic Riccati equation is constructed based on a similarity with the linear quadratic regulator to obtain stable NMPC. The method requires the solution of the Riccati equation at each sampling period. Simulation results are quite encourageing.\",\"PeriodicalId\":125957,\"journal\":{\"name\":\"2014 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA)\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STA.2014.7086742\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STA.2014.7086742","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonlinear model predictive control based on state dependent Riccati equation
In this work, we introduce an approach to nonlinear model predictive based on the so-called state dependent Riccati equation, SDRE. In this approach, the model is first cast in a form similar to the linear state space representation. Then the algebraic Riccati equation is constructed based on a similarity with the linear quadratic regulator to obtain stable NMPC. The method requires the solution of the Riccati equation at each sampling period. Simulation results are quite encourageing.