{"title":"多速率控制系统的显式MPC","authors":"Y. Jiang, Yuanyuan Zou, Y. Niu","doi":"10.1109/ICMIC.2011.5973770","DOIUrl":null,"url":null,"abstract":"In this paper, explicit model predictive control (MPC) schemes for discrete-time linear-invariant multi-rate systems with constraints on inputs and states are studied. The optimization problem of multi-rate predictive control systems can be formulated by solving a multiparametric linear program (mp-LP), and the explicit state feedback control laws are developed. Further, based on the closed-loop multi-rate piecewise affine (PWA) structure, stability analysis is presented by linear matrix inequality (LMI). The simulation results show the effectiveness of the explicit MPC for multi-rate system.","PeriodicalId":210380,"journal":{"name":"Proceedings of 2011 International Conference on Modelling, Identification and Control","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Explicit MPC for multi-rate control systems\",\"authors\":\"Y. Jiang, Yuanyuan Zou, Y. Niu\",\"doi\":\"10.1109/ICMIC.2011.5973770\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, explicit model predictive control (MPC) schemes for discrete-time linear-invariant multi-rate systems with constraints on inputs and states are studied. The optimization problem of multi-rate predictive control systems can be formulated by solving a multiparametric linear program (mp-LP), and the explicit state feedback control laws are developed. Further, based on the closed-loop multi-rate piecewise affine (PWA) structure, stability analysis is presented by linear matrix inequality (LMI). The simulation results show the effectiveness of the explicit MPC for multi-rate system.\",\"PeriodicalId\":210380,\"journal\":{\"name\":\"Proceedings of 2011 International Conference on Modelling, Identification and Control\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 2011 International Conference on Modelling, Identification and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMIC.2011.5973770\",\"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 2011 International Conference on Modelling, Identification and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMIC.2011.5973770","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, explicit model predictive control (MPC) schemes for discrete-time linear-invariant multi-rate systems with constraints on inputs and states are studied. The optimization problem of multi-rate predictive control systems can be formulated by solving a multiparametric linear program (mp-LP), and the explicit state feedback control laws are developed. Further, based on the closed-loop multi-rate piecewise affine (PWA) structure, stability analysis is presented by linear matrix inequality (LMI). The simulation results show the effectiveness of the explicit MPC for multi-rate system.
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