{"title":"切换互补线性系统的有限差分格式","authors":"Daniel A. Gutierrez-Pachas, S. Mazorche","doi":"10.1109/CLEI56649.2022.9959941","DOIUrl":null,"url":null,"abstract":"Developing efficient numerical techniques to model complex systems is valuable, and their main contribution is to reduce computational costs. This work presents a numerical approach that deals with this difficulty by incorporating a concise formulation to understand the dynamic of complementarity switched systems using the finite difference method. We introduce a discrete-time numerical version of the Switched Complementary Linear System and convert it into a mixed complementarity problem. In addition, we compute the numerical solution of the dynamics of a DC-DC boost converter by combining our proposal with the Feasible Directions Algorithm for Mixed Nonlinear Complementarity Problems.","PeriodicalId":156073,"journal":{"name":"2022 XVLIII Latin American Computer Conference (CLEI)","volume":"194 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A finite-difference scheme to model Switched Complementary Linear Systems\",\"authors\":\"Daniel A. Gutierrez-Pachas, S. Mazorche\",\"doi\":\"10.1109/CLEI56649.2022.9959941\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Developing efficient numerical techniques to model complex systems is valuable, and their main contribution is to reduce computational costs. This work presents a numerical approach that deals with this difficulty by incorporating a concise formulation to understand the dynamic of complementarity switched systems using the finite difference method. We introduce a discrete-time numerical version of the Switched Complementary Linear System and convert it into a mixed complementarity problem. In addition, we compute the numerical solution of the dynamics of a DC-DC boost converter by combining our proposal with the Feasible Directions Algorithm for Mixed Nonlinear Complementarity Problems.\",\"PeriodicalId\":156073,\"journal\":{\"name\":\"2022 XVLIII Latin American Computer Conference (CLEI)\",\"volume\":\"194 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 XVLIII Latin American Computer Conference (CLEI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CLEI56649.2022.9959941\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 XVLIII Latin American Computer Conference (CLEI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CLEI56649.2022.9959941","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A finite-difference scheme to model Switched Complementary Linear Systems
Developing efficient numerical techniques to model complex systems is valuable, and their main contribution is to reduce computational costs. This work presents a numerical approach that deals with this difficulty by incorporating a concise formulation to understand the dynamic of complementarity switched systems using the finite difference method. We introduce a discrete-time numerical version of the Switched Complementary Linear System and convert it into a mixed complementarity problem. In addition, we compute the numerical solution of the dynamics of a DC-DC boost converter by combining our proposal with the Feasible Directions Algorithm for Mixed Nonlinear Complementarity Problems.
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