{"title":"带pid控制器的二阶时滞系统参数优化","authors":"J. Duda","doi":"10.1109/ICCC51557.2021.9454661","DOIUrl":null,"url":null,"abstract":"Paper addresses parametric optimization problem for second order system with delay in control. Control is realized by means of PID-Controller in feedback loop. As an index is taken the integral of squared error. The value of that index is computed using the Lyapunov functional, which is defined applying the Lyapunov matrix. The value of that functional at the initial function of the time delay deferential equation equals the index value.","PeriodicalId":339049,"journal":{"name":"2021 22nd International Carpathian Control Conference (ICCC)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parametric Optimization of a Second Order Time Delay System with a PID-Controller\",\"authors\":\"J. Duda\",\"doi\":\"10.1109/ICCC51557.2021.9454661\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Paper addresses parametric optimization problem for second order system with delay in control. Control is realized by means of PID-Controller in feedback loop. As an index is taken the integral of squared error. The value of that index is computed using the Lyapunov functional, which is defined applying the Lyapunov matrix. The value of that functional at the initial function of the time delay deferential equation equals the index value.\",\"PeriodicalId\":339049,\"journal\":{\"name\":\"2021 22nd International Carpathian Control Conference (ICCC)\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-05-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 22nd International Carpathian Control Conference (ICCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCC51557.2021.9454661\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 22nd International Carpathian Control Conference (ICCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCC51557.2021.9454661","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Parametric Optimization of a Second Order Time Delay System with a PID-Controller
Paper addresses parametric optimization problem for second order system with delay in control. Control is realized by means of PID-Controller in feedback loop. As an index is taken the integral of squared error. The value of that index is computed using the Lyapunov functional, which is defined applying the Lyapunov matrix. The value of that functional at the initial function of the time delay deferential equation equals the index value.