{"title":"一类非线性系统的动态曲面控制设计","authors":"B. Song, A. Howell, J. Hedrick","doi":"10.1109/CDC.2001.980697","DOIUrl":null,"url":null,"abstract":"A novel method for analyzing the controller gains and filter time constants of dynamic surface control (DSC) is presented. First, DSC provides linear closed loop error dynamics with bounded perturbation terms for a class of nonlinear systems. This can be used to assign the desired eigenvalues to the system matrix of the error dynamics for the nominal stability. Then, a procedure for testing the stability and performance of the fixed controller in the face of uncertainties is presented. Finally, a feasible quadratic Lyapunov function for a regulation problem and an ellipsoidal approximation of tracking error bounds are obtained via convex optimization.","PeriodicalId":131411,"journal":{"name":"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":"{\"title\":\"Dynamic surface control design for a class of nonlinear systems\",\"authors\":\"B. Song, A. Howell, J. Hedrick\",\"doi\":\"10.1109/CDC.2001.980697\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A novel method for analyzing the controller gains and filter time constants of dynamic surface control (DSC) is presented. First, DSC provides linear closed loop error dynamics with bounded perturbation terms for a class of nonlinear systems. This can be used to assign the desired eigenvalues to the system matrix of the error dynamics for the nominal stability. Then, a procedure for testing the stability and performance of the fixed controller in the face of uncertainties is presented. Finally, a feasible quadratic Lyapunov function for a regulation problem and an ellipsoidal approximation of tracking error bounds are obtained via convex optimization.\",\"PeriodicalId\":131411,\"journal\":{\"name\":\"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"30\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2001.980697\",\"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 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2001.980697","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dynamic surface control design for a class of nonlinear systems
A novel method for analyzing the controller gains and filter time constants of dynamic surface control (DSC) is presented. First, DSC provides linear closed loop error dynamics with bounded perturbation terms for a class of nonlinear systems. This can be used to assign the desired eigenvalues to the system matrix of the error dynamics for the nominal stability. Then, a procedure for testing the stability and performance of the fixed controller in the face of uncertainties is presented. Finally, a feasible quadratic Lyapunov function for a regulation problem and an ellipsoidal approximation of tracking error bounds are obtained via convex optimization.
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