{"title":"前馈系统的跟踪轨迹:在小车摆系统中的应用","authors":"F. Mazenc, S. Bowong","doi":"10.1109/CDC.2001.980146","DOIUrl":null,"url":null,"abstract":"The objective of the work is twofold. A first part is devoted to the problem of tracking trajectories of feedforward systems. A family of the time-varying state feedbacks which globally uniformly asymptotically and locally exponentially stabilize trajectories which are not necessarily periodic functions of the time is exhibited. Strict Lyapunov functions are constructed. In a second part, the problem of tracking a trajectory of the practical system called cart-pendulum system is solved.","PeriodicalId":131411,"journal":{"name":"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Tracking trajectories of feedforward systems: application to the cart-pendulum system\",\"authors\":\"F. Mazenc, S. Bowong\",\"doi\":\"10.1109/CDC.2001.980146\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The objective of the work is twofold. A first part is devoted to the problem of tracking trajectories of feedforward systems. A family of the time-varying state feedbacks which globally uniformly asymptotically and locally exponentially stabilize trajectories which are not necessarily periodic functions of the time is exhibited. Strict Lyapunov functions are constructed. In a second part, the problem of tracking a trajectory of the practical system called cart-pendulum system is solved.\",\"PeriodicalId\":131411,\"journal\":{\"name\":\"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"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.2001.980146\",\"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.2001.980146","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Tracking trajectories of feedforward systems: application to the cart-pendulum system
The objective of the work is twofold. A first part is devoted to the problem of tracking trajectories of feedforward systems. A family of the time-varying state feedbacks which globally uniformly asymptotically and locally exponentially stabilize trajectories which are not necessarily periodic functions of the time is exhibited. Strict Lyapunov functions are constructed. In a second part, the problem of tracking a trajectory of the practical system called cart-pendulum system is solved.