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Chaos in Automatic Control最新文献

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Tools for Ordinary Differential Equations Analysis 常微分方程分析工具
Chaos in Automatic Control Pub Date : 2018-10-03 DOI: 10.1201/9781315220925-2
W. Perruquetti
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引用次数: 0
Normal Forms and Bifurcations of Vector Fields 向量场的范式与分岔
Chaos in Automatic Control Pub Date : 2018-10-03 DOI: 10.1201/9781315220925-3
C. Dang Vu-Delcarte
{"title":"Normal Forms and Bifurcations of Vector Fields","authors":"C. Dang Vu-Delcarte","doi":"10.1201/9781315220925-3","DOIUrl":"https://doi.org/10.1201/9781315220925-3","url":null,"abstract":"","PeriodicalId":319439,"journal":{"name":"Chaos in Automatic Control","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115581756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Normal Forms of Nonlinear Control Systems 非线性控制系统的范式
Chaos in Automatic Control Pub Date : 2018-10-03 DOI: 10.1201/9781420027853.ch8
W. Kang, A. Krener, A. Krener
{"title":"Normal Forms of Nonlinear Control Systems","authors":"W. Kang, A. Krener, A. Krener","doi":"10.1201/9781420027853.ch8","DOIUrl":"https://doi.org/10.1201/9781420027853.ch8","url":null,"abstract":"Numerous papers were published during the last decade on the normal forms of nonlinear control systems with applications in bifurcation and its control. The approach is motivated by Poincare’s theory of normal forms for classical dynamical systems using homogeneous transformations. In this paper, we summarize a variety of control system normal forms published in the literature so that the normal forms are derived in a same framework with consistent notations. Before we get into technical details, the rest of the introduction is a review of existing results on some related topics. It is well known that there are several normal forms for a linear control system. If the system is controllable then the system can be transformed into controllable or controller normal form. If the system has a linear output map and is observable then it can be transformed into observable or observer form. The nonlinear generalization of the linear controller normal forms were extensively studied during 1980’s, for instance, Krener [23], Hunt-Su [11], JackubczykRespondek [10], and Brocket [3], etc. If a nonlinear control system admits a controller normal form, it can be transformed into a linear system by a change of coordinates and feedback. Therefore, the design of a locally stabilizing state feedback control law is a straightforward task. In such a case, we say the system is feedback linearizable. On the other hand, most nonlinear systems do","PeriodicalId":319439,"journal":{"name":"Chaos in Automatic Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128676674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Nonlinear Observer Design for Smooth Systems 光滑系统的非线性观测器设计
Chaos in Automatic Control Pub Date : 2018-10-03 DOI: 10.1201/9781420027853.ch10
A. Krener, M. Xiao
{"title":"Nonlinear Observer Design for Smooth Systems","authors":"A. Krener, M. Xiao","doi":"10.1201/9781420027853.ch10","DOIUrl":"https://doi.org/10.1201/9781420027853.ch10","url":null,"abstract":"Recently Kazantzis-Kravaris and Kreisselmeier-Engel have suggested two apparently difierent approaches to constructing observers for nonlinear systems. We show that these approaches are closely related and lead to observers with linear error dynamics in transformed variables. In particular we give su-cient conditions for the existence of smooth solutions to the Kazantzis-Kravaris PDE.","PeriodicalId":319439,"journal":{"name":"Chaos in Automatic Control","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126668164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Feedback Equivalence of Nonlinear Control Systems: A Survey on Formal Approach 非线性控制系统的反馈等价:形式化方法综述
Chaos in Automatic Control Pub Date : 2018-10-03 DOI: 10.1201/9781315220925-4
W. Respondek
{"title":"Feedback Equivalence of Nonlinear Control Systems: A Survey on Formal Approach","authors":"W. Respondek","doi":"10.1201/9781315220925-4","DOIUrl":"https://doi.org/10.1201/9781315220925-4","url":null,"abstract":"This paper is a survey devoted to the formal approach to the feedback equivalence problem for nonlinear control systems. We show how classical Poincare’s approach, developed for dynamical systems, generalizes to control systems for continuous and discrete-time. We present normal forms and canonical forms for nonlinear control systems (single-input and multi-input, control-affine and general). We use the formal approach to study symmetries of nonlinear control systems as well as discuss special forms: linear and feedforward. We illustrate presented forms by various examples in dimensions 3 and 4.","PeriodicalId":319439,"journal":{"name":"Chaos in Automatic Control","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131470253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Implementation of the Chua’s Circuit and its Application in the Data Transmission 蔡氏电路的实现及其在数据传输中的应用
Chaos in Automatic Control Pub Date : 2018-10-03 DOI: 10.1201/9781315220925-14
L. Boutat-Baddas, J. Barbot, R. Tauleigne
{"title":"Implementation of the Chua’s Circuit and its Application in the Data Transmission","authors":"L. Boutat-Baddas, J. Barbot, R. Tauleigne","doi":"10.1201/9781315220925-14","DOIUrl":"https://doi.org/10.1201/9781315220925-14","url":null,"abstract":"","PeriodicalId":319439,"journal":{"name":"Chaos in Automatic Control","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116276742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Control of Chaotic and Hyperchaotic Systems 混沌与超混沌系统的控制
Chaos in Automatic Control Pub Date : 2005-10-14 DOI: 10.1201/9781420027853.PT2
L. Laval
{"title":"Control of Chaotic and Hyperchaotic Systems","authors":"L. Laval","doi":"10.1201/9781420027853.PT2","DOIUrl":"https://doi.org/10.1201/9781420027853.PT2","url":null,"abstract":"","PeriodicalId":319439,"journal":{"name":"Chaos in Automatic Control","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122343487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Indirect Field-Oriented Control of Induction Motors: A Hopf Bifurcation Analysis 感应电机磁场定向间接控制:Hopf分岔分析
Chaos in Automatic Control Pub Date : 2005-10-14 DOI: 10.1201/9781420027853.ch13
F. Gordillo, F. Salas, R. Ortega, J. Aracil
{"title":"Indirect Field-Oriented Control of Induction Motors: A Hopf Bifurcation Analysis","authors":"F. Gordillo, F. Salas, R. Ortega, J. Aracil","doi":"10.1201/9781420027853.ch13","DOIUrl":"https://doi.org/10.1201/9781420027853.ch13","url":null,"abstract":"","PeriodicalId":319439,"journal":{"name":"Chaos in Automatic Control","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114686275","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chaos, Optical Systems, and Application to Cryptography 混沌、光学系统及其在密码学中的应用
Chaos in Automatic Control Pub Date : 2005-10-14 DOI: 10.1201/9781420027853.ch12
L. Larger
{"title":"Chaos, Optical Systems, and Application to Cryptography","authors":"L. Larger","doi":"10.1201/9781420027853.ch12","DOIUrl":"https://doi.org/10.1201/9781420027853.ch12","url":null,"abstract":"","PeriodicalId":319439,"journal":{"name":"Chaos in Automatic Control","volume":"95 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128908505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Singular Perturbation and Chaos 奇异摄动与混沌
Chaos in Automatic Control Pub Date : 2005-10-14 DOI: 10.1201/9781420027853.CH5
M. Djemai, S. Ramdani
{"title":"Singular Perturbation and Chaos","authors":"M. Djemai, S. Ramdani","doi":"10.1201/9781420027853.CH5","DOIUrl":"https://doi.org/10.1201/9781420027853.CH5","url":null,"abstract":"","PeriodicalId":319439,"journal":{"name":"Chaos in Automatic Control","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127829418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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