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Titlebook: Dynamics, Bifurcations and Control; Fritz Colonius,Lars Grüne Conference proceedings 2002 Springer-Verlag Berlin Heidelberg 2002 Analysis.

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书目名称Dynamics, Bifurcations and Control
编辑Fritz Colonius,Lars Grüne
视频video
概述Selected papers from the workshop "Dynamics, Bifurcations and Control".Deals with the fascination of nonlinear control systems rooted in engineering and mathematics alike.Includes supplementary materi
丛书名称Lecture Notes in Control and Information Sciences
图书封面Titlebook: Dynamics, Bifurcations and Control;  Fritz Colonius,Lars Grüne Conference proceedings 2002 Springer-Verlag Berlin Heidelberg 2002 Analysis.
描述This volume originates from the Third Nonlinear Control Workshop "- namics, Bifurcations and Control", held in Kloster Irsee, April 1-3 2001. As the preceding workshops held in Paris (2000) and in Ghent (1999), it was organized within the framework of Nonlinear Control Network funded by the European Union (http://www.supelec.fr/lss/NCN). The papers in this volume center around those control problems where phenomena and methods from dynamical systems theory play a dominant role. Despite the large variety of techniques and methods present in the c- tributions, a rough subdivision can be given into three areas: Bifurcation problems, stabilization and robustness, and global dynamics of control s- tems. A large part of the fascination in nonlinear control stems from the fact that is deeply rooted in engineering and mathematics alike. The contributions to this volume reflect this double nature of nonlinear control. We would like to take this opportunity to thank all the contributors and the referees for their careful work. Furthermore, it is our pleasure to thank Franchise Lamnabhi-Lagarrigue, the coordinator of our network, for her s- port in organizing the workshop and the proceedings
出版日期Conference proceedings 2002
关键词Analysis; Chaos; Monitoring; Normal; Signal; friction; model; oscillation; stability; complexity
版次1
doihttps://doi.org/10.1007/3-540-45606-6
isbn_softcover978-3-540-42890-9
isbn_ebook978-3-540-45606-3Series ISSN 0170-8643 Series E-ISSN 1610-7411
issn_series 0170-8643
copyrightSpringer-Verlag Berlin Heidelberg 2002
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Bifurcations in Systems with a Rate Limitermonic balance method. In this paper, the rate limiter describing function is obtained and applied to the search for limit cycles in such control systems. Three examples with three different bifurcations (saddle-node bifurcation of limit cycles, subcritical Hopf bifurcation at infinity and supercriti
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Monitoring and Control of Bifurcations Using Probe Signalsalso produce a shift in the parameter value where bifurcation occurs. In this paper, these rarely used phenomena are used as a basis for stability monitoring of systems that are susceptible to loss of stability through a Hopf bifurcation. The fact that the perturbation signals delay supercritical bi
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Normal Form, Invariants, and Bifurcations of Nonlinear Control Systems in the Particle Deflection Plfurcations of control systems based on the normal form approach. We address three problems for systems with a single uncontrollable mode, namely the problem of normal forms, bifurcations of control systems, and bifurcation control by state feedback.
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Bifurcations of Reachable Sets Near an Abnormal Direction and Consequencesr a single-input affine control system with constraint on the control, and then as an application for a sub-Riemannian system of rank 2. As a consequence we obtain in sub-Riemannian geometry a new splitting-up of the sphere near an abnormal minimizer γ into two sectors, bordered by the first Pontrya
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Nonlinear Problems in Friction Compensationderstanding all the various, related effects, which a single tool might be unable to describe..In this paper we explore some nonlinear problems arising when applying dither techniques, also in combination with PI controllers. The approach followed is from a nonlinear point of view, trying to integra
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Stability Analysis of Periodic Solutions via Integral Quadratic Constraints disturbances. A result concerning local existence of a family of periodic solutions for such systems is also given. The stability analysis — based on a combined use of linearization techniques and frequency-domain stability criteria expressed via Integral Quadratic Constraints — can be efficiently
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