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Titlebook: Geometric Control of Mechanical Systems; Modeling, Analysis, Francesco Bullo,Andrew D. Lewis Textbook 2005 Springer-Verlag New York 2005 g

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书目名称Geometric Control of Mechanical Systems
副标题Modeling, Analysis,
编辑Francesco Bullo,Andrew D. Lewis
视频video
概述Includes supplementary material:
丛书名称Texts in Applied Mathematics
图书封面Titlebook: Geometric Control of Mechanical Systems; Modeling, Analysis,  Francesco Bullo,Andrew D. Lewis Textbook 2005 Springer-Verlag New York 2005 g
描述.The primary emphasis of this book is the modeling, analysis, and control of mechanical systems. The methods and results presented can be applied to a large class of mechanical control systems, including applications in robotics, autonomous vehicle control, and multi-body systems. The book is unique in that it presents a unified, rather than an inclusive, treatment of control theory for mechanical systems. A distinctive feature of the presentation is its reliance on techniques from differential and Riemannian geometry...The book contains extensive examples and exercises, and will be suitable for a growing number of courses in this area. It begins with the detailed mathematical background, proceeding through innovative approaches to physical modeling, analysis, and design techniques. Numerous examples illustrate the proposed methods and results, while the many exercises test basic knowledge and introduce topics not covered in the main body of the text...The audience of this book consists of two groups. The first group is comprised of graduate students in engineering or mathematical sciences who wish to learn the basics of geometric mechanics, nonlinear control theory, and control th
出版日期Textbook 2005
关键词geometric control; mechanics; systems theory
版次1
doihttps://doi.org/10.1007/978-1-4899-7276-7
isbn_softcover978-1-4419-1968-7
isbn_ebook978-1-4899-7276-7Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer-Verlag New York 2005
The information of publication is updating

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Differential geometrychapter we review the essential differential geometric tools used in the book. Since a thorough treatment of all parts of the subject necessary for our objectives would be even more lengthy than what we currently have, we essentially present a list of definitions and facts that follow from these def
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Simple mechanical control systemsils. In this chapter, we begin the presentation of the material that can be considered the core of the book. The aim in this chapter is to provide the methodology for going from a physical problem to a mathematical model. What is more, the mathematical model we consider uses the tools described in C
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Lie groups, systems on groups, and symmetriesure in a mechanical system that can be exploited for analysis and control. This chapter discusses an important class of manifolds, called Lie groups, that arise naturally in rigid body kinematics, as well as the properties of mechanical systems defined on Lie groups or possessing Lie group symmetrie
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Low-order controllability and kinematic reductionol-affine example), even these very general results can fail to provide complete characterizations of the controllability of a system, even in rather simple examples. In this chapter we provide low-order controllability results that are quite sharp. These are extensions of results initially due of H
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Perturbation analysisl signals: periodic, large-amplitude, high-frequency signals, which we refer to as oscillatory; and small-amplitude signals. For both classes of signals, we perform a perturbation analysis that predicts, with some specified level of accuracy, the behavior of the resulting forced affine connection sy
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Linear and nonlinear potential shaping for stabilizationmethods and potential energy shaping methods. Although these techniques are somewhat limited in scope, they are valuable because they provide some insight into the problem of stabilization, both generally and for mechanical systems. Readers can then use the experience gained from this chapter to mor
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