Geometric Control of Mechanical Systems PDF Download
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Author: Francesco Bullo
Publisher: Springer
ISBN: 1489972765
Category : Science
Languages : en
Pages : 727
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Book Description
The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.
Author: Francesco Bullo
Publisher: Springer
ISBN: 1489972765
Category : Science
Languages : en
Pages : 727
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Book Description
The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.
Author: Andrew D. Lewis
Publisher: Springer
ISBN: 3319086383
Category : Science
Languages : en
Pages : 128
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Book Description
This brief presents a description of a new modelling framework for nonlinear/geometric control theory. The framework is intended to be—and shown to be—feedback-invariant. As such, Tautological Control Systems provides a platform for understanding fundamental structural problems in geometric control theory. Part of the novelty of the text stems from the variety of regularity classes, e.g., Lipschitz, finitely differentiable, smooth, real analytic, with which it deals in a comprehensive and unified manner. The treatment of the important real analytic class especially reflects recent work on real analytic topologies by the author. Applied mathematicians interested in nonlinear and geometric control theory will find this brief of interest as a starting point for work in which feedback invariance is important. Graduate students working in control theory may also find Tautological Control Systems to be a stimulating starting point for their research.
Author: A.M. Bloch
Publisher: Springer
ISBN: 1493930176
Category : Science
Languages : en
Pages : 582
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Book Description
This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Andrei A. Agrachev
Publisher: Springer Science & Business Media
ISBN: 3662064049
Category : Science
Languages : en
Pages : 415
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Book Description
This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis. No preliminary knowledge of Control Theory or Differential Geometry is required. What this book is about? The classical deterministic physical world is described by smooth dynamical systems: the future in such a system is com pletely determined by the initial conditions. Moreover, the near future changes smoothly with the initial data. If we leave room for "free will" in this fatalistic world, then we come to control systems. We do so by allowing certain param eters of the dynamical system to change freely at every instant of time. That is what we routinely do in real life with our body, car, cooker, as well as with aircraft, technological processes etc. We try to control all these dynamical systems! Smooth dynamical systems are governed by differential equations. In this book we deal only with finite dimensional systems: they are governed by ordi nary differential equations on finite dimensional smooth manifolds. A control system for us is thus a family of ordinary differential equations. The family is parametrized by control parameters.
Author: A.M. Bloch
Publisher: Springer Science & Business Media
ISBN: 0387955356
Category : Mathematics
Languages : en
Pages : 501
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Book Description
This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.
Author: Velimir Jurdjevic
Publisher: Cambridge University Press
ISBN: 0521495024
Category : Mathematics
Languages : en
Pages : 516
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Book Description
Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled. This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the book deals with the issue of being able to steer the system from any point of departure to any desired destination. The second part deals with optimal control, the question of finding the best possible course. An overlap with mathematical physics is demonstrated by the Maximum principle, a fundamental principle of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. Applications are drawn from geometry, mechanics, and control of dynamical systems. The geometric language in which the results are expressed allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.
Author: Tan Chen
Publisher:
ISBN:
Category :
Languages : en
Pages : 197
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Book Description
Author: Andrew D. Lewis
Publisher:
ISBN:
Category : Electronic dissertations
Languages : en
Pages : 380
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Book Description
Author: Jason M. Osborne
Publisher:
ISBN: 9780549077602
Category :
Languages : en
Pages : 241
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Book Description
An overarching and unifying theme for this document is that viewing mechanical systems through a geometric lens opens up an extensive set of tools that can be brought to bear upon energy, mass, and system---conscious control design for constrained mechanical systems. To demonstrate this thesis we consider the dynamics and control for several mechanical systems.
