Ebook: Nonsmooth Mechanics: Models, Dynamics and Control
Author: Bernard Brogliato PhD (auth.)
- Tags: Control, Systems Theory Control, Mechanics, Mechanical Engineering, Computational Intelligence
- Series: Communications and Control Engineering
- Year: 1999
- Publisher: Springer-Verlag London
- Edition: 2
- Language: English
- pdf
This significantly enlarged and expanded second edition focuses on a class of nonsmooth hybrid dynamical systems, namely finite-dimensional mechanical systems subject to unilateral constraints. It contains a complete overview of the main problems in mathematics, mechanics, stability and control which are of interest in this field. The following topics are discussed in detail and are illustrated with examples:
• shock dynamics;
• multiple impacts;
• feedback control;
• Moreau's sweeping process; and
• complementarity formulations.
With a comprehensive bibliography of over a thousand references, Nonsmooth Dynamics is an indispensable source of information on impact phenomena and rigid-body dynamics.
Praise for the first edition:
The presentation is excellent in combining rigorous mathematics with a great number of examples ranging from simple mechanical systems to robotic systems allowing the reader to understand the basic concepts.
Mathematical Abstracts
It is written with clarity, contains the latest research results in the area of impact problems for rigid bodies and is recommended for both applied mathematicians and engineers.
Mathematical Reviews
This significantly enlarged and expanded second edition focuses on a class of nonsmooth hybrid dynamical systems, namely finite-dimensional mechanical systems subject to unilateral constraints. It contains a complete overview of the main problems in mathematics, mechanics, stability and control which are of interest in this field. The following topics are discussed in detail and are illustrated with examples:
• shock dynamics;
• multiple impacts;
• feedback control;
• Moreau's sweeping process; and
• complementarity formulations.
With a comprehensive bibliography of over a thousand references, Nonsmooth Dynamics is an indispensable source of information on impact phenomena and rigid-body dynamics.
Praise for the first edition:
The presentation is excellent in combining rigorous mathematics with a great number of examples ranging from simple mechanical systems to robotic systems allowing the reader to understand the basic concepts.
Mathematical Abstracts
It is written with clarity, contains the latest research results in the area of impact problems for rigid bodies and is recommended for both applied mathematicians and engineers.
Mathematical Reviews
This significantly enlarged and expanded second edition focuses on a class of nonsmooth hybrid dynamical systems, namely finite-dimensional mechanical systems subject to unilateral constraints. It contains a complete overview of the main problems in mathematics, mechanics, stability and control which are of interest in this field. The following topics are discussed in detail and are illustrated with examples:
• shock dynamics;
• multiple impacts;
• feedback control;
• Moreau's sweeping process; and
• complementarity formulations.
With a comprehensive bibliography of over a thousand references, Nonsmooth Dynamics is an indispensable source of information on impact phenomena and rigid-body dynamics.
Praise for the first edition:
The presentation is excellent in combining rigorous mathematics with a great number of examples ranging from simple mechanical systems to robotic systems allowing the reader to understand the basic concepts.
Mathematical Abstracts
It is written with clarity, contains the latest research results in the area of impact problems for rigid bodies and is recommended for both applied mathematicians and engineers.
Mathematical Reviews
Content:
Front Matter....Pages i-xx
Distributional model of impacts....Pages 1-52
Approximating problems....Pages 53-75
Variational principles....Pages 77-103
Two bodies colliding....Pages 105-171
Multiconstraint nonsmooth dynamics....Pages 173-261
Generalized impacts....Pages 263-332
Stability of nonsmooth dynamical systems....Pages 333-395
Feedback control....Pages 397-461
Back Matter....Pages 463-552
This significantly enlarged and expanded second edition focuses on a class of nonsmooth hybrid dynamical systems, namely finite-dimensional mechanical systems subject to unilateral constraints. It contains a complete overview of the main problems in mathematics, mechanics, stability and control which are of interest in this field. The following topics are discussed in detail and are illustrated with examples:
• shock dynamics;
• multiple impacts;
• feedback control;
• Moreau's sweeping process; and
• complementarity formulations.
With a comprehensive bibliography of over a thousand references, Nonsmooth Dynamics is an indispensable source of information on impact phenomena and rigid-body dynamics.
Praise for the first edition:
The presentation is excellent in combining rigorous mathematics with a great number of examples ranging from simple mechanical systems to robotic systems allowing the reader to understand the basic concepts.
Mathematical Abstracts
It is written with clarity, contains the latest research results in the area of impact problems for rigid bodies and is recommended for both applied mathematicians and engineers.
Mathematical Reviews
Content:
Front Matter....Pages i-xx
Distributional model of impacts....Pages 1-52
Approximating problems....Pages 53-75
Variational principles....Pages 77-103
Two bodies colliding....Pages 105-171
Multiconstraint nonsmooth dynamics....Pages 173-261
Generalized impacts....Pages 263-332
Stability of nonsmooth dynamical systems....Pages 333-395
Feedback control....Pages 397-461
Back Matter....Pages 463-552
....