Ebook: L2 - Gain and Passivity Techniques in Nonlinear Control
Author: Arjan van der Schaft Dr (auth.)
- Tags: Computational Intelligence, Control Robotics Mechatronics, Systems Theory Control
- Series: Communications and Control Engineering
- Year: 2000
- Publisher: Springer-Verlag London
- Edition: 2
- Language: English
- pdf
With respect to the first edition as Volume 218 in the Lecture Notes in Con trol and Information Sciences series the basic idea of the second edition has remained the same: to provide a compact presentation of some basic ideas in the classical theory of input-output and closed-loop stability, together with a choice of contributions to the recent theory of nonlinear robust and 1foo control and passivity-based control. Nevertheless, some parts of the book have been thoroughly revised and/or expanded, in order to have a more balanced presen tation of the theory and to include some of the new developments which have been taken place since the appearance of the first edition. I soon realized, how ever, that it is not possible to give a broad exposition of the existing literature in this area without affecting the spirit of the book, which is precisely aimed at a compact presentation. So as a result the second edition still reflects very much my personal taste and research interests. I trust that others will write books emphasizing different aspects. Major changes with respect to the first edition are the following: • A new section has been added in Chapter 2 relating L2-gain and passivity via scattering, emphasizing a coordinate-free, geometric, treatment. • The section on stability in Chapter 3 has been thoroughly expanded, also incorporating some recent results presented in [182J.
Content:
Front Matter....Pages i-xii
Input-Output Stability....Pages 1-9
Small-gain and Passivity of Input-Output Maps....Pages 11-29
Dissipative Systems Theory....Pages 31-61
Hamiltonian Systems as Passive Systems....Pages 63-123
Passivity by Feedback....Pages 125-136
Factorizations of Nonlinear Systems....Pages 137-161
Nonlinear H ? Control....Pages 163-192
Hamilton-Jacobi Inequalities....Pages 193-227
Back Matter....Pages 229-248
Content:
Front Matter....Pages i-xii
Input-Output Stability....Pages 1-9
Small-gain and Passivity of Input-Output Maps....Pages 11-29
Dissipative Systems Theory....Pages 31-61
Hamiltonian Systems as Passive Systems....Pages 63-123
Passivity by Feedback....Pages 125-136
Factorizations of Nonlinear Systems....Pages 137-161
Nonlinear H ? Control....Pages 163-192
Hamilton-Jacobi Inequalities....Pages 193-227
Back Matter....Pages 229-248
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