ENGLISH

L2-Gain and Passivity Techniques in Nonlinear Control

By Dr. Arjan van der Schaft (auth.)

Book information

Publisher
Springer Berlin Heidelberg
Year
1996
ISBN
3540760741, 9783540760740
DOI
10.1007/3-540-76074-1
LCC
TJ213 .S1233 1996
Open Library ID
OL988425M
Language
english
Format
PDF
Filesize
6 MB (6129681 bytes)
Series
Lecture Notes in Control and Information Sciences 218
Edition
1
Pages
168\172
Time added
2011-06-04 13:46:07
Control Engineering

Description

The aim of these lecture notes is to provide a synthesis between classical input-output and closed-loop stability theory, in particular the small-gain and passivity theorems, and recent work on nonlinear H( and passivity-based control. The treatment of the theory of dissipative systems is the main aspect of these lecture notes. Fundamentals of passivity techniques are summarised, and it is shown that the passivity properties of different classes of physical systems can be unified within a generalised Hamiltonian framework. Key developments in linear robust control theory are extended to the nonlinear context using L2-gain techniques. An extensive treatment of nonlinear H( control theory is presented, emphasising its main structural features. Since the application of L2-gain techniques relies on solving Hamilton-Jacobi inequalities the structure of their solution sets and conditions for solvability are derived.

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