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L2-Gain and Passivity Techniques in Nonlinear Control

IV, 168 Seiten
1996
Springer Berlin (Hersteller)
978-3-540-76074-0 (ISBN)

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The aim of the lecture notes collated in this volume is to provide a synthesis between classical input-output and closed up loop stability theory. Fundamentals of passivity techniques are summarized.
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.
Reihe/Serie Lecture Notes in Control and Information Sciences ; 218
Verlagsort Berlin
Sprache englisch
Gewicht 285 g
Einbandart Paperback
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Technik Elektrotechnik / Energietechnik
ISBN-10 3-540-76074-1 / 3540760741
ISBN-13 978-3-540-76074-0 / 9783540760740
Zustand Neuware
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