L2-gain and passivity techniques in nonlinear control

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 a...

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Autore principale: Schaft, Arjan van der, mathématicien
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer-Verlag : Springer e-books [20..].
Cham : Springer Nature
Serie:Lecture notes in control and information sciences 218
Soggetti:
Accesso online:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• L2-gain and passivity techniques in nonlinear control, Arjan van der Schaft, London, Springer, 1996, 168 p., Lecture notes in control and information sciences, 3-540-76074-1
• L2-Gain and Passivity Techniques in Nonlinear Control, Texte imprimé, 9783662200759
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505 0 |a Input-output stability -- Small-gain and passivity -- Dissipative systems theory -- Hamiltonian systems as passive systems, and stabilization of Hamiltonian systems -- Factorizations of nonlinear systems -- Nonlinear H ? control -- Hamilton-Jacobi inequalities. 
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520 |a 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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