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L2-Gain and Passivity Techniques in Nonlinear Control (Communications and Control Engineering) by Arjan van der Schaft (auth.) is a nonfiction available to read on EtoBox.

What is L2-Gain and Passivity Techniques in Nonlinear Control (Communications and Control Engineering) about?

This standard text gives a unified treatment of passivity and L 2 -gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L 2 -gain theory is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this standpoint. The connection between L 2 -gain and passivity via scattering is detailed. Feedback equivalence to a passive system and resulting stabilization strategies are discussed. The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with physical modeling and control by interconnection, and leading to novel control methodologies going beyond passivity. The potential of L 2 -gain techniques in nonlinear control, including a theory of all-pass factorizations of nonlinear systems, and of parametrization of stabilizing controllers, is demonstrated. The nonlinear H-infinity optimal control problem is also treated and the book concludes with a geometric analysis of the s

Who reads L2-Gain and Passivity Techniques in Nonlinear Control (Communications and Control Engineering)?

Author

Arjan van der Schaft (auth.)

Publisher

Springer International Publishing : Imprint : Springer

Published

2017

Language

EN

ISBN

9781447111542

Category

nonfiction

Subjects

Computer Science, Engineering, Science