L2-Gain and Passivity Techniques in Nonlinear Control - download pdf or read online

This common textual content offers a unified remedy of passivity and L₂-gain conception for nonlinear nation area platforms, preceded by means of a compact remedy of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis among passivity and L₂-gain conception is supplied by means of the idea of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear balance and stabilization are mentioned from this perspective. the relationship between L₂-gain and passivity through scattering is detailed.

Feedback equivalence to a passive approach and ensuing stabilization recommendations are discussed. The passivity recommendations are enriched by way of a generalised Hamiltonian formalism, emphasising the shut family members with actual modeling and regulate through interconnection, and leading to novel keep watch over methodologies going past passivity.

The strength of L₂-gain suggestions in nonlinear control, including a conception of all-pass factorizations of nonlinear structures, and of parametrization of stabilizing controllers, is tested. The nonlinear H-infinity optimum regulate challenge is usually handled and the ebook concludes with a geometric research of the answer units of Hamilton-Jacobi inequalities and their relation with Riccati inequalities for the linearization.

·         L₂-Gain and Passivity strategies in Nonlinear Control (third version) is punctiliously up to date, revised, reorganized and improved. one of the alterations, readers will find:

·         updated and prolonged assurance of dissipative structures theory

·         substantial new fabric relating to communicate passivity theorems and incremental/shifted passivity ·         coverage of contemporary advancements on networks of passive structures with examples

·         a thoroughly overhauled and succinct creation to modeling and keep an eye on of port-Hamiltonian structures, through an exposition of port-Hamiltonian formula of actual community dynamics

·         updated therapy of all-pass factorization of nonlinear systems

The publication presents graduate scholars and researchers in platforms and regulate with a compact presentation of a primary and quickly constructing region of nonlinear keep watch over thought, illustrated via a extensive diversity of suitable examples stemming from varied program areas.