Generalized scattering transformation and its applications to stabilization of conic systems

Author

Polushin, Ilia G.

Author_Institution

Dept. of Electr. & Comput. Eng., Western Univ., London, ON, Canada

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

648

Lastpage

653

Abstract

A generalized version of the scattering transformation is proposed which allows for rendering of the input-output characteristics of a nonlinear conic system into an arbitrary prescribed conic sector. The transformation is consequently applied to the problem of stabilization of conic systems interconnections; the stability is achieved by rendering the input-output characteristics of the subsystems into complementary cones such that the graph separation stability condition is satisfied. In the presence of communication delays, the scattering-based technique for stabilization of feedback interconnections is generalized to the case of arbitrary conic subsystems.

Keywords

delays; graph theory; interconnected systems; nonlinear control systems; stability; arbitrary prescribed conic sector; communication delays; complementary cones; conic system interconnection stabilization; feedback interconnection stabilization; generalized scattering transformation; graph separation stability condition; input-output characteristics of; nonlinear conic system; Communication channels; Delays; Rendering (computer graphics); Scattering; Stability analysis; Teleoperators; Transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6759955

Filename

6759955