Dynamical system decomposition using dissipation inequalities

Author

Anderson, James ; Teixeira, André ; Sandberg, Henrik ; Papachristodoulou, Antonis

Author_Institution

Dept. of Eng. Sci., Univ. of Oxford, Oxford, UK

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

211

Lastpage

216

Abstract

In this paper we investigate stability and interaction measures for interconnected systems that have been produced by decomposing a large-scale linear system into a set of lower order subsystems connected in feedback. We begin by analyzing the requirements for asymptotic stability through generalized dissipation inequalities and storage functions. Using this insight we then describe various metrics based on a system´s energy dissipation to determine how strongly the subsystems interact with each other. From these metrics a decomposition algorithm is described.

Keywords

asymptotic stability; decomposition; feedback; interconnected systems; linear systems; time-varying systems; asymptotic stability; decomposition algorithm; dissipation inequalities; dynamical system decomposition; feedback connected lower order subsystems; generalized dissipation inequalities; interaction measurement; interconnected systems; large-scale linear system; stability measurement; storage functions; system energy dissipation; Asymptotic stability; Ellipsoids; Matrix decomposition; Measurement; Resistors; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6161304

Filename

6161304