Stability of distributed 3-D systems implemented on grid sensor networks using floating point arithmetic

Author

Sumanasena, Buddika ; Bauer, Peter H.

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

4041

Lastpage

4047

Abstract

In this paper, stability of distributed 3-D systems implemented in sensor networks using the Givone-Roesser and the Fornasini-Marchesini state space models under floating point arithmetic is studied. Nonlinearities caused by floating point number representation schemes used for in node computations and inter node communication are modeled. Stability of the system is analyzed with special consideration given to the influence of internode communication on system dynamics. A necessary and sufficient condition for global asymptotic stability under floating point arithmetic is established. Simulation results are presented to illustrate the theoretical results.

Keywords

asymptotic stability; distributed processing; floating point arithmetic; state-space methods; wireless sensor networks; Fornasini-Marchesini state space models; Givone-Roesser state space models; distributed 3D system stability; floating point arithmetic; floating point number representation schemes; grid sensor networks; internode communication; node computations; system dynamics; Asymptotic stability; Computational modeling; Power system stability; Quantization; Solid modeling; Stability analysis; Vectors;

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.2011.6160278

Filename

6160278