NPIA for fast computation of almost correct estimate of value sets of transfer functions

Author

Ohta, Yuzo ; Kakiuchi, Hidetoshi ; Watabiki, Masahiro ; Tagawa, Kiyoharu ; Haneda, Hiromasa

Author_Institution

Dept. of Comput. & Syst. Eng., Kobe Univ., Japan

Volume

3

fYear

1996

fDate

11-13 Dec 1996

Firstpage

2878

Abstract

In this paper, we present how nonconvex polygon interval arithmetic (NPIA) are defined and implemented. NPIA is the arithmetic defined on the set of all polygons in the complex plane, and it is very useful to compute estimates of value sets of transfer functions including uncertain physical parameters in a reasonable computing time. If an expression of the transfer function corresponding to the totally decomposable tree-structured decomposition is given, the obtained estimate is included an ε neighborhood of the region enclosed by the outer boundary of the value set

Keywords

transfer functions; uncertain systems; ε neighborhood; NPIA; almost correct estimate; fast computation; nonconvex polygon interval arithmetic; totally decomposable tree-structured decomposition; transfer functions; uncertain physical parameters; value sets; Arithmetic; Physics computing; Polynomials; Robust control; Systems engineering and theory; Transfer functions; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.573557

Filename

573557