Title :
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
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;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.573557
