Title :
Performances inclusion for stable interval systems
Author :
Rakotondrabe, M.
Author_Institution :
Autom. Control & Micro-Mechatron. Syst. Dept., UTBM, Besancon, France
fDate :
June 29 2011-July 1 2011
Abstract :
This paper presents the performances inclusion on time and frequency domains of SISO stable interval systems. We demonstrate that an interval transfer function included in another interval transfer function will have its performances also included in those of the second one. While the results may be intuitive, the paper provides an analytical demonstration by using interval arithmetic and related tools. These results are of great interest for robust performances analysis and for controller design in parametric un certain systems.
Keywords :
control system synthesis; frequency-domain analysis; stability; time-domain analysis; uncertain systems; SISO stable interval system; controller design; frequency domains; interval arithmetic; interval transfer function; parametric uncertain system; performances inclusion; robust performance analysis; time domains; Bismuth; Frequency domain analysis; Polynomials; Robustness; Stability analysis; Time domain analysis; Transfer functions;
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
Print_ISBN :
978-1-4577-0080-4
DOI :
10.1109/ACC.2011.5991079