Performances inclusion for stable interval systems.

Micky Rakotondrabe (1)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

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 uncertain systems.

Domaines: Micro et nanotechnologies/Microélectronique

Micky Rakotondrabe. Performances inclusion for stable interval systems.. American Control Conference, ACC'11., Jun 2011, San Francisco, CA, United States. pp.4367-4372. ⟨hal-00606526⟩