Performances inclusion for stable interval systems

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 uncertain systems.

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Cite this paper

@inproceedings{Rakotondrabe2011PerformancesIF, title={Performances inclusion for stable interval systems}, author={Micky Rakotondrabe}, year={2011} }