A precise robust matrix root-clustering analysis with respect to polytopic uncertainty - LAAS - Laboratoire d'Analyse et d'Architecture des Systèmes
Conference Papers Year : 2000

A precise robust matrix root-clustering analysis with respect to polytopic uncertainty

Abstract

In this paper, the problem of robust matrix root-clustering is addressed. An LMI approach is used to derive a sufficient condition for robust D-stability with respect to convex polytopic uncertainty. The presented results are part of the new framework dealing with parameter-dependent Lyapunov functions. The main contribution is to propose a new condition for matrix D-stability where D is a union of possibly disjoint and nonsymmetric subregions of the complex plane. A numerical comparison is proposed between this condition and a more classical one based on quadratic stability.
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Dates and versions

hal-04167070 , version 1 (20-07-2023)

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Olivier Bachelier, Dimitri Peaucelle, Denis Arzelier, Jacques Bernussou. A precise robust matrix root-clustering analysis with respect to polytopic uncertainty. American Control Conference (ACC’2000), Jun 2000, Chicago (IL), United States. pp.3331-3335, ⟨10.1109/ACC.2000.879182⟩. ⟨hal-04167070⟩
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