Pole placement in non connected regions for descriptor models

Sari, Bilal; Bachelier, Olivier; Bosche, Jérôme; Maamri, Nezha; Mehdi, Driss

doi:10.1016/j.matcom.2011.05.002

Cited by 12 publications

(2 citation statements)

References 23 publications

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“…For instance, pole placement has always been an important topic in automatic control and this kind of control should be analysed in the presence of uncertainties. More precisely, assume that a control law has been designed to make the nominal model be ‐admissible, such as strict (see and the references therein) or non strict eigenvalue assignment. Then it is important to assess whether the system preserves its properties in the presence of uncertainties.…”

Section: Illustration and Commentsmentioning

confidence: 99%

On Generalised Stein's Inequalites and the Inertias of Their Solutions: Application to Pencil Finite Root‐Clustering

Sari

Bachelier

Mehdi

2012

Asian Journal of Control

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This note deals with the inertia of the solutions to Generalised Stein's Inequalities (GSI) i.e. Stein's inequalities related to discrete descriptor models described through linear matrix pencils. Only strict inequalities are considered. It is shown that, under some very slight assumptions, there always exists a solution to the GSI and some properties on the inertia of this solution can be derived very easily. As an application, the finite root‐clustering of the pencil associated with a descriptor system in a union of separate discs is considered.

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Section: Illustration and Commentsmentioning

confidence: 99%

On Generalised Stein's Inequalites and the Inertias of Their Solutions: Application to Pencil Finite Root‐Clustering

Sari

Bachelier

Mehdi

2012

Asian Journal of Control

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“…Henrion et al researched PP in QMI region with respect to polynomial system [8][9][10]. Maamri et al [11][12][13] proposed a novel strategy with respect to PP in nonconnected QMI regions, while Yang placed poles in union of disjointed circular regions [14].…”

Section: Introductionmentioning

confidence: 99%

Partial Pole Placement in LMI Region

Han

Wang

et al. 2014

Journal of Control Science and Engineering

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A new approach for pole placement of single-input system is proposed in this paper. Noncritical closed loop poles can be placed arbitrarily in a specified convex region when dominant poles are fixed in anticipant locations. The convex region is expressed in the form of linear matrix inequality (LMI), with which the partial pole placement problem can be solved via convex optimization tools. The validity and applicability of this approach are illustrated by two examples.

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