Polytopic Discrete-Time Models for Systems with Time-Varying Delays

Warody Lombardi; Silviu-Iulian Niculescu; Sorin Olaru

Polytopic Discrete-Time Models for Systems with Time-Varying Delays

Warody Lombardi ¹ Silviu-Iulian Niculescu ^{2, 3} Sorin Olaru ^{2, 1}

1 E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]

2 DISCO - Dynamical Interconnected Systems in COmplex Environments

L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506

3 Division Systèmes - L2S

L2S - Laboratoire des signaux et systèmes : 1289

Abstract : This paper focuses on the modeling of linear systems with time-varying input delays. During the discretization process, three cases can be differentiated with respect to the structure of the continuous-state transition matrix: non-defective with real eigenvalues, non-defective with complex-conjugated eigenvalues and defective matrices with real/complex-conjugated eigenvalues. The goal is to model the variable input delays as a polytopic uncertainty in order to preserve a linear difference inclusion framework. It is shown that the embedding problem can be translated into a polytopic containment problem and an iterative approach to the construction of tight, low complexity embedding (in terms of a simplex body) is proposed.

Document type :

Book sections

Domain :

Engineering Sciences [physics] / Automatic

Complete list of metadatas

https://hal-supelec.archives-ouvertes.fr/hal-00750895
Contributor : Josiane Dartron <>
Submitted on : Monday, November 12, 2012 - 4:16:39 PM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM

Polytopic Discrete-Time Models for Systems with Time-Varying Delays

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Polytopic Discrete-Time Models for Systems with Time-Varying Delays

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