Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

Nabil El Fezazi; Fatima El Haoussi; El Houssaine Tissir; Teresa Alvarez; Fernando Tadeo

doi:10.2478/amcs-2018-0008

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Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

International Journal of Applied Mathematics and Computer Science

Volume 28 (2018): Issue 1 (March 2018)

By: Nabil El Fezazi, Fatima El Haoussi, El Houssaine Tissir, Teresa Alvarez and Fernando Tadeo

Open Access

|Mar 2018

Abstract

Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature.

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Articles in this issue

DOI: https://doi.org/10.2478/amcs-2018-0008 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 111 - 122

Submitted on: Jan 26, 2017

Accepted on: Aug 9, 2017

Published on: Mar 31, 2018

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

robust stabilization,

sampled-data,

time-delay systems,

input saturation,

admissible initial conditions,

LMI

Related subjects:

Mathematics,

Applied mathematics

© 2018 Nabil El Fezazi, Fatima El Haoussi, El Houssaine Tissir, Teresa Alvarez, Fernando Tadeo, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 28 (2018): Issue 1 (March 2018)