Sliding subspace design based on linear matrix inequalities

Alán Tapia; Raymundo Márquez; Miguel Bernal; Joaquín Cortez

Kybernetika (2014)

  • Volume: 50, Issue: 3, page 436-449
  • ISSN: 0023-5954

Abstract

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In this work, an alternative for sliding surface design based on linear and bilinear matrix inequalities is proposed. The methodology applies for reduced and integral sliding mode control, both continuous- and discrete-time; it takes advantage of the Finsler's lemma to provide a greater degree of freedom than existing approaches for sliding subspace design. The sliding surfaces thus constructed are systematically found via convex optimization techniques, which are efficiently implemented in commercially available software. Examples are provided to illustrate the effectiveness of the proposed approach.

How to cite

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Tapia, Alán, et al. "Sliding subspace design based on linear matrix inequalities." Kybernetika 50.3 (2014): 436-449. <http://eudml.org/doc/261887>.

@article{Tapia2014,
abstract = {In this work, an alternative for sliding surface design based on linear and bilinear matrix inequalities is proposed. The methodology applies for reduced and integral sliding mode control, both continuous- and discrete-time; it takes advantage of the Finsler's lemma to provide a greater degree of freedom than existing approaches for sliding subspace design. The sliding surfaces thus constructed are systematically found via convex optimization techniques, which are efficiently implemented in commercially available software. Examples are provided to illustrate the effectiveness of the proposed approach.},
author = {Tapia, Alán, Márquez, Raymundo, Bernal, Miguel, Cortez, Joaquín},
journal = {Kybernetika},
keywords = {sliding mode control; variable structure; sliding subspace design; linear matrix inequalities; sliding mode control; variable structure; sliding subspace design; linear matrix inequalities},
language = {eng},
number = {3},
pages = {436-449},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Sliding subspace design based on linear matrix inequalities},
url = {http://eudml.org/doc/261887},
volume = {50},
year = {2014},
}

TY - JOUR
AU - Tapia, Alán
AU - Márquez, Raymundo
AU - Bernal, Miguel
AU - Cortez, Joaquín
TI - Sliding subspace design based on linear matrix inequalities
JO - Kybernetika
PY - 2014
PB - Institute of Information Theory and Automation AS CR
VL - 50
IS - 3
SP - 436
EP - 449
AB - In this work, an alternative for sliding surface design based on linear and bilinear matrix inequalities is proposed. The methodology applies for reduced and integral sliding mode control, both continuous- and discrete-time; it takes advantage of the Finsler's lemma to provide a greater degree of freedom than existing approaches for sliding subspace design. The sliding surfaces thus constructed are systematically found via convex optimization techniques, which are efficiently implemented in commercially available software. Examples are provided to illustrate the effectiveness of the proposed approach.
LA - eng
KW - sliding mode control; variable structure; sliding subspace design; linear matrix inequalities; sliding mode control; variable structure; sliding subspace design; linear matrix inequalities
UR - http://eudml.org/doc/261887
ER -

References

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