Tracking control design for nonlinear polynomial systems via augmented error system approach and block pulse functions technique

Bassem Iben Warrad; Mohamed Karim Bouafoura; Naceur Benhadj Braiek

Kybernetika (2019)

  • Volume: 55, Issue: 5, page 831-851
  • ISSN: 0023-5954

Abstract

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In this paper, tracking control design for a class of nonlinear polynomial systems is investigated by augmented error system approach and block pulse functions technique. The proposed method is based on the projection of the close loop augmented system and the associated linear reference model that it should follow over a basis of block pulse functions. The main advantage of using this tool is that it allows to transform the analytical differential calculus into an algebraic one relatively easy to solve. The developments presented have led to the formulation of a linear system of algebraic equations depending only on parameters of the feedback control. Once the control gains are determined by solving the latter optimization problem in least square sense, the practical stability of the closed loop augmented system is checked through given conditions. A double inverted pendulums benchmark is used to validate the proposed tracking control method.

How to cite

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Iben Warrad, Bassem, Bouafoura, Mohamed Karim, and Benhadj Braiek, Naceur. "Tracking control design for nonlinear polynomial systems via augmented error system approach and block pulse functions technique." Kybernetika 55.5 (2019): 831-851. <http://eudml.org/doc/295053>.

@article{IbenWarrad2019,
abstract = {In this paper, tracking control design for a class of nonlinear polynomial systems is investigated by augmented error system approach and block pulse functions technique. The proposed method is based on the projection of the close loop augmented system and the associated linear reference model that it should follow over a basis of block pulse functions. The main advantage of using this tool is that it allows to transform the analytical differential calculus into an algebraic one relatively easy to solve. The developments presented have led to the formulation of a linear system of algebraic equations depending only on parameters of the feedback control. Once the control gains are determined by solving the latter optimization problem in least square sense, the practical stability of the closed loop augmented system is checked through given conditions. A double inverted pendulums benchmark is used to validate the proposed tracking control method.},
author = {Iben Warrad, Bassem, Bouafoura, Mohamed Karim, Benhadj Braiek, Naceur},
journal = {Kybernetika},
keywords = {tracking control; nonlinear polynomial systems; augmented error system approach; block pulse functions; practical stability},
language = {eng},
number = {5},
pages = {831-851},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Tracking control design for nonlinear polynomial systems via augmented error system approach and block pulse functions technique},
url = {http://eudml.org/doc/295053},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Iben Warrad, Bassem
AU - Bouafoura, Mohamed Karim
AU - Benhadj Braiek, Naceur
TI - Tracking control design for nonlinear polynomial systems via augmented error system approach and block pulse functions technique
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 5
SP - 831
EP - 851
AB - In this paper, tracking control design for a class of nonlinear polynomial systems is investigated by augmented error system approach and block pulse functions technique. The proposed method is based on the projection of the close loop augmented system and the associated linear reference model that it should follow over a basis of block pulse functions. The main advantage of using this tool is that it allows to transform the analytical differential calculus into an algebraic one relatively easy to solve. The developments presented have led to the formulation of a linear system of algebraic equations depending only on parameters of the feedback control. Once the control gains are determined by solving the latter optimization problem in least square sense, the practical stability of the closed loop augmented system is checked through given conditions. A double inverted pendulums benchmark is used to validate the proposed tracking control method.
LA - eng
KW - tracking control; nonlinear polynomial systems; augmented error system approach; block pulse functions; practical stability
UR - http://eudml.org/doc/295053
ER -

References

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