A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller

Lan Zhou; Jinhua She; Shaowu Zhou

International Journal of Applied Mathematics and Computer Science (2014)

  • Volume: 24, Issue: 2, page 325-334
  • ISSN: 1641-876X

Abstract

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This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic outputfeedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.

How to cite

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Lan Zhou, Jinhua She, and Shaowu Zhou. "A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller." International Journal of Applied Mathematics and Computer Science 24.2 (2014): 325-334. <http://eudml.org/doc/271885>.

@article{LanZhou2014,
abstract = {This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic outputfeedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.},
author = {Lan Zhou, Jinhua She, Shaowu Zhou},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {repetitive control; dynamic output-feedback; two-dimensional system; singular-value decomposition; linear matrix inequality},
language = {eng},
number = {2},
pages = {325-334},
title = {A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller},
url = {http://eudml.org/doc/271885},
volume = {24},
year = {2014},
}

TY - JOUR
AU - Lan Zhou
AU - Jinhua She
AU - Shaowu Zhou
TI - A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller
JO - International Journal of Applied Mathematics and Computer Science
PY - 2014
VL - 24
IS - 2
SP - 325
EP - 334
AB - This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic outputfeedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.
LA - eng
KW - repetitive control; dynamic output-feedback; two-dimensional system; singular-value decomposition; linear matrix inequality
UR - http://eudml.org/doc/271885
ER -

References

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