Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system

Lan Zhou; Jinhua She; Chaoyi Li; Changzhong Pan

International Journal of Applied Mathematics and Computer Science (2016)

  • Volume: 26, Issue: 2, page 285-295
  • ISSN: 1641-876X

Abstract

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This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory aperiodic-disturbance rejection performance for a class of plants with time-varying structured uncertainties. An equivalent-input-disturbance (EID) estimator is added to the ROFMRCS that estimates the influences of all types of disturbances and compensates them. A continuous-discrete two-dimensional model is built to describe the EID-based ROFMRCS that accurately presents the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A robust stability condition for the closed-loop system is given in terms of a linear matrix inequality. It yields the parameters of the repetitive controller, the output-feedback controller, and the EID-estimator. Finally, a numerical example demonstrates the validity of the method.

How to cite

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Lan Zhou, et al. "Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system." International Journal of Applied Mathematics and Computer Science 26.2 (2016): 285-295. <http://eudml.org/doc/280117>.

@article{LanZhou2016,
abstract = {This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory aperiodic-disturbance rejection performance for a class of plants with time-varying structured uncertainties. An equivalent-input-disturbance (EID) estimator is added to the ROFMRCS that estimates the influences of all types of disturbances and compensates them. A continuous-discrete two-dimensional model is built to describe the EID-based ROFMRCS that accurately presents the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A robust stability condition for the closed-loop system is given in terms of a linear matrix inequality. It yields the parameters of the repetitive controller, the output-feedback controller, and the EID-estimator. Finally, a numerical example demonstrates the validity of the method.},
author = {Lan Zhou, Jinhua She, Chaoyi Li, Changzhong Pan},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {repetitive control; equivalent input disturbance; two-dimensional system; singular-value decomposition; linear matrix inequality},
language = {eng},
number = {2},
pages = {285-295},
title = {Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system},
url = {http://eudml.org/doc/280117},
volume = {26},
year = {2016},
}

TY - JOUR
AU - Lan Zhou
AU - Jinhua She
AU - Chaoyi Li
AU - Changzhong Pan
TI - Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system
JO - International Journal of Applied Mathematics and Computer Science
PY - 2016
VL - 26
IS - 2
SP - 285
EP - 295
AB - This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory aperiodic-disturbance rejection performance for a class of plants with time-varying structured uncertainties. An equivalent-input-disturbance (EID) estimator is added to the ROFMRCS that estimates the influences of all types of disturbances and compensates them. A continuous-discrete two-dimensional model is built to describe the EID-based ROFMRCS that accurately presents the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A robust stability condition for the closed-loop system is given in terms of a linear matrix inequality. It yields the parameters of the repetitive controller, the output-feedback controller, and the EID-estimator. Finally, a numerical example demonstrates the validity of the method.
LA - eng
KW - repetitive control; equivalent input disturbance; two-dimensional system; singular-value decomposition; linear matrix inequality
UR - http://eudml.org/doc/280117
ER -

References

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