<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

School of Information and Electrical Engineering Hunan University of Science and Technology, Xiangtan 411201, China

School of Automation China University of Geosciences, Wuhan, Hubei 430074, China

School of Engineering Tokyo University of Technology, Tokyo 192-0982, Japan

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory...

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

Published Online: Jul 02, 2016

Page range: 285 - 295

Received: Jul 07, 2015

Accepted: Jan 26, 2016

DOI: https://doi.org/10.1515/amcs-2016-0020

Keywords
repetitive control, equivalent input disturbance, two-dimensional system, singular-value decomposition, linear matrix inequality

© by Lan Zhou

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Jul 02, 2016

Page range: 285 - 295

Received: Jul 07, 2015

Accepted: Jan 26, 2016

DOI: https://doi.org/10.1515/amcs-2016-0020

Keywordsrepetitive control, equivalent input disturbance, two-dimensional system, singular-value decomposition, linear matrix inequality

© by Lan Zhou

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
repetitive control, equivalent input disturbance, two-dimensional system, singular-value decomposition, linear matrix inequality