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

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Zhou L., She J., Li C., Pan C.

International Journal of Applied Mathematics and Computer Science

2016

tom 26

nr 2

285-295

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Li C.

1 Pan C.

1 She J.

1 Zhou L.

1 2016

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