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Robust disturbance rejection in modified repetitive control system. (English) Zbl 1290.93055
Summary: This study concerns disturbance rejection for a Modified Repetitive Control System (MRCS) that contains a strictly proper plant with time-varying uncertainties. Since an MRCS is affected by both periodic and a-periodic disturbances, and since the disturbances are often unknown, an Equivalent-Input-Disturbance (EID)-based estimator is added to an MRCS to yield an EID-based MRCS that compensates for all types of disturbances. In this system, the repetitive controller ensures tracking of a periodic reference input, and the incorporation of an EID estimate into the control input enables rejection of unknown periodic and aperiodic disturbances. A robust stability condition for the MRCS is established in form of a linear matrix inequality, and the condition is used to design the parameters of the controller. This design method handles uncertainties and enables the preferential adjustment of the tracking and control performance of the MRCS. Simulation results demonstrate the validity of the method.

MSC:
93B35 Sensitivity (robustness)
93C73 Perturbations in control/observation systems
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