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This paper concerns disturbance rejection for a repetitive-control system (RCS) with unknown time-varying uncertainties and nonlinearity. The design of the RCS is based on the concept of equivalent input disturbance (EID). First, an EID estimator is constructed through a state observer with dynamic coefficient matrix that effectively estimates the total effect of the uncertainties and nonlinearity...
This technical note deals with the problem of designing a robust observer-based repetitive-control system that provides a given H∞ disturbance attenuation performance for a class of plants with time-varying structured uncertainties. A continuous-discrete two-dimensional model is built that accurately describes the features of repetitive control, thereby enabling the control and learning actions to...
An LMI-based method is presented in this paper to design a robust modified repetitive-control system for a class of strictly proper plants. Applying the periodicity and continuity of repetitive control, the system design is converted into the robust stabilization problem of a continuous-discrete 2D system. A LMI-based robust stability sufficient condition is derived by using linear matrix inequality...
Repetitive control, a distinctive control method with a human-like learning capability, is of both theoretical and practical importance. This paper deals with the problem of designing a robust observer-based repetitive-control system that provides a given H?? steady-state disturbance-attenuation performance for a class of plants with time-varying structured uncertainties. A continuous-discrete two-dimensional...
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