Robust stabilizing multi-period repetitive controllers for multiple-input/multiple-output time-delay plants

In this paper, we investigate the parameterization of all robust stabilizing multi-period repetitive controllers for multiple-input/multiple-output time-delay plants. The multi-period repetitive control system is a type of servomechanism for a periodic reference input. When multi-period repetitive control design methods are applied to real systems, the influence of uncertainties in the plant must be considered. In some cases, uncertainties in the plant make the multi-period repetitive control system unstable, even though the controller was designed to stabilize the nominal plant. The stability problem with uncertainty is known as the robust stability problem. Recently, the parameterization of all robust stabilizing multi-period repetitive controllers was obtained by Satoh et al. In addition, Chen et al. proposed the parameterization of all robust stabilizing multi-period repetitive controllers for time-delay plants. However, no paper has proposed the parameterization of all robust stabilizing multi-period repetitive controllers for multiple-input/multiple-output time-delay plants. In this paper, we propose the parameterization of all robust stabilizing multi-period repetitive controllers for multiple-input/multiple-output time-delay plants.