The Parametrization of All Robust Stabilizing Repetitive Controllers
نویسنده
چکیده
In this paper, we investigate the parameterization of all robust stabilizing repetitive controllers for single-input/single-output continuous time non-minimum phase systems. The repetitive control system is a type of servo mechanism designed for a periodic reference input. When repetitive control design methods are applied to real systems, the influence of uncertainties in the plant must be considered. In some cases, the uncertainties in the plant make the 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. Several papers to design robust stabilizing repetitive control systems have been published. However the parametrization of all robust stabilizing repetitive controllers has not been considered. In this paper, we propose the parametrization of all robust stabilizing repetitive controllers for non-minimum phase systems. Finally, a numerical example is illustrated to show the effectiveness of the proposed parametrization. Copyright c ©2005 IFAC
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