A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller

摘要: AbstractThis paper is concerned with the problem of designing a robust modiźed repetitive-control system dynamic output feedback controller for class strictly proper plants. Employing continuous lifting technique, continuous-discrete two-dimensional 2D model built that accurately describes features repetitive control. The control input contains direct sum effects and learning, which allows us to adjust learning preferentially. singular-value decomposition matrix Lyapunov stability theory are used derive an asymptotic condition based on Linear Matrix Inequality LMI. Two tuning parameters in LMI manipulate preferential adjustment learning. A numerical example illustrates procedure demonstrates effectiveness method.