SMC Based Tracking Control With Current Feedback Information for Discrete-Time Repetitive Systems
摘要
In this work, a novel sliding mode control (SMC)-based iterative learning control (ILC) strategy with current feedback information is developed to address the tracking problem for a class of discrete-time repetitive systems subject to non-repetitive disturbances. First, an ILC scheme is designed by combining a novel correction term inspired by the principles of SMC. Specifically, in the proposed ILC scheme, the sign function is employed to suppress non-repetitive disturbances and accelerate the convergence rate of the tracking error, while the current feedback term is utilized to enhance tracking performance in the time direction within a cycle. Then, an equivalent two-dimensional (2-D) model of the tracking error dynamics is established for the stability analysis of the ILC system. As a consequence, the ILC problem can be represented by a convex optimization problem in the form of linear matrix inequalities (LMIs). Finally, a numerical example is presented to demonstrate the effectiveness and advantages of the proposed ILC strategy.