Iterative learning control for non-linear switched discrete-time systems

摘要

This study is concerned with the iterative learning controller design for a class of non-linear switched discrete-time repetitive systems. First, the definitions of exponential stability and average dwell time in iterative learning control (ILC) systems are introduced, and sufficient conditions for exponential stability of non-linear switched discrete-time ILC systems are established by using the methods of common two-dimensional (2D) Lyapunov function and multiple 2D Lyapunov functions, respectively. Then, the proposed results are used to design the iterative learning controller. Finally, an example is given to illustrate the effectiveness of the proposed results.