2011/06/16 by Jian-Xin Xu, Jian‐Xin Xu · 4 citations
Engineering · Mathematics · #Advanced Surface Polishing Techniques #Artificial intelligence #Computer science #Control (management) #Control engineering #Control theory (sociology) #Engineering #Focus (optics) #Iterative Learning Control Systems #Iterative learning control #Lipschitz continuity #Lyapunov function #Mathematics #Nonlinear system #Physics #Piezoelectric Actuators and Control
paper · doi:10.1080/00207179.2011.574236
openalex publication_date 2011/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
In this article we review the recent advances in iterative learning control (ILC) for nonlinear dynamic systems. In the research field of ILC, two categories of system nonlinearities are considered, namely, the global Lipschitz continuous (GLC) functions and local Lipschitz continuous (LLC) functions. ILC for GLC systems is widely studied and analysed using contraction mapping approach, and the focus of recent exploration moves to application problems, though a number of theoretical issues remain open. ILC for LLC systems is currently a hot area and the recent research focuses on ILC design and analysis by means of Lyapunov approach. The objectives of this article are to introduce recent development and advances in nonlinear ILC schemes, highlight their effectiveness and limitations, as well as discuss the directions for further exploration of nonlinear ILC.