An Iterative Learning Control Design Method for Nonlinear Discrete-Time Systems with Unknown Iteration-Varying Parameters and Control Direction. (29th September 2016)

• Record Type: Journal Article
• Authors: Zhao, Duo; Yang, Yong
• Other Names: Xie Xuejun Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-09-29
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/8971407
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : An iterative learning control (ILC) scheme is designed for a class of nonlinear discrete-time dynamical systems with unknown iteration-varying parameters and control direction. The iteration-varying parameters are described by a high-order internal model (HOIM) such that the unknown parameters in the current iteration are a linear combination of the counterparts in the previous certain iterations. Under the framework of ILC, the learning convergence condition is derived through rigorous analysis. It is shown that the adaptive ILC law can achieve perfect tracking of system state in presence of iteration-varying parameters and unknown control direction. The effectiveness of the proposed control scheme is verified by simulations.