Abstract

This article investigates the trajectory tracking problem of repeatable discrete-time nonlinear systems with unknown dynamics. The conventional paradigm in this field is to construct an iterative learning controller with the approximately identified model, considering only tracking error information at the current iteration. This leads to the neglect of the error variation trend along historical iterations. To circumvent unmodeled dynamics and capitalise on multi-step iteration error information, a backward difference iterative learning control (BD-ILC) approach is formulated. Initially, a vector data transfer mechanism employing the backward difference iteration error is introduced based on the dynamic data mapping. Within this mechanism, the proportional, differential and quadratic differential control terms are firstly incorporated simultaneously along the iteration domain. Furthermore, a convergence analysis approach is developed using the error deflation spanning tree technique. Simulations validate the enhanced efficacy of the BD-ILC approach, surpassing that of distinct control approaches.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.