Current cycle feedback iterative learning control for tracking control of magnetic levitation system

Abstract

This paper presents the current cycle feedback iterative learning control (CCF-ILC) augmented with the modified proportional integral derivative (PID) controller to improve the trajectory tracking and robustness of magnetic levitation (maglev) system. Motivated by the need to enhance the point to point control of maglev technology, which is widely used in several industrial applications ranging from photolithography to vibration control, we present a novel CCF-ILC framework using plant inversion technique. Modulating the control signal based on the current tracking error, CCF-ILC reduces the dependency on accurate plant model and significantly improves the robustness of the closed loop system by synthesizing the causal filters to counteract the effect of model uncertainty. To assess the stability, we present a maximum singular value based criterion for asymptotic stability of linear iterative system controlled using CCF-ILC. In addition, we prove the monotonic convergence of output sequence in the neighbourhood of reference trajectory. Finally, the proposed control framework is experimentally validated on a benchmark magnetic levitation system through hardware in loop (HIL) testing. Experimental results substantiate that synthesizing CCF-ILC with the feedback controller can significantly improve the trajectory tracking and robustness characteristics of maglev system.

Stabilization of two-dimensional mixed continuous-discrete-time systems via dynamic output feedback with application to iterative learning control design

“…This is because in ILC two independent variables exist, where one of the variables is time and the other one is repetition number. The interested readers are referred to Ahn et al (2007), Xu (2011), Bouakrif and Zasadzinski (2018), Shen (2018), Afsharnia et al (2019), Bensidhoum et al (2019), Jonnalagadda et al (2020) and references therein in order to see the concepts and applications of ILC, and see Geng et al (1990), Owens et al (2000), Li et al (2005a), Hladowski et al (2010), Meng et al (2010), Guan et al (2014) and Wang et al (2017b) for the usage of 2-D systems theory in ILC design.…”