This article describes a continuous function for limiting vibration in flexible systems by convolving the original command to the system. Unlike previous command shaping strategies, a continuous function shapes the original command to suppress vibration. The effectiveness of this method for robustness is explored and quantified. The theoretic analysis shows that this method has more insensitivity at higher frequencies. However, the robust input shaper gets more insensitive at lower frequencies. Experimental results for a planar bridge crane validate the simulated dynamic behavior and the effectiveness of the continuous function.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.