Frequency-domain Analysis for Infinite Resets Systems*

Reset control systems have possessed the potential to meet the demands of machines, such as faster response times, improved disturbance rejection and enhanced tracking performance. However, prior research on the analysis and design of reset controllers has been restricted to the assumption of two resets per period, neglecting multiple-reset scenarios. In light of this, we focus on the frequency-domain analysis of Infinite-reset Control Systems, which serve as the limit case of multiple-reset control systems, and propose a new model for their analysis. Through this model, the sensitivity functions of Infinite-reset Control Systems are characterised, linking their frequency-domain and time-domain behaviour. The effectiveness of the infinite-reset system is evaluated through simulation of a reset control system case. The results reveal that the infinitereset system demonstrates improved accuracy in prediction in multiple-reset systems compared to the previous analysis methods. Furthermore, this study provides a deeper understanding of the reset systems.