1. Closed-Loop Frequency Analysis of Reset Control Systems
- Author
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Ahmadi Dastjerdi, Ali, Astolfi, Alessandro, Saikumar, Niranjan, Karbasizadeh, Nima, Valério, Duarte, and HosseinNia, S. Hassan
- Subjects
Convergent, frequency-domain analysis, pseudosensitivities, reset controllers - Abstract
This article introduces a closed-loop frequency analysis tool for reset control systems. To begin with sufficient conditions for the existence of the steady-state response for a closed-loop system with a reset element and driven by periodic references are provided. It is then shown that, under specific conditions, such a steady-state response for periodic inputs is periodic with the same period as the input. Furthermore, a framework to obtain the steady-state response and to define a notion of closed-loop frequency response, including high order harmonics, is presented. Finally, pseudosensitivities for reset control systems are defined. These simplify the analysis of this class of systems and allow a direct software implementation of the analysis tool. This methods gives deeper insight into the performance of the system than that achieved with the describing function method.
- Published
- 2022