Closed-Loop Frequency Analysis of Reset Control Systems
Ali Ahmadi Ahmadi Dastjerdi (TU Delft - Mechatronic Systems Design)
Alessandro Astolfi (Università di Roma Tor Vergata, Imperial College London)
Niranjan Saikumar (TU Delft - Mechatronic Systems Design)
Nima Karbasizadeh (TU Delft - Mechatronic Systems Design)
Duarte Valerio (Universidade Técnica de Lisboa)
S. Hassan Hassan HosseinNia (TU Delft - Mechatronic Systems Design)
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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.
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