Closed-Loop Frequency Analysis of Reset Control Systems

Ali Ahmadi Dastjerdi, Alessandro Astolfi, Niranjan Saikumar, Nima Karbasizadeh, Duarte Valerio, S. Hassan HosseinNia

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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.

Original languageEnglish
Pages (from-to)1146-1153
JournalIEEE Transactions on Automatic Control
Volume68
Issue number2
DOIs
Publication statusPublished - 2023

Keywords

  • Control systems
  • Convergent
  • Frequency response
  • Frequency-domain analysis
  • frequency-domain analysis
  • Harmonic analysis
  • pseudo-sensitivities
  • reset controllers
  • Steady-state
  • Sufficient conditions
  • Transfer functions

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