TY - JOUR
T1 - Closed-Loop Frequency Analysis of Reset Control Systems
AU - Dastjerdi, Ali Ahmadi
AU - Astolfi, Alessandro
AU - Saikumar, Niranjan
AU - Karbasizadeh, Nima
AU - Valerio, Duarte
AU - HosseinNia, S. Hassan
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - Control systems
KW - Convergent
KW - Frequency response
KW - Frequency-domain analysis
KW - frequency-domain analysis
KW - Harmonic analysis
KW - pseudo-sensitivities
KW - reset controllers
KW - Steady-state
KW - Sufficient conditions
KW - Transfer functions
UR - http://www.scopus.com/inward/record.url?scp=85133655200&partnerID=8YFLogxK
U2 - 10.1109/TAC.2022.3184039
DO - 10.1109/TAC.2022.3184039
M3 - Article
AN - SCOPUS:85133655200
SN - 0018-9286
VL - 68
SP - 1146
EP - 1153
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 2
ER -