Frequency-domain stability methods for reset control systems

Journal Article (2023)
Author(s)

A. Ahmadi Dastjerdi (TU Delft - Mechatronic Systems Design)

Alessandro Astolfi (Imperial College London)

S. Hassan Hassan HosseinNia (TU Delft - Mechatronic Systems Design)

Research Group
Mechatronic Systems Design
Copyright
© 2023 A. Ahmadi Dastjerdi, Alessandro Astolfi, S. Hassan HosseinNia
DOI related publication
https://doi.org/10.1016/j.automatica.2022.110737
More Info
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Publication Year
2023
Language
English
Copyright
© 2023 A. Ahmadi Dastjerdi, Alessandro Astolfi, S. Hassan HosseinNia
Research Group
Mechatronic Systems Design
Volume number
148
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Abstract

Reset controllers have the potential to enhance the performance of high-precision industrial motion systems. However, similar to other non-linear controllers, the stability analysis for these controllers is complex and often requires parametric model of the system, which may hinder their applicability. In this paper a frequency-domain approach for assessing stability properties of control systems with first and second order reset elements is developed. The proposed approach is also able to determine uniformly bounded-input bounded-state (UBIBS) property for reset control systems in the case of resetting to non-zero values. An illustrative example to demonstrate the effectiveness of the proposed approach in using frequency response measurements to assess stability properties of reset control systems is presented.