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arXiv · 2001.10487

Closed-Loop Frequency Analysis of Reset Control Systems

Ali Ahmadi Dastjerdi·A. Astolfi·Niranjan Saikumar·N. Karbasizadeh·Duarte Valerio·S. Hassan HosseinNia
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Abstract

This paper 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, pseudo-sensitivities 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. To show the effectiveness of the proposed analysis method the position control problem for a precision positioning stage is studied. In particular, comparison with the results achieved using methods based on the Describing Function shows that the proposed method achieves superior closed-loop performance.

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Ali Ahmadi Dastjerdi, A. Astolfi, Niranjan Saikumar, N. Karbasizadeh, Duarte Valerio, S. Hassan HosseinNia. 2020-01-28. Closed-Loop Frequency Analysis of Reset Control Systems. https://arxiv.org/abs/2001.10487

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