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arXiv · 2005.02887

A Frequency-Domain Stability Method for Reset Systems

Ali Ahmadi Dastjerdi·Alessandro Astolfi·S. Hassan HosseinNia
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Abstract

Nowadays, the demand for an alternative to linear PID controllers has increased because of the rising expectations of the high-precision industry. The potential of reset controllers to solve this important challenge has been extensively demonstrated in the literature. However, similarly to other non-linear controllers, the stability analysis for these controllers is complex and relies on parametric models of the systems which may hinder the applicability of these controllers in industry. The well-known Hbeta method tries to solve this significant issue. However, assessing the H\b{eta} condition in the frequency-domain is complex, especially for high dimensional plants. In addition, it cannot be used to assess UBIBS stability of reset control systems in the case of reseting to non-zero values. These problems have been solved in this paper for the first order reset elements, and an easy-to-use frequency approach for assessing stability of reset control systems is proposed. The effectiveness of the proposed approach is demonstrated through a practical example.

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Ali Ahmadi Dastjerdi, Alessandro Astolfi, S. Hassan HosseinNia. 2020-05-06. A Frequency-Domain Stability Method for Reset Systems. https://doi.org/10.1109/cdc42340.2020.9304439

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