A Frequency-Domain Stability Method for Reset Systems
A. Ahmadi Dastjerdi (TU Delft - Mechatronic Systems Design)
Alessandro Astolfi (Imperial College London)
S. Hassan Hassan HosseinNia (TU Delft - Mechatronic Systems Design)
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Abstract
The potential of reset controllers to enhance the performance of control systems 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 Hß method tries to solve this significant issue. However, assessing the Hß 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.