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arXiv · 2606.21431

Reliability Assessment and Performance Enhancement of Reset Control Systems

Ali Hosseini·Dragan Kostić·Hassan HosseinNia
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Abstract

This paper develops a frequency-domain reliability assessment framework for reset control systems. The closed-loop higher-order sinusoidal-input describing function formulation is extended to explicitly include the reset-triggering signal generated through a shaping filter. Based on this signal, two metrics are introduced: \(σ_t\), which quantifies reset-time deviation, and \(σ_d\), which evaluates the tendency toward additional zero crossings. These metrics provide design-oriented indicators for identifying potentially unreliable reset behavior. To improve reset-triggering reliability, a first-order shaping filter is proposed for a generalized first-order reset element, increasing the low-frequency attenuation slope of the nonzero higher-order harmonics. The proposed analysis is evaluated on an industrial motion stage. The results show that the proposed metrics capture reliability issues that are not evident from the first-order closed-loop response alone and can therefore support the design of reset controllers with more reliable reset-triggering behavior.

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Ali Hosseini, Dragan Kostić, Hassan HosseinNia. 2026-09-21. Reliability Assessment and Performance Enhancement of Reset Control Systems. https://arxiv.org/abs/2606.21431

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