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arXiv · 2506.13518

Reset Controller Analysis and Design for Unstable Linear Plants using Scaled Relative Graphs

Julius P. J. Krebbekx·Roland Tóth·Amritam Das
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Abstract

In this technical communique, we develop a graphical design procedure for reset controllers for unstable LTI plants based on recent developments on Scaled Relative Graph analysis, yielding an $L_2$-gain performance bound. The stabilizing controller consists of a second order reset element in parallel with a proportional gain. The proposed method goes beyond existing approaches that are limited to stable systems only, providing a well-applicable approach to design problems in practice where the plant is unstable.

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Julius P. J. Krebbekx, Roland Tóth, Amritam Das. 2025-06-16. Reset Controller Analysis and Design for Unstable Linear Plants using Scaled Relative Graphs. https://arxiv.org/abs/2506.13518

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