Reset Controller Analysis and Design for Unstable Linear Plants using Scaled Relative Graphs
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915354520846336 |
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| author | Krebbekx, Julius P. J. Tóth, Roland Das, Amritam |
| author_facet | Krebbekx, Julius P. J. Tóth, Roland Das, Amritam |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_13518 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reset Controller Analysis and Design for Unstable Linear Plants using Scaled Relative Graphs Krebbekx, Julius P. J. Tóth, Roland Das, Amritam Systems and Control Optimization and Control 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. |
| title | Reset Controller Analysis and Design for Unstable Linear Plants using Scaled Relative Graphs |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2506.13518 |