A Controller Synthesis Framework for Weakly-Hard Control Systems
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866913121599225856 |
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| author | Seidel, Marc Maggio, Martina Allgöwer, Frank |
| author_facet | Seidel, Marc Maggio, Martina Allgöwer, Frank |
| contents | Deadline misses are more common in real-world systems than one may expect. The weakly-hard task model has become a standard abstraction to describe and analyze how often these misses occur, and has been especially used in control applications. Most existing control approaches check whether a controller manages to stabilize the system it controls when its implementation occasionally misses deadlines. However, they usually do not incorporate deadline-overrun knowledge during the controller synthesis process. In this paper, we present a framework that explicitly integrates weakly-hard constraints into the control design. Our method supports various overrun handling strategies and guarantees stability and performance under weakly-hard constraints. We validate the synthesized controllers on a Furuta pendulum, a representative control benchmark. The results show that constraint-aware controllers significantly outperform traditional designs, demonstrating the benefits of proactive and informed synthesis for overrun-aware real-time control. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20146 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Controller Synthesis Framework for Weakly-Hard Control Systems Seidel, Marc Maggio, Martina Allgöwer, Frank Systems and Control Deadline misses are more common in real-world systems than one may expect. The weakly-hard task model has become a standard abstraction to describe and analyze how often these misses occur, and has been especially used in control applications. Most existing control approaches check whether a controller manages to stabilize the system it controls when its implementation occasionally misses deadlines. However, they usually do not incorporate deadline-overrun knowledge during the controller synthesis process. In this paper, we present a framework that explicitly integrates weakly-hard constraints into the control design. Our method supports various overrun handling strategies and guarantees stability and performance under weakly-hard constraints. We validate the synthesized controllers on a Furuta pendulum, a representative control benchmark. The results show that constraint-aware controllers significantly outperform traditional designs, demonstrating the benefits of proactive and informed synthesis for overrun-aware real-time control. |
| title | A Controller Synthesis Framework for Weakly-Hard Control Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2603.20146 |