Mode-Prefix-Based Control of Switched Linear Systems with Applications to Fault Tolerance
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916938644455424 |
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| author | Padmanabhan, Ram Aspeel, Antoine Ozay, Necmiye Ornik, Melkior |
| author_facet | Padmanabhan, Ram Aspeel, Antoine Ozay, Necmiye Ornik, Melkior |
| contents | In this paper, we consider the problem of designing prefix-based optimal controllers for switched linear systems over finite horizons. This problem arises in fault-tolerant control, when system faults result in abrupt changes in dynamics. We consider a class of mode-prefix-based linear controllers that depend only on the history of the switching signal. The proposed optimal control problems seek to minimize both expected performance and worst-case performance over switching signals. We show that this problem can be reduced to a convex optimization problem. To this end, we synthesize one controller for each switching signal under a prefix constraint that ensures consistency between controllers. Then, system level synthesis is used to obtain a convex program in terms of the system-level parameters. In particular, it is shown that the prefix constraints are linear in terms of the system-level parameters. Finally, we apply this framework for optimal control of a fighter jet model suffering from system faults, illustrating how fault tolerance is ensured. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_13105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mode-Prefix-Based Control of Switched Linear Systems with Applications to Fault Tolerance Padmanabhan, Ram Aspeel, Antoine Ozay, Necmiye Ornik, Melkior Optimization and Control In this paper, we consider the problem of designing prefix-based optimal controllers for switched linear systems over finite horizons. This problem arises in fault-tolerant control, when system faults result in abrupt changes in dynamics. We consider a class of mode-prefix-based linear controllers that depend only on the history of the switching signal. The proposed optimal control problems seek to minimize both expected performance and worst-case performance over switching signals. We show that this problem can be reduced to a convex optimization problem. To this end, we synthesize one controller for each switching signal under a prefix constraint that ensures consistency between controllers. Then, system level synthesis is used to obtain a convex program in terms of the system-level parameters. In particular, it is shown that the prefix constraints are linear in terms of the system-level parameters. Finally, we apply this framework for optimal control of a fighter jet model suffering from system faults, illustrating how fault tolerance is ensured. |
| title | Mode-Prefix-Based Control of Switched Linear Systems with Applications to Fault Tolerance |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2505.13105 |