Robust Controller Synthesis under Markovian Mode Switching with Periodic LTV Dynamics
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912033257029632 |
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| author | Shrivastava, Shaurya Oguri, Kenshiro |
| author_facet | Shrivastava, Shaurya Oguri, Kenshiro |
| contents | In this work, we propose novel LMI-based controller synthesis frameworks for periodically time-varying Markov-jump linear systems. We first discuss the necessary conditions for mean square stability and derive Lyapunov-like conditions for stability assurance. To relax strict stability requirements, we introduce a new criterion that doesn't require the Lyapunov function to decrease at each time step. Further, we incorporate these stability theorems in LMI-based controller synthesis frameworks while considering two separate problems: minimizing a quadratic cost, and maximizing the region of attraction. Numerical simulations verify the controllers' stability and showcase its applicability to fault-tolerant control. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11537 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Robust Controller Synthesis under Markovian Mode Switching with Periodic LTV Dynamics Shrivastava, Shaurya Oguri, Kenshiro Optimization and Control In this work, we propose novel LMI-based controller synthesis frameworks for periodically time-varying Markov-jump linear systems. We first discuss the necessary conditions for mean square stability and derive Lyapunov-like conditions for stability assurance. To relax strict stability requirements, we introduce a new criterion that doesn't require the Lyapunov function to decrease at each time step. Further, we incorporate these stability theorems in LMI-based controller synthesis frameworks while considering two separate problems: minimizing a quadratic cost, and maximizing the region of attraction. Numerical simulations verify the controllers' stability and showcase its applicability to fault-tolerant control. |
| title | Robust Controller Synthesis under Markovian Mode Switching with Periodic LTV Dynamics |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2409.11537 |