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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.08471 |
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| _version_ | 1866914789616254976 |
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| author | Jensen, Emily Junnarkar, Neelay Arcak, Murat Wu, Xiaofan Gumussoy, Suat |
| author_facet | Jensen, Emily Junnarkar, Neelay Arcak, Murat Wu, Xiaofan Gumussoy, Suat |
| contents | This paper presents a novel framework for characterizing dissipativity of uncertain systems whose dynamics evolve according to differential-algebraic equations. Sufficient conditions for dissipativity (specializing to, e.g., stability or $L_2$ gain bounds) are provided in the case that uncertainties are characterized by integral quadratic constraints. For polynomial or linear dynamics, these conditions can be efficiently verified through sum-of-squares or semidefinite programming. Performance analysis of the IEEE 39-bus power network with a set of potential line failures modeled as an uncertainty set provides an illustrative example that highlights the computational tractability of this approach; conservatism introduced in this example is shown to be quite minimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08471 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Certifying Stability and Performance of Uncertain Differential-Algebraic Systems: A Dissipativity Framework Jensen, Emily Junnarkar, Neelay Arcak, Murat Wu, Xiaofan Gumussoy, Suat Systems and Control This paper presents a novel framework for characterizing dissipativity of uncertain systems whose dynamics evolve according to differential-algebraic equations. Sufficient conditions for dissipativity (specializing to, e.g., stability or $L_2$ gain bounds) are provided in the case that uncertainties are characterized by integral quadratic constraints. For polynomial or linear dynamics, these conditions can be efficiently verified through sum-of-squares or semidefinite programming. Performance analysis of the IEEE 39-bus power network with a set of potential line failures modeled as an uncertainty set provides an illustrative example that highlights the computational tractability of this approach; conservatism introduced in this example is shown to be quite minimal. |
| title | Certifying Stability and Performance of Uncertain Differential-Algebraic Systems: A Dissipativity Framework |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2308.08471 |