Decentralized Frequency-Domain Conditions for D-Stability with Application to DC Microgrids
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909040314941440 |
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| author | Sun, Zelin Jiang, Shanshan Peng, Xiaoyu Zhu, Xiang He, Xiuqiang Geng, Hua |
| author_facet | Sun, Zelin Jiang, Shanshan Peng, Xiaoyu Zhu, Xiang He, Xiuqiang Geng, Hua |
| contents | This paper proposes a decentralized method for regional pole placement, or $\mathcal{D}$-stability, in linearized networked systems. Existing LMI-based methods are hindered by confidentiality concerns regarding proprietary subsystem models and the absence of communication infrastructures. To overcome these barriers, we map the target region $\mathcal{D}$ of pole placement to an auxiliary left-half plane and introduce positive functions to handle the resulting complex-coefficient dynamics. We prove that $\mathcal{D}$-stability is guaranteed via local frequency-domain criteria without requiring shared subsystem models or inter-subsystem communication. This method is then tailored to DC microgrids, where a loop transformation is utilized to reallocate the burden of stability certification, deriving a broadcastable grid code for decentralized parameter synthesis. Numerical examples verify the efficacy of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13529 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Decentralized Frequency-Domain Conditions for D-Stability with Application to DC Microgrids Sun, Zelin Jiang, Shanshan Peng, Xiaoyu Zhu, Xiang He, Xiuqiang Geng, Hua Systems and Control This paper proposes a decentralized method for regional pole placement, or $\mathcal{D}$-stability, in linearized networked systems. Existing LMI-based methods are hindered by confidentiality concerns regarding proprietary subsystem models and the absence of communication infrastructures. To overcome these barriers, we map the target region $\mathcal{D}$ of pole placement to an auxiliary left-half plane and introduce positive functions to handle the resulting complex-coefficient dynamics. We prove that $\mathcal{D}$-stability is guaranteed via local frequency-domain criteria without requiring shared subsystem models or inter-subsystem communication. This method is then tailored to DC microgrids, where a loop transformation is utilized to reallocate the burden of stability certification, deriving a broadcastable grid code for decentralized parameter synthesis. Numerical examples verify the efficacy of the proposed method. |
| title | Decentralized Frequency-Domain Conditions for D-Stability with Application to DC Microgrids |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2605.13529 |