Decentralized Feedback Optimization via Sensitivity Decoupling: Stability and Sub-optimality
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914732680675328 |
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| author | Wang, Wenbin He, Zhiyu Belgioioso, Giuseppe Bolognani, Saverio Dörfler, Florian |
| author_facet | Wang, Wenbin He, Zhiyu Belgioioso, Giuseppe Bolognani, Saverio Dörfler, Florian |
| contents | Online feedback optimization is a controller design paradigm for optimizing the steady-state behavior of a dynamical system. It employs an optimization algorithm as a dynamic feedback controller and utilizes real-time measurements to bypass knowing exact plant dynamics and disturbances. Different from existing centralized settings, we present a fully decentralized feedback optimization controller for networked systems to lift the communication burden and improve scalability. We approximate the overall input-output sensitivity matrix through its diagonal elements, which capture local model information. For the closed-loop behavior, we characterize the stability and bound the sub-optimality due to decentralization. We prove that the proposed decentralized controller yields solutions that correspond to the Nash equilibria of a non-cooperative game. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09408 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decentralized Feedback Optimization via Sensitivity Decoupling: Stability and Sub-optimality Wang, Wenbin He, Zhiyu Belgioioso, Giuseppe Bolognani, Saverio Dörfler, Florian Optimization and Control Systems and Control Online feedback optimization is a controller design paradigm for optimizing the steady-state behavior of a dynamical system. It employs an optimization algorithm as a dynamic feedback controller and utilizes real-time measurements to bypass knowing exact plant dynamics and disturbances. Different from existing centralized settings, we present a fully decentralized feedback optimization controller for networked systems to lift the communication burden and improve scalability. We approximate the overall input-output sensitivity matrix through its diagonal elements, which capture local model information. For the closed-loop behavior, we characterize the stability and bound the sub-optimality due to decentralization. We prove that the proposed decentralized controller yields solutions that correspond to the Nash equilibria of a non-cooperative game. |
| title | Decentralized Feedback Optimization via Sensitivity Decoupling: Stability and Sub-optimality |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2311.09408 |