Online Feedback Optimization over Networks: A Distributed Model-free Approach
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913497523159040 |
|---|---|
| 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 (OFO) enables optimal steady-state operations of a physical system by employing an iterative optimization algorithm as a dynamic feedback controller. When the plant consists of several interconnected sub-systems, centralized implementations become impractical due to the heavy computational burden and the need to pre-compute system-wide sensitivities, which may not be easily accessible in practice. Motivated by these challenges, we develop a fully distributed model-free OFO controller, featuring consensus-based tracking of the global objective value and local iterative (projected) updates that use stochastic gradient estimates. We characterize how the closed-loop performance depends on the size of the network, the number of iterations, and the level of accuracy of consensus. Numerical simulations on a voltage control problem in a direct current power grid corroborate the theoretical findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19834 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Online Feedback Optimization over Networks: A Distributed Model-free Approach Wang, Wenbin He, Zhiyu Belgioioso, Giuseppe Bolognani, Saverio Dörfler, Florian Optimization and Control Online feedback optimization (OFO) enables optimal steady-state operations of a physical system by employing an iterative optimization algorithm as a dynamic feedback controller. When the plant consists of several interconnected sub-systems, centralized implementations become impractical due to the heavy computational burden and the need to pre-compute system-wide sensitivities, which may not be easily accessible in practice. Motivated by these challenges, we develop a fully distributed model-free OFO controller, featuring consensus-based tracking of the global objective value and local iterative (projected) updates that use stochastic gradient estimates. We characterize how the closed-loop performance depends on the size of the network, the number of iterations, and the level of accuracy of consensus. Numerical simulations on a voltage control problem in a direct current power grid corroborate the theoretical findings. |
| title | Online Feedback Optimization over Networks: A Distributed Model-free Approach |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2403.19834 |