Characterizing Controllability and Observability for Systems with Locality, Communication, and Actuation Constraints
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_ | 1866910399120539648 |
|---|---|
| author | Conger, Lauren Lin, Yiheng Wierman, Adam Mazumdar, Eric |
| author_facet | Conger, Lauren Lin, Yiheng Wierman, Adam Mazumdar, Eric |
| contents | This paper presents a closed-form notion of controllability and observability for systems with communication delays, actuation delays, and locality constraints. The formulation reduces to classical notions of controllability and observability in the unconstrained setting. As a consequence of our formulation, we show that the addition of locality and communication constraints may not affect the controllability and observability of the system, and we provide an efficient sufficient condition under which this phenomenon occurs. This contrasts with actuation and sensing delays, which cause a gradual loss of controllability and observability as the delays increase. We illustrate our results using linearized swing equations for the power grid, showing how actuation delay and locality constraints affect controllability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18956 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterizing Controllability and Observability for Systems with Locality, Communication, and Actuation Constraints Conger, Lauren Lin, Yiheng Wierman, Adam Mazumdar, Eric Optimization and Control This paper presents a closed-form notion of controllability and observability for systems with communication delays, actuation delays, and locality constraints. The formulation reduces to classical notions of controllability and observability in the unconstrained setting. As a consequence of our formulation, we show that the addition of locality and communication constraints may not affect the controllability and observability of the system, and we provide an efficient sufficient condition under which this phenomenon occurs. This contrasts with actuation and sensing delays, which cause a gradual loss of controllability and observability as the delays increase. We illustrate our results using linearized swing equations for the power grid, showing how actuation delay and locality constraints affect controllability. |
| title | Characterizing Controllability and Observability for Systems with Locality, Communication, and Actuation Constraints |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2403.18956 |