| Title:
|
Chance-constrained reachability analysis for data-driven predictive control of unknown nonlinear systems (English) |
| Author:
|
Ketema, Teketel |
| Author:
|
Luleseged Tilahun, Surafel |
| Author:
|
D. Zawka, Simon |
| Author:
|
Geletu, Abebe |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
62 |
| Issue:
|
2 |
| Year:
|
2026 |
| Pages:
|
305-331 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This study presents a novel data-driven predictive control approach for unknown nonlinear systems under bounded process and measurement noises. A chance-constrained reachability analysis control framework is proposed to provide probabilistic safety and robustness guarantees by characterizing the likely evolution of system behavior under risk-aware control. A zonotopic deep Koopman reachability analysis is used to design a data-driven controller without acquiring prior knowledge of the statistical properties of the noise. Unlike previous set-based approaches that enforce hard constraints under worst-case scenarios, the proposed method balances robustness and performance more effectively, reducing conservatism while still ensuring safety with bounded risk. It also guarantees recursive feasibility using a first-step constraint technique. A simulation study is conducted on a stirred-tank reactor system and a cart-damper-spring system to demonstrate the effectiveness of the proposed approach, with numerical results supporting the theoretical claims and highlighting its practical applicability. (English) |
| Keyword:
|
reachability analysis |
| Keyword:
|
chance constraint |
| Keyword:
|
first-step constraint |
| Keyword:
|
predictive control |
| Keyword:
|
recursive feasibility |
| MSC:
|
93B03 |
| MSC:
|
93C10 |
| MSC:
|
93E20 |
| MSC:
|
93E35 |
| DOI:
|
10.14736/kyb-2026-2-0305 |
| . |
| Date available:
|
2026-05-21T18:21:47Z |
| Last updated:
|
2026-05-21 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153636 |
| . |
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