A contract negotiation scheme for safety verification of interconnected systems
This paper proposes a (control) barrier function synthesis and safety verification scheme for interconnected nonlinear systems based on assume-guarantee contracts (AGC) and sum-of-squares (SOS) techniques. It is well-known that the SOS approach does not scale well for barrier function synthesis for...
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Format: | Journal article |
Language: | English |
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Elsevier
2024
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author | Tan, X Papachristodoulou, A Dimarogonas, DV |
author_facet | Tan, X Papachristodoulou, A Dimarogonas, DV |
author_sort | Tan, X |
collection | OXFORD |
description | This paper proposes a (control) barrier function synthesis and safety verification scheme for interconnected nonlinear systems based on assume-guarantee contracts (AGC) and sum-of-squares (SOS) techniques. It is well-known that the SOS approach does not scale well for barrier function synthesis for high-dimensional systems. In this paper, we show that compositional methods like AGC can mitigate this problem. We formulate the synthesis problem into a set of small-size problems, which constructs local contracts for subsystems, and propose a negotiation scheme among the subsystems at the contract level. The proposed scheme is then implemented numerically on two examples: vehicle platooning and room temperature regulation. |
first_indexed | 2024-12-09T03:37:55Z |
format | Journal article |
id | oxford-uuid:f5bb1a37-2512-4a57-aa23-873847a36d7f |
institution | University of Oxford |
language | English |
last_indexed | 2025-02-19T04:30:51Z |
publishDate | 2024 |
publisher | Elsevier |
record_format | dspace |
spelling | oxford-uuid:f5bb1a37-2512-4a57-aa23-873847a36d7f2024-12-17T11:32:44ZA contract negotiation scheme for safety verification of interconnected systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f5bb1a37-2512-4a57-aa23-873847a36d7fEnglishSymplectic ElementsElsevier2024Tan, XPapachristodoulou, ADimarogonas, DVThis paper proposes a (control) barrier function synthesis and safety verification scheme for interconnected nonlinear systems based on assume-guarantee contracts (AGC) and sum-of-squares (SOS) techniques. It is well-known that the SOS approach does not scale well for barrier function synthesis for high-dimensional systems. In this paper, we show that compositional methods like AGC can mitigate this problem. We formulate the synthesis problem into a set of small-size problems, which constructs local contracts for subsystems, and propose a negotiation scheme among the subsystems at the contract level. The proposed scheme is then implemented numerically on two examples: vehicle platooning and room temperature regulation. |
spellingShingle | Tan, X Papachristodoulou, A Dimarogonas, DV A contract negotiation scheme for safety verification of interconnected systems |
title | A contract negotiation scheme for safety verification of interconnected systems |
title_full | A contract negotiation scheme for safety verification of interconnected systems |
title_fullStr | A contract negotiation scheme for safety verification of interconnected systems |
title_full_unstemmed | A contract negotiation scheme for safety verification of interconnected systems |
title_short | A contract negotiation scheme for safety verification of interconnected systems |
title_sort | contract negotiation scheme for safety verification of interconnected systems |
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