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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Main Authors: Tan, X, Papachristodoulou, A, Dimarogonas, DV
Format: Journal article
Language:English
Published: 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.
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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
work_keys_str_mv AT tanx acontractnegotiationschemeforsafetyverificationofinterconnectedsystems
AT papachristodouloua acontractnegotiationschemeforsafetyverificationofinterconnectedsystems
AT dimarogonasdv acontractnegotiationschemeforsafetyverificationofinterconnectedsystems
AT tanx contractnegotiationschemeforsafetyverificationofinterconnectedsystems
AT papachristodouloua contractnegotiationschemeforsafetyverificationofinterconnectedsystems
AT dimarogonasdv contractnegotiationschemeforsafetyverificationofinterconnectedsystems