A contract negotiation scheme for safety verification of interconnected systems

Fuente: arXiv
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Autori principali: Tan, Xiao, Papachristodoulou, Antonis, Dimarogonas, Dimos V.
Natura: Preprint
Pubblicazione: 2023
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author Tan, Xiao
Papachristodoulou, Antonis
Dimarogonas, Dimos V.
author_facet Tan, Xiao
Papachristodoulou, Antonis
Dimarogonas, Dimos V.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2311_03164
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A contract negotiation scheme for safety verification of interconnected systems
Tan, Xiao
Papachristodoulou, Antonis
Dimarogonas, Dimos V.
Systems and Control
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.
title A contract negotiation scheme for safety verification of interconnected systems
topic Systems and Control
url https://arxiv.org/abs/2311.03164