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arXiv · 2203.10041

Compositional Synthesis of Signal Temporal Logic Tasks via Assume-Guarantee Contracts

Siyuan Liu·Adnane Saoud·Pushpak Jagtap·Dimos V. Dimarogonas·Majid Zamani
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Abstract

In this paper, we focus on the problem of compositional synthesis of controllers enforcing signal temporal logic (STL) tasks over a class of continuous-time nonlinear interconnected systems. By leveraging the idea of funnel-based control, we show that a fragment of STL specifications can be formulated as assume-guarantee contracts. A new concept of contract satisfaction is then defined to establish our compositionality result, which allows us to guarantee the satisfaction of a global contract by the interconnected system when all subsystems satisfy their local contracts. Based on this compositional framework, we then design closed-form continuous-time feedback controllers to enforce local contracts over subsystems in a decentralized manner. Finally, we demonstrate the effectiveness of our results on two numerical examples.

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Siyuan Liu, Adnane Saoud, Pushpak Jagtap, Dimos V. Dimarogonas, Majid Zamani. 2022-03-18. Compositional Synthesis of Signal Temporal Logic Tasks via Assume-Guarantee Contracts. https://doi.org/10.1109/cdc51059.2022.9992715

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