论文标题

通过假定保证合同的信号时间逻辑任务的组成合成

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

论文作者

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

论文摘要

在本文中,我们着重于控制信号时间逻辑(STL)任务的控制器的组成合成问题,该任务是连续的非线性互连系统的。通过利用基于漏斗的控制的想法,我们表明可以将STL规范的片段作为假定合同提出。然后,定义了一个新的合同满意度概念以建立我们的组成性结果,这使我们能够在所有子系统满足其本地合同时,可以保证互连系统对全球合同的满意。然后,基于此组成框架,我们设计了封闭形式的连续时间反馈控制器,以分散的方式对子系统进行本地合同。最后,我们在两个数字示例中证明了结果的有效性。

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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