arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2103.09091eess.SYcs.SY
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信号时序逻辑规范下不确定系统的在线控制综合

Online Control Synthesis for Uncertain Systems under Signal Temporal Logic Specifications

Pian Yu, Yulong Gao, Frank J. Jiang, Karl H. Johansson, Dimos V. Dimarogonas

摘要:

研究了不确定离散时间系统在信号时序逻辑(STL)规范下的在线控制综合问题。不同于现有的技术,这项工作提出了一种基于STL,可达性分析,和时态逻辑树的方法。首先,提出了一种实时版本的STL语义和一种基于管的时态逻辑树(tTLT)。我们表明,tTLT是一个欠近似的STL公式,在这个意义上说,一个轨迹满足tTLT也满足相应的STL公式。其次,设计了一种在线控制综合算法。证明了当STL公式鲁棒可满足且系统的初始状态属于tTLT的初始根节点时,保证了控制综合算法生成的轨迹满足STL公式。仿真实例和实际实验验证了该方法的有效性。

英文摘要:

This paper studies the online control synthesis problem for uncertain discrete-time systems subject to signal temporal logic (STL) specifications. Different from existing techniques, this work proposes an approach based on STL, reachability analysis, and temporal logic trees. Firstly, a real-time version of STL semantics and a tube-based temporal logic tree (tTLT) are proposed. We show that the tTLT is an underapproximation for the STL formula, in the sense that a trajectory satisfying an tTLT also satisfies the corresponding STL formula. Secondly, an online control synthesis algorithm is designed. It is shown that when the STL formula is robustly satisfiable and the initial state of the system belongs to the initial root node of the tTLT, it is guaranteed that the trajectory generated by the control synthesis algorithm satisfies the STL formula. The effectiveness of the proposed approach is verified by a simulation example and a practical experiment.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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