arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2104.02677eess.SYcs.SY
收藏

STL指标的时间鲁棒控制

Time-Robust Control for STL Specifications

Alena Rodionova, Lars Lindemann, Manfred Morari, George J. Pappas

摘要:

我们提出了一个鲁棒控制框架的时间关键系统,其中满足实时约束鲁棒是至关重要的系统的安全性。信号时序逻辑(STL)提供了一种正式的方法来表达信号上的各种实时约束,并且适合于规划和控制目的,因为它允许我们推理此类约束的时间鲁棒性。STL的时间鲁棒性特别量化了在不违反实时规范的情况下可以容忍定时不确定性的程度。在本文中,我们首先提出了一个控制问题,我们的目标是找到一个最佳的输入序列的控制系统,最大限度地提高了STL约束的时间鲁棒性。然后,我们提出了一个混合的非线性规划(MILP)编码,并提供正确性的保证,以及编码的复杂性分析。我们还表明,在两个案例研究中,最大限度地提高STL的时间鲁棒性,可以考虑到潜在的控制系统的时间不确定性。

英文摘要:

We present a robust control framework for time-critical systems in which satisfying real-time constraints robustly is of utmost importance for the safety of the system. Signal Temporal Logic (STL) provides a formal means to express a large variety of real-time constraints over signals and is suited for planning and control purposes as it allows us to reason about the time robustness of such constraints. The time robustness of STL particularly quantifies the extent to which timing uncertainties can be tolerated without violating real-time specifications. In this paper, we first pose a control problem in which we aim to find an optimal input sequence to a control system that maximizes the time robustness of an STL constraint. We then propose a Mixed Integer Linear Program (MILP) encoding and provide correctness guarantees along with a complexity analysis of the encoding. We also show in two case studies that maximizing STL time robustness allows to account for timing uncertainties of the underlying control system.

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。

↑