シンボリック制御のための信号時相論理の滑らかなロバスト性尺度
A Smooth Robustness Measure of Signal Temporal Logic for Symbolic Control
信号時相論理(STL)のロバスト性をどこでも滑らかで健全かつ漸近的に完全な近似で評価する手法を提案し、保守性と完全性のトレードオフを明示的に調整可能にした。
著者: Yann Gilpin, Vince Kurtz, Hai Lin
分類: eess.SY, cs.RO, cs.SY
原文アブストラクト
Recent years have seen an increasing use of Signal Temporal Logic (STL) as a formal specification language for symbolic control, due to its expressiveness and closeness to natural language. Furthermore, STL specifications can be encoded as cost functions using STL's robust semantics, transforming the synthesis problem into an optimization problem. Unfortunately, these cost functions are non-smooth and non-convex, and exact solutions using mixed-integer programming do not scale well. Recent work has focused on using smooth approximations of robustness, which enable faster gradient-based methods to find local maxima, at the expense of soundness and/or completeness. We propose a novel robustness approximation that is smooth everywhere, sound, and asymptotically complete. Our approach combines the benefits of existing approximations, while enabling an explicit tradeoff between conservativeness and completeness.
