Specifying User Preferences using Weighted Signal Temporal Logic

Autor:	Mehdipour, Noushin, Vasile, Cristian-Ioan, Belta, Calin
Rok vydání:	2020
Předmět:	Electrical Engineering and Systems Science - Systems and Control
Druh dokumentu:	Working Paper
Popis:	We extend Signal Temporal Logic (STL) to enable the specification of importance and priorities. The extension, called Weighted STL (wSTL), has the same qualitative (Boolean) semantics as STL, but additionally defines weights associated with Boolean and temporal operators that modulate its quantitative semantics (robustness). We show that the robustness of wSTL can be defined as weighted generalizations of all known compatible robustness functionals (i.e., robustness scores that are recursively defined over formulae) that can take into account the weights in wSTL formulae. We utilize this weighted robustness to distinguish signals with respect to a desired wSTL formula that has sub-formulae with different importance or priorities and time preferences, and demonstrate its usefulness in problems with conflicting tasks where satisfaction of all tasks cannot be achieved. We also employ wSTL robustness in an optimization framework to synthesize controllers that maximize satisfaction of a specification with user specified preferences. Comment: Submitted to IEEE Control Systems Letters (L-CSS)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.00752 Zobrazit plný text záznamu View this record from Arxiv