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This paper presents a model-free reinforcement learning (RL) algorithm to synthesize a control policy that maximizes the satisfaction probability of linear temporal logic (LTL) specifications. Due to the consideration of environment and…

Formal Languages and Automata Theory · Computer Science 2022-01-04 Mingyu Cai , Shaoping Xiao , Baoluo Li , Zhiliang Li , Zhen Kan

In environments like offices, the duration of a robot's navigation between two locations may vary over time. For instance, reaching a kitchen may take more time during lunchtime since the corridors are crowded with people heading the same…

Robotics · Computer Science 2024-03-07 Alexis Linard , Anna Gautier , Daniel Duberg , Jana Tumova

We present a method to solve planning problems involving sequential decision making in unpredictable environments while accomplishing a high level task specification expressed using the formalism of linear temporal logic. Our method…

Robotics · Computer Science 2015-06-16 Seyedshams Feyzabadi , Stefano Carpin

Integrated task and motion planning has emerged as a challenging problem in sequential decision making, where a robot needs to compute high-level strategy and low-level motion plans for solving complex tasks. While high-level strategies…

Artificial Intelligence · Computer Science 2018-02-19 Siddharth Srivastava , Nishant Desai , Richard Freedman , Shlomo Zilberstein

Motion planning of an autonomous system with high-level specifications has wide applications. However, research of formal languages involving timed temporal logic is still under investigation. Furthermore, many existing results rely on a…

Robotics · Computer Science 2022-02-15 Zhiliang Li , Mingyu Cai , Shaoping Xiao , Zhen Kan

We synthesize shared control protocols subject to probabilistic temporal logic specifications. More specifically, we develop a framework in which a human and an autonomy protocol can issue commands to carry out a certain task. We blend…

Robotics · Computer Science 2019-05-17 Murat Cubuktepe , Nils Jansen , Mohammed Alsiekh , Ufuk Topcu

In this paper, we consider a temporal logic planning problem in which the objective is to find an infinite trajectory that satisfies an optimal selection from a set of soft specifications expressed in linear temporal logic (LTL) while…

Robotics · Computer Science 2020-08-06 Hazhar Rahmani , Jason M. O'Kane

Mixed observable Markov decision processes (MOMDPs) are a modeling framework for autonomous systems described by both fully and partially observable states. In this work, we study the problem of synthesizing a control policy for MOMDPs that…

Systems and Control · Electrical Eng. & Systems 2021-03-03 Ugo Rosolia , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames

Several task and motion planning algorithms have been proposed recently to design paths for mobile robot teams with collaborative high-level missions specified using formal languages, such as Linear Temporal Logic (LTL). However, the…

Robotics · Computer Science 2023-10-03 Samarth Kalluraya , George J. Pappas , Yiannis Kantaros

This paper addresses the problem of learning optimal control policies for systems with uncertain dynamics and high-level control objectives specified as Linear Temporal Logic (LTL) formulas. Uncertainty is considered in the workspace…

Robotics · Computer Science 2024-10-17 Yiannis Kantaros , Jun Wang

This paper investigates continuous-time motion planning under Signal Temporal Logic (STL) specifications. The goal is to generate smooth robot trajectories that satisfy high-level logical and timing requirements while respecting low-level…

Robotics · Computer Science 2026-05-25 Yu Chen , Ancheng Hou , Mingyang Feng , Xiao Yu , Xiang Yin

This work considers the path planning problem for a team of identical robots evolving in a known environment. The robots should satisfy a global specification given as a Linear Temporal Logic (LTL) formula over a set of regions of interest.…

Robotics · Computer Science 2022-11-09 Sofia Hustiu , Cristian Mahulea , Marius Kloetzer , Jean-Jacques Lesage

Robust motion planning entails computing a global motion plan that is safe under all possible uncertainty realizations, be it in the system dynamics, the robot's initial position, or with respect to external disturbances. Current approaches…

Robotics · Computer Science 2022-11-02 Albert Wu , Thomas Lew , Kiril Solovey , Edward Schmerling , Marco Pavone

We address the problem of controlling a noisy differential drive mobile robot such that the probability of satisfying a specification given as a Bounded Linear Temporal Logic (BLTL) formula over a set of properties at the regions in the…

Robotics · Computer Science 2015-03-20 Igor Cizelj , Calin Belta

Motion planning classically concerns the problem of accomplishing a goal configuration while avoiding obstacles. However, the need for more sophisticated motion planning methodologies, taking temporal aspects into account, has emerged. To…

Systems and Control · Computer Science 2017-03-08 Lars Lindemann , Dimos V. Dimarogonas

Linear Temporal Logic (LTL) is a formal way of specifying complex objectives for planning problems modeled as Markov Decision Processes (MDPs). The planning problem aims to find the optimal policy that maximizes the satisfaction probability…

Robotics · Computer Science 2024-08-13 Zetong Xuan , Yu Wang

This work addresses the problem of multi-robot coordination under unknown robot transition models, ensuring that tasks specified by Time Window Temporal Logic are satisfied with user-defined probability thresholds. We present a bi-level…

Robotics · Computer Science 2025-02-17 Xiaoshan Lin , Roberto Tron

In this paper we present a method for automatically generating optimal robot trajectories satisfying high level mission specifications. The motion of the robot in the environment is modeled as a general transition system, enhanced with…

Robotics · Computer Science 2010-07-16 Stephen L. Smith , Jana Tumova , Calin Belta , Daniela Rus

Signal Temporal Logic (STL) is a formal language over continuous-time signals (such as trajectories of a multi-agent system) that allows for the specification of complex spatial and temporal system requirements (such as staying sufficiently…

Robotics · Computer Science 2023-10-17 Joris Verhagen , Lars Lindemann , Jana Tumova

We study feedback motion planning for continuous-time stochastic nonlinear systems under signal temporal logic (STL) specifications. We propose a framework that synthesizes control policies for chance-constrained STL trajectory optimization…

Robotics · Computer Science 2026-05-05 Liqian Ma , Zishun Liu , Glen Chou , Yongxin Chen