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In this paper the computational challenges of time-optimal path following are addressed. The standard approach is to minimize the travel time, which inevitably leads to singularities at zero path speed, when reformulating the optimization…

Robotics · Computer Science 2025-10-24 Tobias Marauli , Hubert Gattringer , Andreas Mueller

In this paper, we develop approximate dynamic programming methods for stochastic systems modeled as Markov Decision Processes, given both soft performance criteria and hard constraints in a class of probabilistic temporal logic called…

Optimization and Control · Mathematics 2018-10-08 Lening Li , Jie Fu

We propose an automata-theoretic approach for reinforcement learning (RL) under complex spatio-temporal constraints with time windows. The problem is formulated using a Markov decision process under a bounded temporal logic constraint.…

Artificial Intelligence · Computer Science 2023-08-01 Xiaoshan Lin , Abbasali Koochakzadeh , Yasin Yazicioglu , Derya Aksaray

To operate with limited sensor horizons in unpredictable environments, autonomous robots use a receding-horizon strategy to plan trajectories, wherein they execute a short plan while creating the next plan. However, creating safe,…

Robotics · Computer Science 2020-04-24 Shreyas Kousik , Sean Vaskov , Fan Bu , Matthew Johnson-Roberson , Ram Vasudevan

Autonomous robotic systems require advanced control frameworks to achieve complex temporal objectives that extend beyond conventional stability and trajectory tracking. Signal Temporal Logic (STL) provides a formal framework for specifying…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Kazunobu Serizawa , Kazumune Hashimoto , Wataru Hashimoto , Masako Kishida , Shigemasa Takai

This paper presents a motion planning and risk analysis framework for enhancing human-robot collaboration with a Multi-Rotor Aerial Vehicle. The proposed method employs Signal Temporal Logic to encode key mission objectives, including…

Robotics · Computer Science 2026-05-13 Giuseppe Silano , Amr Afifi , Martin Saska , Antonio Franchi

The deployment of autonomous systems in uncertain and dynamic environments has raised fundamental questions. Addressing these is pivotal to build fully autonomous systems and requires a systematic integration of planning and control. We…

Systems and Control · Electrical Eng. & Systems 2021-09-08 Lars Lindemann , George J. Pappas , Dimos V. Dimarogonas

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

Contact-based decision and planning methods are becoming increasingly important to endow higher levels of autonomy for legged robots. Formal synthesis methods derived from symbolic systems have great potential for reasoning about high-level…

Robotics · Computer Science 2022-01-04 Ye Zhao , Yinan Li , Luis Sentis , Ufuk Topcu , Jun Liu

We introduce a metric that can quantify the temporal relaxation of Signal Temporal Logic (STL) specifications and facilitate resilient control synthesis in the face of infeasibilities. The proposed metric quantifies a cumulative notion of…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Ali Tevfik Buyukkocak , Derya Aksaray

In this paper, we develop safe reinforcement-learning-based controllers for systems tasked with accomplishing complex missions that can be expressed as linear temporal logic specifications, similar to those required by search-and-rescue…

Systems and Control · Electrical Eng. & Systems 2022-03-30 Aris Kanellopoulos , Filippos Fotiadis , Chuangchuang Sun , Zhe Xu , Kyriakos G. Vamvoudakis , Ufuk Topcu , Warren E. Dixon

Signal temporal logic (STL) provides a powerful, flexible framework for specifying complex autonomy tasks; however, existing methods for planning based on STL specifications have difficulty scaling to long-horizon tasks and are not robust…

Robotics · Computer Science 2022-03-07 Charles Dawson , Chuchu Fan

This study investigates formal-method-based trajectory optimization (TO) for bipedal locomotion, focusing on scenarios where the robot encounters external perturbations at unforeseen times. Our key research question centers around the…

Robotics · Computer Science 2023-10-18 Zhaoyuan Gu , Rongming Guo , William Yates , Yipu Chen , Ye Zhao

In this paper, we consider teams of robots with heterogeneous skills (e.g., sensing and manipulation) tasked with collaborative missions described by Linear Temporal Logic (LTL) formulas. These LTL-encoded tasks require robots to apply…

Robotics · Computer Science 2025-04-18 Samarth Kalluraya , Beichen Zhou , Yiannis Kantaros

Industrial robotics demands significant energy to operate, making energy-reduction methodologies increasingly important. Strategies for planning minimum-energy trajectories typically involve solving nonlinear optimal control problems…

Robotics · Computer Science 2025-01-17 Domenico Dona' , Giovanni Franzese , Cosimo Della Santina , Paolo Boscariol , Basilio Lenzo

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

Linear temporal logic (LTL) offers a simplified way of specifying tasks for policy optimization that may otherwise be difficult to describe with scalar reward functions. However, the standard RL framework can be too myopic to find maximally…

Machine Learning · Computer Science 2023-03-06 Cameron Voloshin , Abhinav Verma , Yisong Yue

This paper addresses the problem of temporal logic motion planning for an autonomous robot operating in an unknown environment. The objective is to enable the robot to satisfy a syntactically co-safe Linear Temporal Logic (scLTL)…

Robotics · Computer Science 2026-02-24 Azizollah Taheri , Derya Aksaray

This paper aims to increase the safety and reliability of executing trajectories planned for robots with non-trivial dynamics given a light-weight, approximate dynamics model. Scenarios include mobile robots navigating through workspaces…

This study presents a dynamic safety margin-based reinforcement learning framework for local motion planning in dynamic and uncertain environments. The proposed planner integrates real-time trajectory optimization with adaptive gap…

Robotics · Computer Science 2025-05-20 Tengfei Liu , Haoyang Zhong , Jiazheng Hu , Tan Zhang