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This study proposes a novel planning framework based on a model predictive control formulation that incorporates signal temporal logic (STL) specifications for task completion guarantees and robustness quantification. This marks the…

Robotics · Computer Science 2023-09-26 Zhaoyuan Gu , Rongming Guo , William Yates , Yipu Chen , Ye Zhao

Tasks with complex temporal structures and long horizons pose a challenge for reinforcement learning agents due to the difficulty in specifying the tasks in terms of reward functions as well as large variances in the learning signals. We…

Artificial Intelligence · Computer Science 2018-09-27 Xiao Li , Yao Ma , Calin Belta

We propose a framework that can incrementally expand the explanatory temporal logic rule set to explain the occurrence of temporal events. Leveraging the temporal point process modeling and learning framework, the rule content and weights…

Machine Learning · Computer Science 2023-08-14 Chao Yang , Lu Wang , Kun Gao , Shuang Li

We study the problem of policy optimization (PO) with linear temporal logic (LTL) constraints. The language of LTL allows flexible description of tasks that may be unnatural to encode as a scalar cost function. We consider LTL-constrained…

Machine Learning · Computer Science 2022-10-21 Cameron Voloshin , Hoang M. Le , Swarat Chaudhuri , Yisong Yue

Formulating the intended behavior of a dynamic system can be challenging. Signal temporal logic (STL) is frequently used for this purpose due to its suitability in formalizing comprehensible, modular, and versatile spatiotemporal…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Patrick Halder , Hannes Homburger , Lothar Kiltz , Johannes Reuter , Matthias Althoff

Signal Temporal Logic (STL) is an expressive formal language for specifying spatio-temporal requirements over real-valued, real-time signals. It has been widely used for the verification and synthesis of autonomous systems and…

Artificial Intelligence · Computer Science 2026-05-12 Bowen Ye , Zhijian Li , Junyue Huang , Junkai Ma , Xiang Yin

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

Signal Temporal Logic (STL) provides a powerful framework to describe complex tasks involving temporal and logical behavior in dynamical systems. This work addresses controller synthesis for continuous-time systems subject to STL…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Vaishnavi Jagabathula , Pushpak Jagtap

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

This paper addresses the problem of learning optimal policies for satisfying signal temporal logic (STL) specifications by agents with unknown stochastic dynamics. The system is modeled as a Markov decision process, in which the states…

Systems and Control · Computer Science 2016-09-26 Derya Aksaray , Austin Jones , Zhaodan Kong , Mac Schwager , Calin Belta

Model-free continuous control for robot navigation tasks using Deep Reinforcement Learning (DRL) that relies on noisy policies for exploration is sensitive to the density of rewards. In practice, robots are usually deployed in cluttered…

Robotics · Computer Science 2023-02-24 Mingyu Cai , Erfan Aasi , Calin Belta , Cristian-Ioan Vasile

Reinforcement Learning (RL) based methods have been increasingly explored for robot learning. However, RL based methods often suffer from low sampling efficiency in the exploration phase, especially for long-horizon manipulation tasks, and…

Robotics · Computer Science 2024-12-31 Hao Zhang , Hao Wang , Xiucai Huang , Wenrui Chen , Zhen Kan

In this paper, we propose a model-free reinforcement learning method to synthesize control policies for motion planning problems with continuous states and actions. The robot is modelled as a labeled discrete-time Markov decision process…

Artificial Intelligence · Computer Science 2020-10-01 Chuanzheng Wang , Yinan Li , Stephen L. Smith , Jun Liu

We present a method to generate a robot control strategy that maximizes the probability to accomplish a task. The task is given as a Linear Temporal Logic (LTL) formula over a set of properties that can be satisfied at the regions of a…

Optimization and Control · Mathematics 2015-03-19 Xu Chu Ding , Stephen L. Smith , Calin Belta , Daniela Rus

We introduce a sampling-based learning method for solving optimal control problems involving task satisfaction constraints for systems with partially known dynamics. The control problems are defined by a cost to be minimized and a task to…

Systems and Control · Electrical Eng. & Systems 2020-04-14 Peter Varnai , Dimos V. Dimarogonas

Linear temporal logic (LTL) is a compelling framework for specifying complex, structured tasks for reinforcement learning (RL) agents. Recent work has shown that interpreting LTL instructions as finite automata, which can be seen as…

Artificial Intelligence · Computer Science 2025-12-03 Mattia Giuri , Mathias Jackermeier , Alessandro Abate

Real-time and human-interpretable decision-making in cyber-physical systems is a significant but challenging task, which usually requires predictions of possible future events from limited data. In this paper, we introduce a…

Machine Learning · Computer Science 2021-12-30 Erfan Aasi , Mingyu Cai , Cristian Ioan Vasile , Calin Belta

This paper addresses the problem of designing control policies for agents with unknown stochastic dynamics and control objectives specified using Linear Temporal Logic (LTL). Recent Deep Reinforcement Learning (DRL) algorithms have aimed to…

Robotics · Computer Science 2025-04-23 Jun Wang , Hosein Hasanbeig , Kaiyuan Tan , Zihe Sun , Yiannis Kantaros

There has been substantial progress in the inference of formal behavioural specifications from sample trajectories, for example, using Linear Temporal Logic (LTL). However, these techniques cannot handle specifications that correctly…

Logic in Computer Science · Computer Science 2025-05-20 Rajarshi Roy , Yash Pote , David Parker , Marta Kwiatkowska

This paper studies the control synthesis of motion planning subject to uncertainties. The uncertainties are considered in robot motions and environment properties, giving rise to the probabilistic labeled Markov decision process (PL-MDP). A…

Robotics · Computer Science 2023-01-31 Mingyu Cai , Shaoping Xiao , Zhijun Li , Zhen Kan