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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

This paper studies optimal motion planning subject to motion and environment uncertainties. By modeling the system as a probabilistic labeled Markov decision process (PL-MDP), the control objective is to synthesize a finite-memory policy,…

Robotics · Computer Science 2022-01-03 Mingyu Cai , Shaoping Xiao , Zhijun Li , Zhen Kan

This paper investigates the motion planning of autonomous dynamical systems modeled by Markov decision processes (MDP) with unknown transition probabilities over continuous state and action spaces. Linear temporal logic (LTL) is used to…

Machine Learning · Computer Science 2022-01-25 Mingyu Cai , Mohammadhosein Hasanbeig , Shaoping Xiao , Alessandro Abate , Zhen Kan

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

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

Designing robotic agents to perform open vocabulary tasks has been the long-standing goal in robotics and AI. Recently, Large Language Models (LLMs) have achieved impressive results in creating robotic agents for performing open vocabulary…

We present a model-free reinforcement learning algorithm to find an optimal policy for a finite-horizon Markov decision process while guaranteeing a desired lower bound on the probability of satisfying a signal temporal logic (STL)…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

Planning plays an important role in the broad class of decision theory. Planning has drawn much attention in recent work in the robotics and sequential decision making areas. Recently, Reinforcement Learning (RL), as an agent-environment…

Artificial Intelligence · Computer Science 2016-08-18 Kamyar Azizzadenesheli , Alessandro Lazaric , Animashree Anandkumar

Robotic systems operating in dynamic and uncertain environments increasingly require planners that satisfy complex task sequences while adhering to strict temporal constraints. Metric Interval Temporal Logic (MITL) offers a formal and…

Robotics · Computer Science 2026-01-05 Zhaoan Wang , Junchao Li , Mahdi Mohammad , Shaoping Xiao

Autonomous agents often operate in scenarios where the state is partially observed. In addition to maximizing their cumulative reward, agents must execute complex tasks with rich temporal and logical structures. These tasks can be expressed…

Systems and Control · Electrical Eng. & Systems 2022-03-18 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

Autonomous agents are limited in their ability to observe the world state. Partially observable Markov decision processes (POMDPs) formally model the problem of planning under world state uncertainty, but POMDPs with continuous actions and…

Robotics · Computer Science 2020-07-08 Dicong Qiu , Yibiao Zhao , Chris L. Baker

This paper addresses the online motion planning problem of mobile robots under complex high-level tasks. The robot motion is modeled as an uncertain Markov Decision Process (MDP) due to limited initial knowledge, while the task is specified…

Robotics · Computer Science 2023-02-13 Yuyang Zhang , Meng Guo

This paper addresses the problem of learning control policies for mobile robots, modeled as unknown Markov Decision Processes (MDPs), that are tasked with temporal logic missions, such as sequencing, coverage, or surveillance. The MDP…

Robotics · Computer Science 2022-07-13 Yiannis Kantaros

This work studies the planning problem for robotic systems under both quantifiable and unquantifiable uncertainty. The objective is to enable the robotic systems to optimally fulfill high-level tasks specified by Linear Temporal Logic (LTL)…

Robotics · Computer Science 2025-02-28 Pian Yu , Yong Li , David Parker , Marta Kwiatkowska

This paper proposes a reinforcement learning method for controller synthesis of autonomous systems in unknown and partially-observable environments with subjective time-dependent safety constraints. Mathematically, we model the system…

Robotics · Computer Science 2021-04-06 Yu Wang , Alper Kamil Bozkurt , Miroslav Pajic

We propose a novel model-based reinforcement learning algorithm -- Dynamics Learning and predictive control with Parameterized Actions (DLPA) -- for Parameterized Action Markov Decision Processes (PAMDPs). The agent learns a…

Machine Learning · Computer Science 2024-05-27 Renhao Zhang , Haotian Fu , Yilin Miao , George Konidaris

Optimal decision-making presents a significant challenge for autonomous systems operating in uncertain, stochastic and time-varying environments. Environmental variability over time can significantly impact the system's optimal decision…

Robotics · Computer Science 2024-03-11 Gokul Puthumanaillam , Xiangyu Liu , Negar Mehr , Melkior Ornik

Reinforcement Learning (RL) has emerged as an efficient method of choice for solving complex sequential decision making problems in automatic control, computer science, economics, and biology. In this paper we present a model-free RL…

Logic in Computer Science · Computer Science 2019-09-13 Mohammadhosein Hasanbeig , Yiannis Kantaros , Alessandro Abate , Daniel Kroening , George J. Pappas , Insup Lee

Partially Observable Markov Decision Processes (POMDPs) model decision making under uncertainty. While there are many approaches to approximately solving POMDPs, we aim to address the problem of learning such models. In particular, we are…

Artificial Intelligence · Computer Science 2025-05-13 Aidan Curtis , Hao Tang , Thiago Veloso , Kevin Ellis , Joshua Tenenbaum , Tomás Lozano-Pérez , Leslie Pack Kaelbling

Autonomous systems are often required to operate in partially observable environments. They must reliably execute a specified objective even with incomplete information about the state of the environment. We propose a methodology to…

Artificial Intelligence · Computer Science 2020-01-14 Maxime Bouton , Jana Tumova , Mykel J. Kochenderfer
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