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The classical setting of optimal control theory assumes full knowledge of the process dynamics and the costs associated with every control strategy. The problem becomes much harder if the controller only knows a finite set of possible…

Optimization and Control · Mathematics 2019-08-27 Marc Aurèle Gilles , Alexander Vladimirsky

Heterogeneous multi-robot systems are advantageous for operations in unknown environments because functionally specialised robots can gather environmental information, while others perform tasks. We define this decomposition as the…

Robotic exploration of unknown environments is fundamentally a problem of decision making under uncertainty where the robot must account for uncertainty in sensor measurements, localization, action execution, as well as many other factors.…

With much research has been conducted into trajectory planning for quadrotors, planning with spatial and temporal optimal trajectories in real-time is still challenging. In this paper, we propose a framework for generating large-scale…

Robotics · Computer Science 2020-02-26 Zhepei Wang , Xin Zhou , Chao Xu , Jian Chu , Fei Gao

This paper addresses a central challenge of jointly considering shorter-term (e.g. hourly) and longer-term (e.g. yearly) uncertainties in power system planning with increasing penetration of renewable and storage resources. In conventional…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Chao Yan , Xinbo Geng , Zhaohong Bie , Le Xie

This paper develops a fast numerical dual control for exploration and exploitation (DCEE) method to address auto-optimization problems in unknown environments. In auto-optimization problems, the optimal operating condition is unknown a…

Robotics · Computer Science 2026-05-22 Shiying Dong , Haoyang Yang , Qiwei Liu , Wen-Hua Chen

We propose a reinforcement learning framework for discrete environments in which an agent makes both strategic and tactical decisions. The former manifests itself through the use of value function, while the latter is powered by a tree…

Machine Learning · Computer Science 2020-03-05 Piotr Miłoś , Łukasz Kuciński , Konrad Czechowski , Piotr Kozakowski , Maciek Klimek

In this paper, we address the trajectory planning problem in uncertain nonconvex static and dynamic environments that contain obstacles with probabilistic location, size, and geometry. To address this problem, we provide a risk bounded…

Robotics · Computer Science 2021-06-11 Ashkan Jasour , Weiqiao Han , Brian Williams

Gaussian Processes (GPs) are widely employed in control and learning because of their principled treatment of uncertainty. However, tracking uncertainty for iterative, multi-step predictions in general leads to an analytically intractable…

Mobile robots, becoming increasingly autonomous, are capable of operating in diverse and unknown environments. This flexibility allows them to fulfill goals independently and adapting their actions dynamically without rigidly predefined…

In environments with uncertain dynamics exploration is necessary to learn how to perform well. Existing reinforcement learning algorithms provide strong exploration guarantees, but they tend to rely on an ergodicity assumption. The essence…

Machine Learning · Computer Science 2012-07-10 Teodor Mihai Moldovan , Pieter Abbeel

In this paper, we address the real-time risk-bounded safety verification problem of continuous-time state trajectories of autonomous systems in the presence of uncertain time-varying nonlinear safety constraints. Risk is defined as the…

Robotics · Computer Science 2021-10-04 Ashkan Jasour , Weiqiao Han , Brian Williams

Trajectory optimization is a fundamental problem in robotics. While optimization of continuous control trajectories is well developed, many applications require both discrete and continuous, i.e., hybrid, controls. Finding an optimal…

Robotics · Computer Science 2017-03-03 Joni Pajarinen , Ville Kyrki , Michael Koval , Siddhartha Srinivasa , Jan Peters , Gerhard Neumann

Ensuring safety is crucial to promote the application of robot manipulators in open workspaces. Factors such as sensor errors or unpredictable collisions make the environment full of uncertainties. In this work, we investigate these…

Robotics · Computer Science 2025-04-01 Xinyu Jia , Wenxin Wang , Jun Yang , Yongping Pan , Haoyong Yu

We develop a probabilistic framework for \emph{rendezvous planning}: given sparse, noisy observations of a fast-moving target, plan rendezvous spatiotemporal coordinates for a set of significantly slower seeking agents. The unknown target…

Optimization and Control · Mathematics 2026-04-03 Thomas A. Scott , Lukas Taus , Yen-Hsi Richard Tsai , Tan Bui-Thanh , Justin G. R. Delva

It is a challenging task for ground robots to autonomously navigate in harsh environments due to the presence of non-trivial obstacles and uneven terrain. This requires trajectory planning that balances safety and efficiency. The primary…

Robotics · Computer Science 2025-08-12 Wei Zhang , Yinchuan Wang , Wangtao Lu , Pengyu Zhang , Xiang Zhang , Yue Wang , Chaoqun Wang

A significant problem in designing mobile robot control systems involves coping with the uncertainty that arises in moving about in an unknown or partially unknown environment and relying on noisy or ambiguous sensor data to acquire…

Artificial Intelligence · Computer Science 2013-04-05 K. Bayse , M. Lejter , Keiji Kanazawa

Navigating mobile robots through environments shared with humans is challenging. From the perspective of the robot, humans are dynamic obstacles that must be avoided. These obstacles make the collision-free space nonconvex, which leads to…

Robotics · Computer Science 2023-03-15 O. de Groot , L. Ferranti , D. Gavrila , J. Alonso-Mora

This paper addresses the problem of maintaining safety during training in Reinforcement Learning (RL), such that the safety constraint violations are bounded at any point during learning. In a variety of RL applications the safety of the…

Machine Learning · Computer Science 2023-12-19 Rohan Mitta , Hosein Hasanbeig , Jun Wang , Daniel Kroening , Yiannis Kantaros , Alessandro Abate

Designing controllers under uncertainty requires balancing the need to explore system dynamics with the requirement to maintain reliable control performance. Dual control addresses this challenge by selecting actions that both regulate the…

Optimization and Control · Mathematics 2025-12-18 Mohammad Mahmoudi Filabadi , Guillaume Crevecoeur , Tom Lefebvre
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