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In this paper, we study spline trajectory generation via the solution of two optimisation problems: (i) a quadratic program (QP) with linear equality constraints and (ii) a nonlinear and nonconvex optimisation program. We propose an…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Declan Burke , Airlie Chapman , Iman Shames

In this paper we propose a technique that assigns obstacles to clusters used for collision avoidance via Mixed-Integer Programming. This strategy enables a reduction in the number of binary variables used for collision avoidance, thus…

Systems and Control · Electrical Eng. & Systems 2020-09-17 Vinicius Antonio Battagello , Nei Yoshihiro Soma , Rubens Junqueira Magalhaes Afonso

Visual navigation is fundamental to autonomous systems, yet generating reliable trajectories in cluttered and uncertain environments remains a core challenge. Recent generative models promise end-to-end synthesis, but their reliance on…

Robotics · Computer Science 2026-02-04 Xubo Luo , Aodi Wu , Haodong Han , Xue Wan , Wei Zhang , Leizheng Shu , Ruisuo Wang

For aerial swarms, navigation in a prescribed formation is widely practiced in various scenarios. However, the associated planning strategies typically lack the capability of avoiding obstacles in cluttered environments. To address this…

Robotics · Computer Science 2022-04-22 Lun Quan , Longji Yin , Chao Xu , Fei Gao

We consider deterministic finite-horizon optimal control problems with a fixed initial state. We introduce an on-line policy iteration method, which, starting from a given policy, however obtained, generates a sequence of cost-improving…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Yuchao Li , Fei Chen , Yingke Li , Chuchu Fan , Dimitri Bertsekas

Safe autonomous driving critically depends on how well the ego-vehicle can predict the trajectories of neighboring vehicles. To this end, several trajectory prediction algorithms have been presented in the existing literature. Many of these…

Robotics · Computer Science 2023-10-13 Basant Sharma , Aditya Sharma , K. Madhava Krishna , Arun Kumar Singh

Accurate long series forecasting of traffic information is critical for the development of intelligent traffic systems. We may benefit from the rapid growth of neural network analysis technology to better understand the underlying…

Machine Learning · Computer Science 2022-10-06 Ruikang Luo , Yaofeng Song , Liping Huang , Yicheng Zhang , Rong Su

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

Self-driving vehicles rely on sensory input to monitor their surroundings and continuously adapt to the most likely future road course. Predictive trajectory planning is based on snapshots of the (uncertain) road course as a key input.…

Robotics · Computer Science 2025-09-24 Benjamin Bogenberger , Johannes Bürger , Vladislav Nenchev

Multi-vehicle trajectory planning is a non-convex problem that becomes increasingly difficult in dense environments due to the rapid growth of collision constraints. Efficient exploration of feasible behaviors and resolution of tight…

Robotics · Computer Science 2025-09-22 Heye Huang , Yibin Yang , Wang Chen , Tiantian Chen , Xiaopeng Li , Sikai Chen

In this paper, we present a novel approach to efficiently generate collision-free optimal trajectories for multiple non-holonomic mobile robots in obstacle-rich environments. Our approach first employs a graph-based multi-agent path planner…

Robotics · Computer Science 2021-01-29 Juncheng Li , Maopeng Ran , Lihua Xie

Preliminary trajectory design is a global search problem that seeks multiple qualitatively different solutions to a trajectory optimization problem. Due to its high dimensionality and non-convexity, and the frequent adjustment of problem…

Machine Learning · Computer Science 2023-08-09 Anjian Li , Amlan Sinha , Ryne Beeson

This paper presents a novel methodology that uses surrogate models in the form of neural networks to reduce the computation time of simulation-based optimization of a reference trajectory. Simulation-based optimization is necessary when…

Optimization and Control · Mathematics 2023-03-31 Evelyn Ruff , Rebecca Russell , Matthew Stoeckle , Piero Miotto , Jonathan P. How

Stochastic simulators are increasingly used to expand the frontier of scientific knowledge and inform decision-making across real-world contexts. Simulator calibration, a process by which internal model inputs are tuned to match some…

Computation · Statistics 2026-05-25 David O'Gara , Arindam Fadikar , Mickaël Binois , Nicholson Collier , Jonathan Ozik

Path finding is a well-studied problem in AI, which is often framed as graph search. Any-angle path finding is a technique that augments the initial graph with additional edges to build shorter paths to the goal. Indeed, optimal algorithms…

Artificial Intelligence · Computer Science 2021-04-15 Konstantin Yakovlev , Anton Andreychuk

This study deals with the problem of task and motion planning of autonomous systems within the context of high-level tasks. Specifically, a task comprises logical requirements (conjunctions, disjunctions, and negations) on the trajectories…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Zhou He , Shilong Yuan , Ning Ran , Dimitri Lefebvre

We present an optimization-based motion planning algorithm to compute a smooth, collision-free trajectory for a manipulator used to transfer a liquid from a source to a target container. We take into account fluid dynamics constraints as…

Robotics · Computer Science 2016-03-09 Zherong Pan , Dinesh Manocha

Hard-constraint trajectory planners often rely on commercial solvers and demand substantial computational resources. Existing soft-constraint methods achieve faster computation, but either (1) decouple spatial and temporal optimization or…

Robotics · Computer Science 2026-03-27 Kota Kondo , Yuwei Wu , Vijay Kumar , Jonathan P. How

Increasing and massive volumes of trajectory data are being accumulated that may serve a variety of applications, such as mining popular routes or identifying ridesharing candidates. As storing and querying massive trajectory data is…

Databases · Computer Science 2023-12-14 Zheng Wang , Cheng Long , Gao Cong , Christian S. Jensen

Path planning in robotics often requires finding high-quality solutions to continuously valued and/or high-dimensional problems. These problems are challenging and most planning algorithms instead solve simplified approximations. Popular…

Robotics · Computer Science 2020-04-20 Jonathan D. Gammell , Timothy D. Barfoot , Siddhartha S. Srinivasa
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