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This paper focuses on spatial time-optimal motion planning, a generalization of the exact time-optimal path following problem that allows the system to plan within a predefined space. In contrast to state-of-the-art methods, we drop the…

Robotics · Computer Science 2023-07-18 Jon Arrizabalaga , Markus Ryll

Stochastic Optimal Control (SOC) problems arise in systems influenced by uncertainty, such as autonomous robots or financial models. Traditional methods like dynamic programming are often intractable for high-dimensional, nonlinear systems…

Optimization and Control · Mathematics 2025-04-25 Apurva Patil

In this paper, we propose an efficient and accurate method for autonomous surface vehicles to generate a smooth and collision-free trajectory considering its dynamics constraints. We decouple the trajectory planning problem as a front-end…

Robotics · Computer Science 2020-10-02 Licheng Wen , Jiaqing Yan , Xuemeng Yang , Yong Liu , Yong Gu

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

Modeling the interaction between traffic agents is a key issue in designing safe and non-conservative maneuvers in autonomous driving. This problem can be challenging when multi-modality and behavioral uncertainties are engaged. Existing…

Robotics · Computer Science 2024-09-24 Zhenmin Huang , Tong Li , Shaojie Shen , Jun Ma

We present a safe-by-design approach to path planning and control for nonlinear systems. The planner uses a low fidelity model of the plant to compute reference trajectories by solving an MPC problem, while the plant being controlled…

Systems and Control · Electrical Eng. & Systems 2019-10-03 He Yin , Monimoy Bujarbaruah , Murat Arcak , Andrew Packard

In this paper, we provide a decentralized theoretical framework for coordination of connected and automated vehicles (CAVs) at different traffic scenarios. The framework includes: (1) an upper-level optimization that yields for each CAV its…

Optimization and Control · Mathematics 2021-07-14 Andreas A. Malikopoulos , Logan E. Beaver , Ioannis Vasileios Chremos

In this article, we discuss two algorithms tailored to discrete-time deterministic finite-horizon nonlinear optimal control problems or so-called deterministic trajectory optimization problems. Both algorithms can be derived from an…

Optimization and Control · Mathematics 2024-12-10 Mohammad Mahmoudi Filabadi , Tom Lefebvre , Guillaume Crevecoeur

This paper presents a novel trajectory planning pipeline for complex driving scenarios like autonomous lane changing, by integrating risk-aware planning with guaranteed collision avoidance into a unified optimization framework. We first…

Robotics · Computer Science 2026-03-09 Yijun Lu , Zhihao Lin , Zhen Tian

Autonomous driving technology is rapidly evolving and becoming a pivotal element of modern automation systems. Effective decision-making and planning are essential to ensuring autonomous vehicles operate safely and efficiently in complex…

Robotics · Computer Science 2024-11-12 Zhicheng Zhang

For real applications of unmanned aerial vehicles, the capability of navigating with full autonomy in unknown environments is a crucial requirement. However, planning a shorter path with less computing time is contradictory. To address this…

Robotics · Computer Science 2021-10-22 Han Chen , Shengyang Chen , Peng Lu , Chih-Yung Wen

Standard Model Predictive Control (MPC) or trajectory optimization approaches perform only a local search to solve a complex non-convex optimization problem. As a result, they cannot capture the multi-modal characteristic of human driving.…

Robotics · Computer Science 2022-03-16 Vivek K. Adajania , Aditya Sharma , Anish Gupta , Houman Masnavi , K Madhava Krishna , Arun K. Singh

Existing motion planning methods often have two drawbacks: 1) goal configurations need to be specified by a user, and 2) only a single solution is generated under a given condition. In practice, multiple possible goal configurations exist…

Robotics · Computer Science 2020-09-24 Takayuki Osa

We consider warm-started optimized trajectory planning for autonomous surface vehicles (ASVs) by combining the advantages of two types of planners: an A* implementation that quickly finds the shortest piecewise linear path, and an optimal…

Systems and Control · Electrical Eng. & Systems 2019-07-08 Glenn Bitar , Vegard N. Vestad , Anastasios M. Lekkas , Morten Breivik

Path planning is critical for autonomous vehicles (AVs) to determine the optimal route while considering constraints and objectives. The potential field (PF) approach has become prevalent in path planning due to its simple structure and…

Robotics · Computer Science 2023-06-13 Pengfei Lin , Ehsan Javanmardi , Jin Nakazato , Manabu Tsukada

Metaheuristic algorithms have gained widespread application across various fields owing to their ability to generate diverse solutions. One such algorithm is the Snake Optimizer (SO), a progressive optimization approach. However, SO suffers…

Robotics · Computer Science 2025-08-14 Genliang Li , Yaxin Cui , Jinyu Su

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

This paper presents a noval method that generates optimal trajectories for autonomous vehicles for in-lane driving scenarios. The method computes a trajectory using a two-phase optimization procedure. In the first phase, the optimization…

Robotics · Computer Science 2021-12-07 Yajia Zhang , Hongyi Sun , Jinyun Zhou , Jiangtao Hu , Jinghao Miao

For real-time multirotor kinodynamic motion planning, the efficiency of sampling-based methods is usually hindered by difficult-to-sample homotopy classes like narrow passages. In this paper, we address this issue by a hybrid scheme. We…

Robotics · Computer Science 2021-03-10 Hongkai Ye , Tianyu Liu , Chao Xu , Fei Gao

For multi-limbed robots, motion planning with posture and force constraints tends to be a difficult optimization problem due to nonlinearities, which also present extended solve times. We propose a multi-stage optimization framework with…

Robotics · Computer Science 2021-09-15 Xuan Lin , Min Sung Ahn , Dennis Hong
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