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Trained humans exhibit highly agile spatial skills, enabling them to operate vehicles with complex dynamics in demanding tasks and conditions. Prior work shows that humans achieve this performance by using strategies such as satisficing,…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Andrew Feit , Bérénice Mettler

In this paper we present a method for automatically generating optimal robot trajectories satisfying high level mission specifications. The motion of the robot in the environment is modeled as a general transition system, enhanced with…

Robotics · Computer Science 2010-07-16 Stephen L. Smith , Jana Tumova , Calin Belta , Daniela Rus

Unlike squared (or alike) quadrotors, elongated bi-copters leverage natural superiority in crossing tight spaces. To date, extensive works have focused on the design, modeling, and control of bi-copters. Besides, a proper motion planner…

Robotics · Computer Science 2024-06-04 Xin Dong , Yangjie Cui , Jingwu Xiang , Daochun Li , Zhan Tu

We present a method for path optimization for ground vehicles in off-road environments at high speeds. This path optimization considers the kinematic constraints of the vehicle. By thinking in the actuator space we can represent these…

Robotics · Computer Science 2021-01-05 Timothy Overbye , Srikanth Saripalli

This paper proposes a fast and accurate trajectory planning algorithm for autonomous parking. Nominally, an optimal control problem should be formulated to describe this scheme, but the dimensionality of the optimal control problem is…

Robotics · Computer Science 2021-02-04 Bai Li , Tankut Acarman , Qi Kong , Youmin Zhang

For industrial product design, it is very important to take into account assembly/disassembly and maintenance operations during the conceptual and prototype design stage. For these operations or other similar operations in a constrained…

Robotics · Computer Science 2010-12-21 Liang Ma , Ruina Ma , Damien Chablat , Fouad Bennis

This paper focuses on robustness to disturbance forces and uncertain payloads. We present a novel formulation to optimize the robustness of dynamic trajectories. A straightforward transcription of this formulation into a nonlinear…

Robotics · Computer Science 2020-08-04 Henrique Ferrolho , Wolfgang Merkt , Vladimir Ivan , Wouter Wolfslag , Sethu Vijayakumar

Solving optimal control problems (OCPs) of autonomous agents operating under spatial and temporal constraints fast and accurately is essential in applications ranging from eco-driving of autonomous vehicles to quadrotor navigation. However,…

Robotics · Computer Science 2026-01-07 Shiying Dong , Zhipeng Shen , Rudolf Reiter , Hailong Huang , Bingzhao Gao , Hong Chen , Wen-Hua Chen

In drone racing, the time-minimum trajectory is affected by the drone's capabilities, the layout of the race track, and the configurations of the gates (e.g., their shapes and sizes). However, previous studies neglect the configuration of…

Robotics · Computer Science 2024-05-07 Chao Qin , Maxime S. J. Michet , Jingxiang Chen , Hugh H. -T. Liu

This paper presents and proves an equation for the time horizon of symmetric trajectories with zero boundary conditions and bounded derivatives of arbitrary order. This equation holds regardless of the number of phases comprising the…

Optimization and Control · Mathematics 2026-02-05 Rico Zöllner

Efficient trajectory optimization is essential for avoiding collisions in unstructured environments, but it remains challenging to have both speed and quality in the solutions. One reason is that second-order optimality requires calculating…

Robotics · Computer Science 2021-11-04 Changhao Wang , Jeffrey Bingham , Masayoshi Tomizuka

Efficient trajectory planning for urban intersections is currently one of the most challenging tasks for an Autonomous Vehicle (AV). Courteous behavior towards other traffic participants, the AV's comfort and its progression in the…

Robotics · Computer Science 2020-10-08 Oliver Speidel , Maximilian Graf , Ankit Kaushik , Thanh Phan-Huu , Andreas Wedel , Klaus Dietmayer

In the racetrack acceleration model, proposed by Martin Gardner in 1973, each step consists of changing the position of the vehicle by a vector in $\mathbb{Z}^2$, with the constraints that two consecutive vectors differ by at most one unit…

Computational Geometry · Computer Science 2026-02-26 Arnaud Casteigts , Matteo De Francesco , Pierre Leone

Moment optimization techniques have been recently proposed to solve globally various classes of optimal control problems. As those methods return truncated moment sequences of occupation measures, this paper explores a numeric method for…

Optimization and Control · Mathematics 2014-04-17 Mathieu Claeys

Various studies on perception-aware planning have been proposed to enhance the state estimation accuracy of quadrotors in visually degraded environments. However, many existing methods heavily rely on prior environmental knowledge and face…

Robotics · Computer Science 2025-07-31 Chenxin Yu , Zihong Lu , Jie Mei , Boyu Zhou

This paper presents a triple optimization algorithm of two-dimensional space, driving path and driving speed, and iterates in the time dimension to obtain the local optimal solution of path and speed in the optimal driving area. Design…

Robotics · Computer Science 2024-07-17 Yang Yinyang , Wang Chanchan

Autonomous terrain traversal of articulated tracked robots can reduce operator cognitive load to enhance task efficiency and facilitate extensive deployment. We present a novel hybrid trajectory optimization method aimed at generating…

Robotics · Computer Science 2023-11-27 Zhengzhe Xu , Yanbo Chen , Zhuozhu Jian , Junbo Tan , Xueqian Wang , Bin Liang

Quadrotors with large thrust-to-weight ratios are able to track aggressive trajectories with sharp turns and high accelerations. In this work, we develop a search-based trajectory planning approach that exploits the quadrotor…

Robotics · Computer Science 2017-10-10 Sikang Liu , Kartik Mohta , Nikolay Atanasov , Vijay Kumar

Micro aerial vehicles are widely being researched and employed due to their relative low operation costs and high flexibility in various applications. We study the under-actuated quadrotor perching problem, designing a trajectory planner…

Robotics · Computer Science 2021-03-05 Chen-Huan Pi , Kai-Chun Hu , Yu-Ting Huang , Stone Cheng

This paper addresses the problem of real-time vision-based autonomous obstacle avoidance in unstructured environments for quadrotor UAVs. We assume that our UAV is equipped with a forward facing stereo camera as the only sensor to perceive…

Robotics · Computer Science 2020-10-20 Shakeeb Ahmad , Rafael Fierro
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