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5,797 Results Found

  • Article
  • Open Access
19 Citations
4,221 Views
16 Pages

Automatic Spray Trajectory Optimization on Bézier Surface

  • Wei Chen,
  • Junjie Liu,
  • Yang Tang and
  • Huilin Ge

The trajectory optimization of automatic spraying robot is still a challenging problem, which is very important in the whole spraying work. Spray trajectory optimization consists of two parts: spray space path and end-effector moving speed. A large n...

(This article belongs to the Special Issue Cognitive Robotics & Control)
  • Article
  • Open Access
5 Citations
2,128 Views
18 Pages

28 January 2025

Borehole trajectory optimization is a key issue in oil and gas drilling engineering. The traditional wellbore trajectory design method faces great challenges in optimizing the trajectory length and complexity, and it is difficult to meet the actual e...

  • Article
  • Open Access
8 Citations
4,623 Views
21 Pages

Based on the lift-to-drag ratio of a two-dimensional trajectory correction projectile, in this paper, a novel correction efficiency coefficient model has been proposed for the trajectory optimization of a two-dimensional trajectory correction project...

  • Article
  • Open Access
9 Citations
5,318 Views
22 Pages

Impact of Chinese and European Airspace Constraints on Trajectory Optimization

  • Judith Rosenow,
  • Gong Chen,
  • Hartmut Fricke,
  • Xiaoqian Sun and
  • Yanjun Wang

10 November 2021

Air traffic trajectory optimization is a complex, multidimensional and non-linear optimization problem and requires a firm focus on the essential criteria. The criteria cover operational, economical, environmental, political, and social factors and d...

(This article belongs to the Collection Air Transportation—Operations and Management)
  • Article
  • Open Access
30 Citations
4,918 Views
33 Pages

Adaptive Partial Train Speed Trajectory Optimization

  • Zhaoxiang Tan,
  • Shaofeng Lu,
  • Kai Bao,
  • Shaoning Zhang and ,
  • Chaoxian Wu,
  • Jie Yang and
  • Fei Xue
  • + 2 authors+ 0 author

26 November 2018

Train speed trajectory optimization has been proposed as an efficient and feasible method for energy-efficient train operation without many further requirements to upgrade the current railway system. This paper focuses on an adaptive partial train sp...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
36 Citations
4,579 Views
18 Pages

Bucket Trajectory Optimization under the Automatic Scooping of LHD

  • Yu Meng,
  • Huazhen Fang,
  • Guodong Liang,
  • Qing Gu and
  • Li Liu

16 October 2019

We propose an optimal planning scheme of the bucket trajectory in the LHD (Load-Haul-Dump) automatic shoveling system to improve the effectiveness of the scooping operation. The research involves simulation of four typical shoveling methods, optimiza...

  • Article
  • Open Access
17 Citations
4,465 Views
20 Pages

1 November 2019

Contrails are one of the driving contributors to global warming, induced by aviation. The quantification of the impact of contrails on global warming is nontrivial and requires further in-depth investigation. In detail, condensation trails might even...

(This article belongs to the Section Sustainable Transportation)
  • Article
  • Open Access
7 Citations
4,461 Views
18 Pages

Cutting-Edge Trajectory Optimization through Quantum Annealing

  • Andrea Carbone,
  • Federico De Grossi and
  • Dario Spiller

30 November 2023

This paper introduces an innovative approach to explore the capabilities of Quantum Annealing (QA) for trajectory optimization in dynamic systems. The proposed method involves transforming trajectory optimization problems into equivalent binary optim...

(This article belongs to the Section Aerospace Science and Engineering)
  • Article
  • Open Access
788 Views
17 Pages

Multi-Objective Trajectory Optimization of Container Material-Handling Robot

  • Zan Wang,
  • Shuaikang Li,
  • Jinghua Wu,
  • Qixiang Zhang and
  • Fusheng Luo

23 February 2026

To address the collaborative optimization of efficiency, stability, and energy consumption in container part-handling operations of material-handling robots, this paper proposes a multi-objective trajectory-planning method. First, the kinematic and d...

(This article belongs to the Section Robotics, Mechatronics and Intelligent Machines)
  • Article
  • Open Access
13 Citations
6,806 Views
21 Pages

A Cartesian-Based Trajectory Optimization with Jerk Constraints for a Robot

  • Zhiwei Fan,
  • Kai Jia,
  • Lei Zhang,
  • Fengshan Zou and ,
  • Zhenjun Du,
  • Mingmin Liu,
  • Yuting Cao and
  • Qiang Zhang
  • + 3 authors+ 0 author

3 April 2023

To address the time-optimal trajectory planning (TOTP) problem with joint jerk constraints in a Cartesian coordinate system, we propose a time-optimal path-parameterization (TOPP) algorithm based on nonlinear optimization. The key insight of our appr...

(This article belongs to the Special Issue Nonlinear Control Systems with Recent Advances and Applications)
  • Article
  • Open Access
13 Citations
4,185 Views
31 Pages

Attitude Trajectory Optimization to Ensure Balance Hexapod Locomotion

  • Chen Chen,
  • Wei Guo,
  • Pengfei Wang,
  • Lining Sun and ,
  • Fusheng Zha,
  • Junyi Shi and
  • Mantian Li
  • + 2 authors+ 0 author

5 November 2020

This paper proposes a simple attitude trajectory optimization method to enhance the walking balance of a large-size hexapod robot. To achieve balance motion control of a large-size hexapod robot on different outdoor terrains, we planned the balance a...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
6 Citations
2,167 Views
16 Pages

Variational Method-Based Trajectory Optimization for Hybrid Airships

  • Wen Gao,
  • Yanqiang Bi,
  • Xiyuan Li,
  • Apeng Dong and ,
  • Jing Wang and
  • Xiaoning Yang
  • + 1 author+ 0 author

Hybrid airships, combining aerodynamic lift and buoyant lift, are efficient near-space aircraft for scientific exploration, observation, and surveillance. Compared to conventional airplanes and airships, hybrid airships offer unique advantages, inclu...

  • Review
  • Open Access
2 Citations
2,564 Views
23 Pages

A Review of Intelligent Trajectory Planning and Optimization for Aerospace Vehicles

  • Guanjie Hu,
  • Linxin Li,
  • Yingmin Yi,
  • Lecheng Liang and ,
  • Zongyi Guo,
  • Jianguo Guo and
  • Jing Chang
  • + 2 authors+ 0 author

Aerospace vehicles operate across a wide flight envelope, traversing dense atmospheric layers from near-space to low Earth orbit. Trajectory planning and optimization in a large spatial domain and wide speed range present severe challenges to traditi...

(This article belongs to the Special Issue Guidance and Control Systems of Aerospace Vehicles)
  • Article
  • Open Access
4 Citations
1,142 Views
28 Pages

17 October 2025

The rapid expansion of global shipping has led to continuously increasing vessel traffic density, making high-accuracy ship trajectory prediction particularly critical for navigational safety and traffic management optimization in complex waters such...

(This article belongs to the Special Issue Ship Manoeuvring and Control)
  • Article
  • Open Access
391 Views
30 Pages

17 August 2026

To address the difficulty of simultaneously optimizing execution time, energy consumption, and motion smoothness for six-degrees-of-freedom (6-DOF) industrial robotic manipulators in continuous operations such as high-speed handling and assembly, thi...

(This article belongs to the Section Robotics and Automation)
  • Article
  • Open Access
17 Citations
4,568 Views
16 Pages

Multi-Objective Optimization of Drilling Trajectory Considering Buckling Risk

  • Jiho Jeong,
  • Chaeog Lim,
  • Byeong-Cheol Park,
  • Jeonghoon Bae and
  • Sung-chul Shin

10 February 2022

Directional drilling involves three sections—vertical, curved, and horizontal—and is used for drilling offshore wells and mining unconventional resources. The initial design of a well trajectory is important because the total length of th...

  • Article
  • Open Access
3 Citations
2,914 Views
11 Pages

Trajectory optimization is an essential tool for the high-fidelity planning of missions in aerospace engineering in order to increase their safety. Robust optimal control methods are utilized in the present study to address environmental or system un...

(This article belongs to the Section Aeronautics)
  • Article
  • Open Access
3 Citations
3,789 Views
20 Pages

5 January 2021

Moving load is a fundamental loading pattern for many civil engineering structures and machines. This paper proposes and experimentally verifies an approach for indirect identification of 2D trajectories of moving loads. In line with the “struc...

(This article belongs to the Special Issue Toward Data-Driven Structural Health Monitoring: New Approaches and Sensor-Based Methods)
  • Article
  • Open Access
405 Views
22 Pages

Online Trajectory Optimization Based on Pseudospectra Convex Optimization for Morphing Gliding Reentry Vehicles

  • Tong Wei,
  • Jiale Huang,
  • Xingyu Zhu,
  • Fengqi Ni and ,
  • Xinyue Zhou,
  • Mengdie Liu and
  • Enmi Yong
  • + 2 authors+ 0 author

Trajectory planning for morphing gliding reentry vehicles is a nonconvex optimization problem driven by nonlinearity, parameter uncertainty, and multiple constraints. No-fly zones (NFZs) are a critical constraint because their rapid movement and expa...

(This article belongs to the Special Issue Intelligent Guidance, Navigation, and Control for Next-Generation Spacecraft)
  • Article
  • Open Access
5 Citations
1,481 Views
21 Pages

1 May 2025

To realize the autonomous operation of unmanned excavators, this study takes the four-axis manipulator arm of an unmanned excavator as the research object, uses the five-order B-spline curve for operation trajectory planning, and proposes an improved...

(This article belongs to the Section Actuators for Surface Vehicles)
  • Article
  • Open Access
692 Views
29 Pages

30 November 2025

A variety of aerospace trajectory optimization problems are subject to either discontinuities or constraints at intermediate times, which define multiple arcs with distinctive governing equations. This work addresses multi-arc optimal control problem...

(This article belongs to the Section Astronautics & Space Science)
  • Article
  • Open Access
17 Citations
6,039 Views
19 Pages

4D flight trajectory optimization is an essential component to improve flight efficiency and to enhance air traffic capacity. this technique not only helps to reduce the operational costs, but also helps to reduce the environmental impact caused by t...

  • Article
  • Open Access
35 Citations
9,986 Views
19 Pages

28 January 2021

The implementation of Trajectory-Based Operations, invented by the Single European Sky Air Traffic Management Research program SESAR, enables airlines to fly along optimized waypoint-less trajectories and accordingly to significantly increase the sus...

  • Article
  • Open Access
3 Citations
3,691 Views
21 Pages

This paper proposes a constrained trajectory optimization framework for autonomous vehicles (AVs) based on convex programming techniques. An enhanced kinematic vehicle model is introduced to capture dynamic motion characteristics that are often overl...

(This article belongs to the Special Issue Intelligent Mobile Robotic Systems: Decision, Planning and Control, 2nd Edition)
  • Article
  • Open Access
4 Citations
2,561 Views
20 Pages

9 November 2021

Parafoil trajectory directly affects the power generation of a high-altitude wind power generation (HAWPG) device. Therefore, it is particularly important to optimize the parafoil trajectory and then to track it effectively. In this paper, the trajec...

  • Article
  • Open Access
1 Citations
1,506 Views
19 Pages

2 October 2025

This paper proposes a fast midcourse trajectory optimization method by using the Bézier curve as a transcription scheme to represent the interceptor trajectories. First, the trajectory optimization problem is established with the constraints d...

(This article belongs to the Special Issue Spacecraft Trajectory Design)
  • Article
  • Open Access
19 Citations
7,463 Views
24 Pages

Trajectory optimization has been an active area of research for air transport studies for several decades. But almost all flight optimizers proposed in the literature remain close-sourced, which presents a major disadvantage for the advancement of sc...

(This article belongs to the Collection Air Transportation—Operations and Management)
  • Review
  • Open Access
6 Citations
4,387 Views
55 Pages

Trajectory Optimization for Orbit Transfers: Principles, Advances, Case Studies, and Outlook

  • Katherine Vasiloff,
  • Israel Adesina,
  • Zhenbo Wang,
  • Kshitij Mall and
  • Daniel A. DeLaurentis

6 December 2025

This review presents an in-depth exploration of trajectory optimization techniques for various orbit transfer applications, focusing on principles, methodologies, and practical case studies. The emphasis is placed on indirect, direct, and data-driven...

(This article belongs to the Special Issue Spacecraft Orbit Transfers (2nd Edition))
  • Article
  • Open Access
7 Citations
4,163 Views
22 Pages

Constrained Parameterized Differential Dynamic Programming for Waypoint-Trajectory Optimization

  • Xiaobo Zheng,
  • Feiran Xia,
  • Defu Lin,
  • Tianyu Jin and ,
  • Wenshan Su and
  • Shaoming He
  • + 1 author+ 0 author

Unmanned aerial vehicles (UAVs) are required to pass through multiple important waypoints as quickly as possible in courier delivery, enemy reconnaissance and other tasks to eventually reach the target position. There are two important problems to be...

(This article belongs to the Topic Target Tracking, Guidance, and Navigation for Autonomous Systems, 2nd Edition)
  • Article
  • Open Access
33 Citations
5,213 Views
22 Pages

5 October 2022

Currently, the high demand for new products in the automotive sector requires large investments in factories. The automotive industry is characterized by high automatization, largely achieved by manipulator robots capable of multitasking. This work p...

(This article belongs to the Section Internet of Things)
  • Article
  • Open Access
20 Citations
4,545 Views
18 Pages

Trajectory Optimization in a Cooperative Aerial Reconnaissance Model

  • Petr Stodola,
  • Jan Drozd,
  • Jan Nohel,
  • Jan Hodický and
  • Dalibor Procházka

24 June 2019

In recent years, the use of modern technology in military operations has become standard practice. Unmanned systems play an important role in operations such as reconnaissance and surveillance. This article examines a model for planning aerial reconn...

(This article belongs to the Special Issue Deployment and Navigation of Aerial Drones for Surveillance and Monitoring)
  • Article
  • Open Access
2 Citations
1,302 Views
29 Pages

Non-Vertical Well Trajectory Design Based on Multi-Objective Optimization

  • Xiaowei Li,
  • Yu Li,
  • Yang Wu,
  • Zhaokai Hou and
  • Haipeng Gu

14 July 2025

The optimization and control of the wellbore trajectory is one of the important technologies to improve drilling efficiency, reduce drilling cost, and ensure drilling safety in the process of modern oil and gas exploration and development. In this pa...

(This article belongs to the Section Earth Sciences)
  • Article
  • Open Access
2 Citations
2,701 Views
13 Pages

Trajectory Optimization for UAV-Aided IoT Secure Communication Against Multiple Eavesdroppers

  • Lingfeng Shen,
  • Jiangtao Nie,
  • Ming Li,
  • Guanghui Wang and ,
  • Qiankun Zhang and
  • Xin He
  • + 1 author+ 0 author

This study concentrates on physical layer security (PLS) in UAV-aided Internet of Things (IoT) networks and proposes an innovative approach to enhance security by optimizing the trajectory of unmanned aerial vehicles (UAVs). In an IoT system with mul...

(This article belongs to the Section Internet of Things)
  • Article
  • Open Access
26 Citations
4,959 Views
19 Pages

A Neural Network Warm-Started Indirect Trajectory Optimization Method

  • Jianlin Shi,
  • Jinbo Wang,
  • Linfeng Su,
  • Zhenwei Ma and
  • Hongbo Chen

The mission of spacecraft usually faces the problem of an unknown deep space environment, limited long-distance communication and complex environmental dynamics, which brings new challenges to the intelligence level and real-time performance of space...

(This article belongs to the Special Issue Recent Advances in Spacecraft Dynamics and Control)
  • Article
  • Open Access
25 Citations
5,039 Views
19 Pages

9 July 2019

A study on trajectory planning and optimization for a Par4 parallel robot was carried out, based on energy consumption in high-speed picking and placing. In the end-effector operating space of the Par4 parallel robot, the rectangular transition of th...

  • Article
  • Open Access
432 Views
17 Pages

Dynamic Trajectory Planning and Tracking Based on Lane-Change Time Optimization

  • Hongluo Li,
  • Weixiong Li,
  • Xiang Li,
  • Yusheng Xiang and ,
  • Jingxiang Li,
  • Hongyang Xia and
  • Tianqing Su
  • + 2 authors+ 0 author

With the emergence of global traffic problems, the development of safe, efficient, and reliable intelligent driving technologies has become a research hotspot. As a key component of intelligent driving technology, trajectory planning directly affects...

(This article belongs to the Section Automation and Control Systems)
  • Article
  • Open Access
5 Citations
2,265 Views
20 Pages

Pigeon-Inspired Transition Trajectory Optimization for Tilt-Rotor UAVs

  • Jinlai Deng,
  • Yunjie Yang,
  • Jihong Zhu,
  • Wenan Liao and ,
  • Xiaming Yuan and
  • Xiangyang Wang
  • + 1 author+ 0 author

14 June 2025

The continuous configuration changes and velocity variations of tilt-rotor UAVs during the transition phase pose significant challenges to flight safety. Hence, the transition phase trajectory must be specially designed. The transition corridor is an...

(This article belongs to the Special Issue Biological UAV Swarm Control)
  • Article
  • Open Access
6 Citations
2,200 Views
23 Pages

14 December 2024

Mobile edge computing (MEC) deployed in unmanned aerial vehicles (UAVs) has shown special strength by enhancing computational capacity and prolonging the battery lives of terrestrial user equipment (UE). Nevertheless, current research lacks studies o...

(This article belongs to the Special Issue Technologies and Applications of UAV Channel Models in Communications and Spectrum Awareness)
  • Article
  • Open Access
4 Citations
5,996 Views
29 Pages

6 May 2022

With the rapid development of robot perception and planning technology, robots are gradually getting rid of fixed fences and working closely with humans in shared workspaces. The safety of human-robot coexistence has become critical. Traditional moti...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
8 Citations
1,978 Views
17 Pages

Study on Trajectory Optimization for a Flexible Parallel Robot in Tomato Packaging

  • Tianci Guo,
  • Jiangbo Li,
  • Yizhi Zhang,
  • Letian Cai and
  • Qicheng Li

11 December 2024

Currently, flexible robots, exemplified by parallel robots, play a crucial role in the automated packaging of agricultural products due to their rapid, accurate, and stable characteristics. This research systematically explores trajectory planning st...

(This article belongs to the Section Agricultural Technology)
  • Article
  • Open Access
  • Best Paper Award
34 Citations
4,339 Views
29 Pages

2 July 2024

Two-wheeled mobile robots with deformed wheels face low stability when climbing steps, and their success rate in overcoming steps is affected by the trajectory. To address these challenges, we propose an improved hybrid genetic and adaptive particle...

  • Feature Paper
  • Article
  • Open Access
982 Views
24 Pages

8 March 2026

In ultrasonic nondestructive testing, maintaining the ultrasonic sensor in normal contact with curved surfaces is pivotal for acquiring valid defect signals. Replacing manual operation with a robotic arm ensures stable signal collection, while stable...

(This article belongs to the Special Issue Advanced Coating Technology Towards Additive Manufacturing, Composite Material, Surface Science and Engineering Application Optimization)
  • Article
  • Open Access
19 Citations
3,595 Views
19 Pages

Industrial Robot Trajectory Optimization Based on Improved Sparrow Search Algorithm

  • Fei Ma,
  • Weiwei Sun,
  • Zhouxiang Jiang,
  • Shuangfu Suo and ,
  • Xiao Wang and
  • Yue Liu
  • + 1 author+ 0 author

20 July 2024

This paper proposes an enhanced multi-strategy sparrow search algorithm to optimize the trajectory of a six-axis industrial robot, addressing issues of low efficiency and high vibration impact on joints during operation. Initially, the improved D-H p...

(This article belongs to the Special Issue Industry 4.0: Intelligent Robots in Smart Manufacturing)
  • Article
  • Open Access
2 Citations
1,039 Views
22 Pages

22 May 2025

Automatic reverse parking (ARP) faces challenges in finding ideal reference trajectories that avoid collisions, maintain smoothness, and minimize path length. To address this, we propose an improved directional mutation moth–flame optimization...

(This article belongs to the Topic Optimization Control and Fault Diagnosis of Intelligent Transportation Systems)
  • Article
  • Open Access
3 Citations
1,815 Views
20 Pages

11 July 2024

Parking path optimization is the principal problem of automatic vertical parking (AVP); however, it is difficult to determine a collision avoiding, smooth, and accurate optimized parking path using traditional parking reference trajectory optimizatio...

(This article belongs to the Section Analysis of Algorithms and Complexity Theory)
  • Article
  • Open Access
1,611 Views
28 Pages

20 March 2026

This paper presents a practical optimization framework for improving trajectory feasibility in constrained nonlinear optimal control problems for agile unmanned aerial vehicles (UAVs). The proposed method addresses trajectory optimization problems wi...

(This article belongs to the Special Issue Flight Control and Path Planning of Unmanned Aerial Vehicles)
  • Article
  • Open Access
9 Citations
2,826 Views
17 Pages

Joints Trajectory Planning of Robot Based on Slime Mould Whale Optimization Algorithm

  • Xinning Li,
  • Qin Yang,
  • Hu Wu,
  • Shuai Tan and ,
  • Qun He,
  • Neng Wang and
  • Xianhai Yang
  • + 2 authors+ 0 author

29 September 2022

The joints running trajectory of a robot directly affects it’s working efficiency, stationarity and working quality. To solve the problems of slow convergence speed and weak global search ability in the current commonly used joint trajectory op...

(This article belongs to the Section Analysis of Algorithms and Complexity Theory)
  • Article
  • Open Access
24 Citations
6,814 Views
19 Pages

29 December 2023

The advancement of electric vertical take-off and landing (eVTOL) aircraft has expanded the horizon of urban air mobility. However, the challenge of generating precise vertical take-off and landing (VTOL) trajectories that comply with airworthiness r...

(This article belongs to the Special Issue Recent Research on UAM/AAM Aircraft and Systems: Modeling, Advanced Control, and Emerging Technologies)
  • Article
  • Open Access
47 Citations
9,171 Views
17 Pages

Considering the high-efficient trajectory planning requirements for hypersonic vehicles, this paper proposes a real-time trajectory optimization method based on a deep neural network. First, the trajectory optimization model of the hypersonic vehicle...

(This article belongs to the Special Issue Hypersonics: Emerging Research)
  • Article
  • Open Access
1,073 Views
25 Pages

Reentry Trajectory Optimization of Hypersonic Vehicle Based on Multi-Strategy Improved WOA Optimized Attention-LSTM Network

  • Encheng Dai,
  • Guangbin Cai,
  • Yonghua Fan,
  • Hui Xu and ,
  • Hao Wei and
  • Xin Li
  • + 1 author+ 0 author

Trajectory optimization of hypersonic vehicles face challenges from complex aerodynamic environments and multiple constraints, where traditional offline optimization methods struggle to meet real-time requirements. This study proposes a novel online...

(This article belongs to the Section Aeronautics)

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