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1

Takalani, Rofhiwa Lutendo Edward, and Lesedi Masisi. "Development of An Optimal Port Crane Trajectory for Reduced Energy Consumption." Energies 16, no. 20 (2023): 7172. http://dx.doi.org/10.3390/en16207172.

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This paper is concerned with the development of an optimal load-handling trajectory for port cranes. The objective is to minimize load cycle time and reduce energy consumption. Energetic macroscopic representation formalism is used to model a port crane load-handling mechanism. The crane model developed includes the mathematical model, the crane’s local control system, and a MATLAB/Simulink model for simulation. The particle swarm optimization algorithm is used to find the set of pareto optimal crane trajectories given the variation in crane size, ship size, and wind speed. Experimental valida
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2

Sayfullin, Askar Aidarovich. "ANALYTICAL TOOL DEVELOPMENT FOR DEREMINING THE OPTIMAL WELL TRAJECTORY." Nauka Innovatsii Tekhnologii, no. 3 (2022): 47–74. http://dx.doi.org/10.37493/2308-4758.2022.3.3.

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3

Han, Yun-xiang, Xiao-qiong Huang, and Xin-min Tang. "Development of a new tool for constrained conflict resolution." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 5 (2018): 1683–94. http://dx.doi.org/10.1177/0954410018760356.

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In this paper, the problem of finding the optimal trajectory of an aircraft through a specified airspace for a given start and goal position is put forward. The application of sequential programming to optimal trajectory generation is reported with the selection of the grid size and the space boundaries. A totally discrete approach is adopted in contrast to the other models, which use continuous time but resort to diseretization in the computation. The component of the mathematical formulation of the optimization criteria is considered and the procedures used within the control algorithm on th
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4

Gui, Xuhao, Junfeng Zhang, Xinmin Tang, and Jie Bao. "Improved Data-Driven Trajectory Optimization Method Utilizing Deep Trajectory Generation." Journal of Aerospace Information Systems 22, no. 1 (2025): 28–42. https://doi.org/10.2514/1.i011418.

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The imbalance between air traffic capacity and demand, especially in the terminal maneuvering area, constrains the development of the civil aviation industry. To enhance the capacity, providing aircraft with optimal trajectories is the way forward. The key challenge of building a trajectory optimization model lies in embedding air traffic controllers’ operation experience into the optimization process. Previous efforts proposed a data-driven trajectory optimization method to learn operation experience from historical data for trajectory optimization use, which is limited by the issues of insuf
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5

Yoo, Hyun-Seok, Jeong-Ho Lee, and Young-Suk Kim. "Development of an Optimal Trajectory Planning Algorithm for Automated Pavement Crack Sealer." Korean Journal of Construction Engineering and Management 11, no. 4 (2010): 68–79. http://dx.doi.org/10.6106/kjcem.2010.11.4.68.

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6

Hu, Lin, Jie Wang, Jing Huang, Pak Kin Wong, and Jing Zhao. "Lane Change Trajectory Planning for Intelligent Electric Vehicles in Dynamic Traffic Environments: Aiming at Optimal Energy Consumption." Sustainability 17, no. 9 (2025): 4235. https://doi.org/10.3390/su17094235.

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With the reduction in battery costs and the widespread application of artificial intelligence, the adoption of new-energy vehicles is accelerating. Integrating energy consumption optimization into the process of intelligent development is of great significance for sustainable development. This paper, considering the regenerative braking characteristics of electric vehicles and the time-varying nature of surrounding obstacle vehicles during lane changes, proposes a segmented real-time trajectory-planning method combining optimal control and quintic polynomials. At the beginning of the lane chan
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7

Ketova, K., I. Rusyak, and R. Sedov. "Addressing the Problem of Regional Socio-economic System Management With a Manpower Effective Volume Taken Into Account." Bulletin of Science and Practice 6, no. 7 (2020): 10–25. http://dx.doi.org/10.33619/2414-2948/56/01.

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In the paper, a problem of regional socio-economic system management is solved, as exemplified by one of Russia’s regions. An optimal management algorithm is created, with an effective capacity of the workforce taken into account. The statement of the problem is implemented based on a regional economic system macro model, with an effective capacity of a labor force and a physical capital to be viewed as development factors. The underscore preliminary proposition of the model is the fact that labor force effective capacity consists of both qualitative (labor productivity of a worker) and quanti
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8

Ketova, K., I. Rusyak, and R. Sedov. "Addressing the Problem of Regional socio-economic System Management with a manpower effective volume taken into account." Bulletin of Science and Practice 6, no. 7 (2020): 10–25. https://doi.org/10.33619/2414-2948/56/01.

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In the paper, a problem of regional socio-economic system management is solved, as exemplified by one of Russia’s regions. An optimal management algorithm is created, with an effective capacity of the workforce taken into account. The statement of the problem is implemented based on a regional economic system macro model, with an effective capacity of a labor force and a physical capital to be viewed as development factors. The underscore preliminary proposition of the model is the fact that labor force effective capacity consists of both qualitative (labor productivity of a worker) and
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9

Lysenko, O. I., V. L. Shevchenko, O. M. Tachynina, S. O. Ponomarenko, and O. H. Guida. "Structure of the algorithm for modeling optimal movement of a compound dynamic system." PROBLEMS IN PROGRAMMING, no. 2-3 (September 2024): 69–77. https://doi.org/10.15407/pp2024.02-03.069.

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The work is devoted to the development of the structure of the algorithm for modeling the optimal movement of complex dynamic systems (SDS) along a branched trajectory. Complex systems are called systems consisting of separate subsystems, the flight trajectories of which differ and are called branched. Branched trajectories should consist of trajectory segments, the first of which will be common to the entire SDS, and the other trajectory branches will be different, as each subsystem moves to its goal along its own trajectory segment. The proposed algorithm makes it possible to optimize such t
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10

Nguyen, Ngoc-Duc, Mai The Vu, Phi Nguyen, et al. "Time-Optimal Trajectory Design for Heading Motion of the Underwater Vehicle." Journal of Marine Science and Engineering 11, no. 6 (2023): 1099. http://dx.doi.org/10.3390/jmse11061099.

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Underwater vehicles are a powerful tool that can assist oceanologists with measuring the state of oceans on a large scale. The heading control is essential for the underwater vehicle to follow a specific path. This study describes the general decoupled dynamics of underwater vehicles, which is a nonlinear second-order differential equation considering linear and quadratic damping hydrodynamics. A novel aspect of this study is the development of a new analytical solution for the second-order nonlinear differential equation, which involves the heading motion of the underwater vehicle. In this st
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11

BANNOVA, Kristina A., and Yulia G. TYURINA. "OPTIMAL TAX TRAJECTORIES OF THE KAZAKHSTAN LARGEST COMPANIES." Tyumen State University Herald. Social, Economic, and Law Research 6, no. 4 (2020): 279–94. http://dx.doi.org/10.21684/2411-7897-2020-6-4-279-294.

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The agro-industrial complex of any country forms its food and economic security; it also acts as a guarantor of sustainable development of the socio-economic system. Today, one of the components of the agro-industrial complex, agriculture, contributes to the implementation of a number of life-supporting functions of the state. Thus, due to its geographical location and vast territories, agriculture is one of the most important types of economic activity in Kazakhstan. The current stage of the country’s economic activity is closely related to the development of the fuel and energy industry. The
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12

Lee, Jae Kwan. "Transformer-Based Vehicle-Trajectory Prediction at Urban Low-Speed T-Intersection." Sensors 25, no. 14 (2025): 4256. https://doi.org/10.3390/s25144256.

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Transformer-based models have demonstrated outstanding performance in trajectory prediction; however, their complex architecture demands substantial computing power, and their performance degrades significantly in long-term prediction. A transformer model was developed to predict vehicle trajectory in urban low-speed T-intersections. Microscopic traffic simulation data were generated to train the trajectory-prediction model; furthermore, validation data focusing on atypical scenarios were also produced. The appropriate loss function to improve prediction accuracy was explored, and the optimal
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13

Zhang, Xiaolong, Yu Huang, Youmin Rong, Gen Li, Hui Wang, and Chao Liu. "Optimal Trajectory Planning for Wheeled Mobile Robots under Localization Uncertainty and Energy Efficiency Constraints." Sensors 21, no. 2 (2021): 335. http://dx.doi.org/10.3390/s21020335.

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With the rapid development of robotics, wheeled mobile robots are widely used in smart factories to perform navigation tasks. In this paper, an optimal trajectory planning method based on an improved dolphin swarm algorithm is proposed to balance localization uncertainty and energy efficiency, such that a minimum total cost trajectory is obtained for wheeled mobile robots. Since environmental information has different effects on the robot localization process at different positions, a novel localizability measure method based on the likelihood function is presented to explicitly quantify the l
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14

Zakharchenko, V. I., and S. V. Oneshko. "Clarification of the Formalization Process for Models of Economic Dynamics in the Study of the Development of Organizational and Technological Systems." HERALD OF THE ECONOMIC SCIENCES OF UKRAINE, no. 1(42) (2022): 57–63. http://dx.doi.org/10.37405/1729-7206.2022.1(42).57-63.

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The article substantiates the creation and practical development of organizational and technological systems in high-tech production on the basis of the main theory and solution of linear programming problems. The main problem when using models of economic dynamics in creating this type of system is the large dimension of the emerging optimization problems, which prevents the direct use of known computational procedures for solving linear programming problems. To do this, we consider an extreme problem for direct dynamic analysis of the Leontief model using the standard linear programming prob
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15

Yoo, Hyun-Seok, and Young-Suk Kim. "Development of an Optimal Trajectory Planning Algorithm for an Automated Pavement Crack Sealer." Journal of Construction Engineering and Project Management 2, no. 1 (2012): 35–44. http://dx.doi.org/10.6106/jcepm.2012.2.1.035.

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16

Diao, X. D., S. X. Zeng, and Vivian W. Y. Tam. "Development of an optimal trajectory model for spray painting on a free surface." Computers & Industrial Engineering 57, no. 1 (2009): 209–16. http://dx.doi.org/10.1016/j.cie.2008.11.010.

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17

Llopis-Albert, Carlos, Francisco Rubio, and Francisco Valero. "Optimization approaches for robot trajectory planning." Multidisciplinary Journal for Education, Social and Technological Sciences 5, no. 1 (2018): 1. http://dx.doi.org/10.4995/muse.2018.9867.

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<p class="Textoindependiente21">The development of optimal trajectory planning algorithms for autonomous robots is a key issue in order to efficiently perform the robot tasks. This problem is hampered by the complex environment regarding the kinematics and dynamics of robots with several arms and/or degrees of freedom (dof), the design of collision-free trajectories and the physical limitations of the robots. This paper presents a review about the existing robot motion planning techniques and discusses their pros and cons regarding completeness, optimality, efficiency, accuracy, smoothne
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18

Xu, Hanwen, Wengen Gao, Jiaming Zhu, and Guoqing Zhang. "Time-optimal trajectory planning for manipulator based on an improved sparrow search algorithm." Journal of Physics: Conference Series 2816, no. 1 (2024): 012056. http://dx.doi.org/10.1088/1742-6596/2816/1/012056.

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Abstract With the development of industrial automation, it is crucial to use manipulators for efficient painting. To solve the problem of inefficient trajectory planning of manipulators in the point-to-point painting process, this paper proposes a time-optimal trajectory planning method based on an improved sparrow search algorithm. Initially, the standard D-H parameter method is used to establish the kinematic model of the manipulator. To ensure the continuity of each joint in the manipulator, a 3-5-3 polynomial interpolation function is utilized to construct the motion trajectory in joint sp
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19

Kirillova, L. G., and G. A. Khismatullin. "DEVELOPMENT OF THE MOTIVATIONAL POTENTIAL OF EMPLOYEES." EKONOMIKA I UPRAVLENIE: PROBLEMY, RESHENIYA 12/6, no. 153 (2024): 207–13. https://doi.org/10.36871/ek.up.p.r.2024.12.06.027.

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In modern companies, the development of the motivational potential of employees creates conditions for achieving the company’s strategic goals, promotes employee involvement in production processes for improvements, and increases labor productivity. The use of various forms of tariff-free remuneration allows you to choose the most optimal option for financial incentives for staff, make the motivation system transparent to all staff, and make the career trajectory of employees more predictable.
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20

Likhter, Pavel L. "The Externalist Trajectory of the Development of Law: Utilitarianism or Eudemonism?" History of state and law 1 (January 28, 2021): 23–29. http://dx.doi.org/10.18572/1812-3805-2021-1-23-29.

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The article examines the importance of externalist and internalist approaches for the formation of an optimal strategy for the development of legal science in modern conditions. Some aspects of interaction of law with economics, ethics, politics and other spheres of public relations are considered. Special attention is paid to the influence of eudaimonism, utilitarianism and other consequential concepts on the legal institutions. It is concluded that the externalist path of development is promising, provided that the narrow utilitarian realization of the ideals and economic prerequisites of co
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21

Li, Huifang, and Dariusz Ceglarek. "Optimal Trajectory Planning For Material Handling of Compliant Sheet Metal Parts." Journal of Mechanical Design 124, no. 2 (2002): 213–22. http://dx.doi.org/10.1115/1.1463035.

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One of the most critical issues in the material handling of compliant objects is excessive part deformation. The deformation of compliant sheet metal parts during the handling process can significantly impact both part dimensional quality and production rate. Increasing production rate while maintaining part quality requires an optimal design of the part transfer trajectory. This paper describes a new methodology of time-optimal trajectory planning for compliant parts by discretizing the part transfer path into N segments that have equal horizontal distance and by approximating the trajectory
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22

Igor, Lutsenko, Oksanych Аnatolii, Fomovskaya Olena, Oksanych Iryna, Mospan Denis, and Serdiuk Olga. "DEVELOPMENT OF A METHOD FOR DETERMINING THE OPTIMAL CONTROL TRAJECTORY FOR THE PERIODIC PROCESSES." EUREKA: Physics and Engineering, no. 3 (August 29, 2019): 59–68. https://doi.org/10.21303/2461-4262.2019.00900.

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The development of new converting technologies and increasing the level of automation leads to an increase in the processing speed of available resources. This means that in case of inefficient or inefficient use of resources, the potential of economic advantage is lost, and the negative consequences of such losses can be identified too late. In such conditions, the requirements for the selection of the criterion of optimization and the validity of the principles of optimal control increase. Moreover, the approach used may vary depending on the daily change in prices for energy products and fl
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23

Filippova, Maryna, Mariia Demchenko, Denis Smolnikov, Natalia Bezuglaya та Halina Bohdan. "Використання систем автоматизованого проектування для підвищення точності механічної обробки". Aerospace Technic and Technology, № 2 (24 квітня 2023): 27–37. http://dx.doi.org/10.32620/aktt.2023.2.03.

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The subject of the study is methods and means of determining the influence of the trajectory of the tool on the foreground of the volume of complex parts. The aim is to improve the quality and accuracy of the production of composite profile parts after machining at CNC machining centers, by using the optimal machining strategy. Task: to analyze existing methods of processing complex profile parts at CNC processing centers and justify the choice of the optimal strategy for the side of the surface of the part. The methods used are: methods of controlling the accuracy of processing complex surfac
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24

Potter, Harold, John Kern, Guillermo Gonzalez, and Claudio Urrea. "Energetically Optimal Trajectory for a Redundant Planar Robot by Means of a Nested Loop Algorithm." Elektronika ir Elektrotechnika 28, no. 2 (2022): 4–17. http://dx.doi.org/10.5755/j02.eie.30397.

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This work presents an optimal point-to-point trajectory planning method based on fourth degree polynomials to reduce the energy consumption of a redundant planar robot in the XY plane. The contribution of this study focuses on the development of a two-level nested optimization algorithm, which manages to optimize three elements: the Optimal Weighting Vector that establishes the influence of each joint on the total energy consumption of the robotic equipment; the optimal start and finish configurations of the trajectory; and the vector corresponding to the fifth coefficient of the trajectory ge
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25

Novrianti, Novrianti, Rycha Melisa, and Rafhie Adrian. "Kick-Off Point (KOP) and End of Buildup (EOB) Data Analysis in Trajectory Design." Journal of Geoscience, Engineering, Environment, and Technology 2, no. 2 (2017): 133. http://dx.doi.org/10.24273/jgeet.2017.2.2.302.

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Well X is a development well which is directionally drilled. Directional drilling is choosen because the coordinate target of Well X is above the buffer zone. The directional track plan needs accurate survey calculation in order to make the righ track for directional drilling. There are many survey calculation in directional drilling such as tangential, underbalance, average angle, radius of curvature, and mercury method. Minimum curvature method is used in this directional track plan calculation. This method is used because it gives less error than other method. Kick-Off Point (KOP) and End o
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26

Zakharova, K. A., and D. A. Muravev. "Mathematical modeling of the optimal tax trajectory of a commercial organization." MIR (Modernization. Innovation. Research) 15, no. 4 (2025): 607–24. https://doi.org/10.18184/2079-4665.2024.15.4.607-624.

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Purpose: is to develop the mathematical model for quantitative assessment of the tax burden by building the tax trajectory of a commercial organization as the tool for optimizing tax payments.Methods: the presented concept is developed on the basis of mathematical modeling of related economic processes concerning the formation of the tax base of the large economic entity. The model is based on a differential equation that determines the dynamics of fixed assets in relation to the selected optimal tax trajectory of the company.Results: the authors propose an approach to the calculation of tax p
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27

Yoon, Namkyung, Dongjae Lee, Kiseok Kim, Taehoon Yoo, Hyeontae Joo, and Hwangnam Kim. "STEAM: Spatial Trajectory Enhanced Attention Mechanism for Abnormal UAV Trajectory Detection." Applied Sciences 14, no. 1 (2023): 248. http://dx.doi.org/10.3390/app14010248.

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Accurate unmanned aerial vehicle (UAV) trajectory tracking is crucial for the successful execution of UAV missions. Traditional global positioning system (GPS) methods face limitations in complex environments, and visual observation becomes challenging with distance and in low-light conditions. To address this challenge, we propose a comprehensive framework for UAV trajectory verification, integrating a range-based ultra-wideband (UWB) positioning system and advanced image processing technologies. Our key contribution is the development of the Spatial Trajectory Enhanced Attention Mechanism (S
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28

Lutsenko, Igor, Аnatolii Oksanych, Olena Fomovskaya, Iryna Oksanych, Denis Mospan, and Olga Serdiuk. "DEVELOPMENT OF A METHOD FOR DETERMINING THE OPTIMAL CONTROL TRAJECTORY FOR THE PERIODIC PROCESSES." EUREKA: Physics and Engineering 3 (May 31, 2019): 59–68. http://dx.doi.org/10.21303/2461-4262.2019.00900.

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The development of new converting technologies and increasing the level of automation leads to an increase in the processing speed of available resources. This means that in case of inefficient or inefficient use of resources, the potential of economic advantage is lost, and the negative consequences of such losses can be identified too late. In such conditions, the requirements for the selection of the criterion of optimization and the validity of the principles of optimal control increase. Moreover, the approach used may vary depending on the daily change in prices for energy products and fl
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29

Lazarowska, Agnieszka. "Decision support system for collision avoidance at sea." Polish Maritime Research 19, Special (2012): 19–24. http://dx.doi.org/10.2478/v10012-012-0018-2.

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ABSTRACT The paper presents design and realization of computer decision support system in collision situations of passage with greater quantity of met objects. The system was implemented into the real ship electro-navigational system onboard research and training ship m/v HORYZONT II. The radar system with Automatic Radar Plotting Aid constitutes a source of input data for algorithm determining safe trajectory of a ship. The article introduces radar data transmission details. The dynamic programming algorithm is used for the determination of safe optimal trajectory of own ship. The system enab
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30

Valera, Ángel, Francisco Valero, Marina Vallés, Antonio Besa, Vicente Mata, and Carlos Llopis-Albert. "Navigation of Autonomous Light Vehicles Using an Optimal Trajectory Planning Algorithm." Sustainability 13, no. 3 (2021): 1233. http://dx.doi.org/10.3390/su13031233.

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Autonomous navigation is a complex problem that involves different tasks, such as location of the mobile robot in the scenario, robotic mapping, generating the trajectory, navigating from the initial point to the target point, detecting objects it may encounter in its path, etc. This paper presents a new optimal trajectory planning algorithm that allows the assessment of the energy efficiency of autonomous light vehicles. To the best of our knowledge, this is the first time in the literature that this is carried out by minimizing the travel time while considering the vehicle’s dynamic behavior
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31

BURLAKA, Serhii, Oleksandr HALUSHCHAK, Dmytro BORYSIUK, and Vladyslav BARANOV. "RESEARCH OF THE TRAJECTORY OF THE MOVEMENT OF FUEL PARTICLES IN THE MIXER." ENGINEERING, ENERGY, TRANSPORT AIC, no. 1(124) (April 22, 2024): 89–94. http://dx.doi.org/10.37128/2520-6168-2024-1-10.

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This article is devoted to the study of the trajectories of the movement of fuel particles in the mixer, which is a key aspect for improving the technological processes of modern combustion systems. It is noted that effective mixing and distribution of fuel particles plays a decisive role in ensuring optimal combustion, which, in turn, leads to increased efficiency and reduced emissions of harmful substances. The article covers various aspects of the research, including studying the hydrodynamic characteristics of the mixer, modeling the movement of fuel particles and determining the optimal m
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32

Zhang, Hongxin, Haoran Qiu, Xu Zhang, and Ping Hu. "Recent Advances on Manipulator Trajectory Planning Methods." Recent Patents on Mechanical Engineering 13, no. 4 (2020): 303–27. http://dx.doi.org/10.2174/2212797613666200319151513.

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Background: Traditional manipulator requires professionals to write control programs for specific job requirements so that the end-effector of the manipulator can work following the control instructions. However, the flexibility of the manipulator is not high under the control of off-line programming. With the diversification of the job requirements, the complexity of the work environment has gradually increased. Therefore, the relevant scholars focused their research on the automatic trajectory planning method of the manipulator. They used some algorithms to plan optimal trajectories for the
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33

Xing, Bowen, Liang Zhang, Zhenchong Liu, Hengjiang Sheng, Fujia Bi, and Jingxiang Xu. "The Study of Fishing Vessel Behavior Identification Based on AIS Data: A Case Study of the East China Sea." Journal of Marine Science and Engineering 11, no. 5 (2023): 1093. http://dx.doi.org/10.3390/jmse11051093.

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The goal of this paper is to strengthen the supervision of fishing behavior in the East China Sea and effectively ensure the sustainable development of fishery resources. Based on AIS data, this paper analyzes three types of fishing boats (purse seine operation, gill net operation and trawl operation) and uses the cubic spline interpolation algorithm to optimize the ship trajectory and construct high-dimensional features. It proposes a new coding method for fishing boat trajectory sequences. This method uses the Geohash algorithm to divide the East China Sea into grids and generate correspondi
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34

Yamada, Yu, Abu Saleh Md Bakibillah, Kotaro Hashikura, Md Abdus Samad Kamal, and Kou Yamada. "Autonomous Vehicle Overtaking: Modeling and an Optimal Trajectory Generation Scheme." Sustainability 14, no. 3 (2022): 1807. http://dx.doi.org/10.3390/su14031807.

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Traffic congestion or accidents may occur as a consequence of the difficulty of performing a safe, comfortable, and efficient overtaking in a timely manner when there is a slow or stopped vehicle, cyclist, or partial lane blockage on the road. Specifically, most drivers find it challenging to overtake a sluggish vehicle on a single-lane road in the presence of vehicles coming from other directions. To resolve such overtaking concerns, this paper proposes a novel optimal trajectory generating scheme for autonomous vehicle overtaking that is both smooth and safe and can be used in a variety of t
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35

Ossen, Saskia, and Serge P. Hoogendoorn. "Car-Following Behavior Analysis from Microscopic Trajectory Data." Transportation Research Record: Journal of the Transportation Research Board 1934, no. 1 (2005): 13–21. http://dx.doi.org/10.1177/0361198105193400102.

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The development of accurate and robust models in the field of car following has suffered greatly from the lack of appropriate microscopic data. Because of this lack, little is known about differences in car-following behavior between individual driver–vehicle combinations. This paper studies the car-following behaviors of individual drivers by making use of vehicle trajectory data extracted from high-resolution digital images collected at a high frequency from a helicopter. The analysis was performed by estimating the parameters of different specifications of the well-known Gazis–Herman–Rother
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36

Topputo, F., and C. Zhang. "Survey of Direct Transcription for Low-Thrust Space Trajectory Optimization with Applications." Abstract and Applied Analysis 2014 (2014): 1–15. http://dx.doi.org/10.1155/2014/851720.

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Space trajectory design is usually addressed as an optimal control problem. Although it relies on the classic theory of optimal control, this branch possesses some peculiarities that led to the development of ad hoc techniques, which can be grouped into two categories: direct and indirect methods. This paper gives an overview of the principal techniques belonging to the direct methods. The technique known as “direct transcription and collocation” is illustrated by considering Hermite-Simpson, high-order Gauss-Lobatto, and pseudospectral methods. Practical examples are given, and several hints
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37

SHALAGINOVA, OLGA, ROMAN STAKHNO, and ARTEM GONCHAR. "DEVELOPMENT OF AN AUTOMATED INFORMATION SYSTEM FOR CALCULATING THE MOVEMENT OF A HIGH-SPEED SMALL-SIZED BODY." Computational Nanotechnology 9, no. 4 (2022): 22–29. http://dx.doi.org/10.33693/2313-223x-2022-9-4-22-29.

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The article presents a variant of the development of an automated information system for mathematical modeling of the movement of a high-speed small-sized body based on differential equations and approximation of the trajectory of a high-speed small-sized body by numerical methods, as well as a comparative analysis of various options for numerical solutions. The automated information system allows calculating the flight trajectory coordinates of a high-speed small-sized body based on a differential equation, as well as determining the flight trajectory coordinates by the Euler method, using th
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38

Muhamediyeva, D. K., and M. Fozilova. "Analysis of the base motion model of industrial robots moving." E3S Web of Conferences 402 (2023): 03050. http://dx.doi.org/10.1051/e3sconf/202340203050.

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Development of mathematical models and algorithms for optimal control of the functioning of industrial robots on a movable base to ensure the accuracy of the trajectory of movement and positioning is considered. An equation for the functioning of industrial robots on a movable base in the implementation of a complex spatial operation obtained and, on its basis, a mathematical model of optimal control is developed.
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Wu, Yufei, Sabrullah Deniz, Yang Shi, and Zhenbo Wang. "Convex Approach to Real-Time Multiphase Trajectory Optimization for Urban Air Mobility." Journal of Air Transportation 33, no. 1 (2025): 69–85. https://doi.org/10.2514/1.d0348.

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Electric vertical takeoff and landing technology has emerged as a promising solution to alleviate ground transportation congestion. However, the limited capacity of onboard batteries enforces hard time constraints for vehicle operations in a complex urban environment. Therefore, a constrained, real-time trajectory optimization method is necessary to enable safe and energy-efficient vehicle flight. Unfortunately, most existing trajectory optimization methods suffer from low computational efficiency, unpredictable convergence processes, and strong dependence on a good initial trajectory. In this
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Hailu, Fitih F., Worku T. Bitew, Tsegaye G. Ayele, and Simon D. Zawka. "Marine protected areas for resilience and economic development." Aquatic Living Resources 36 (2023): 22. http://dx.doi.org/10.1051/alr/2023016.

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In this research, we attempt to give a comparative analysis of the space allocation of multiple-use marine protected areas (MPAs) including but not limited to the introduction of aquaculture in the area. Specifically, we consider the case where there is a need to develop MPAs for the conservation of the environment and ecological diversity. There is also a prevailing call for the establishment of aquaculture activities within the area to meet societal demands. Although aquaculture has negative externalities on MPAs, it helps to reduce the pressure on the capture fishery and increases the suppl
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Yang, Jing, Yingjie Gao, Rui Guo, Qingshan Gao, and Jingyi Zhao. "Research on Excavator Trajectory Control Based on Hybrid Interpolation." Sustainability 15, no. 8 (2023): 6761. http://dx.doi.org/10.3390/su15086761.

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In this study, to address the issues of tooth tip operation discontinuity and jitter during autonomous excavator operation, a multi-segment mixed interpolation method utilizing different higher-order polynomials has been proposed. This approach is designed to optimize the tooth tip trajectory of the excavator under multiple constraints, resulting in a smoother trajectory. Specifically, the single-bucket excavator was chosen as the research object, and three different high-order mixed polynomials were utilized to interpolate the trajectory of the digging discrete points. Through a comparative a
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Sun, Jun, Ling Lu, Jun Qing Chen, and Jiu Fu Jin. "Analysis of Gait Planning Method for Biped Robots." Advanced Materials Research 753-755 (August 2013): 1995–2000. http://dx.doi.org/10.4028/www.scientific.net/amr.753-755.1995.

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Biped robots research is mainly concentrated on the control system development and doing simulation, cubic spline interpolation method is widely applied to pre-gait planning work. This paper analyzed the robots walking process and calculated the joint trajectory curves of a walk cycle by using spline interpolation and the quintic polynomial fitting means, verifies that the result obtained by quintic polynomial algorithm tends to be more ideal, it is conducive to maintain walking stability and find the optimal joint angles. The paper provides a theoretical basis for optimizing robots trajectory
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Cao, Xiaoman, Hansheng Yan, Zhengyan Huang, et al. "A Multi-Objective Particle Swarm Optimization for Trajectory Planning of Fruit Picking Manipulator." Agronomy 11, no. 11 (2021): 2286. http://dx.doi.org/10.3390/agronomy11112286.

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Stable, efficient and lossless fruit picking has always been a difficult problem, perplexing the development of fruit automatic picking technology. In order to effectively solve this technical problem, this paper establishes a multi-objective trajectory model of the manipulator and proposes an improved multi-objective particle swarm optimization algorithm (represented as GMOPSO). The algorithm combines the methods of mutation operator, annealing factor and feedback mechanism to improve the diversity of the population on the basis of meeting the stable motion, avoiding the local optimal solutio
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Bousquet, Gabriel D., Michael S. Triantafyllou, and Jean-Jacques E. Slotine. "Optimal dynamic soaring consists of successive shallow arcs." Journal of The Royal Society Interface 14, no. 135 (2017): 20170496. http://dx.doi.org/10.1098/rsif.2017.0496.

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Albatrosses can travel a thousand kilometres daily over the oceans. They extract their propulsive energy from horizontal wind shears with a flight strategy called dynamic soaring. While thermal soaring, exploited by birds of prey and sports gliders, consists of simply remaining in updrafts, extracting energy from horizontal winds necessitates redistributing momentum across the wind shear layer, by means of an intricate and dynamic flight manoeuvre. Dynamic soaring has been described as a sequence of half-turns connecting upwind climbs and downwind dives through the surface shear layer. Here, w
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Shen, Lingfeng, Ning Wang, Xiang Ji, Xiaomin Mu, and Lin Cai. "Iterative Trajectory Optimization for Physical-Layer Secure Buffer-Aided UAV Mobile Relaying." Sensors 19, no. 15 (2019): 3442. http://dx.doi.org/10.3390/s19153442.

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With the fast development of commercial unmanned aerial vehicle (UAV) technology, there are increasing research interests on UAV communications. In this work, the mobility and deployment flexibility of UAVs are exploited to form a buffer-aided relaying system assisting terrestrial communication that is blocked. Optimal UAV trajectory design of the UAV-enabled mobile relaying system with a randomly located eavesdropper is investigated from the physical-layer security perspective to improve the overall secrecy rate. Based on the mobility of the UAV relay, a wireless channel model that changes wi
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Ulu, Burak, Sertaç Savaş, Ömer Faruk Ergin, et al. "Tuning the Proportional–Integral–Derivative Control Parameters of Unmanned Aerial Vehicles Using Artificial Neural Networks for Point-to-Point Trajectory Approach." Sensors 24, no. 9 (2024): 2752. http://dx.doi.org/10.3390/s24092752.

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Nowadays, trajectory control is a significant issue for unmanned micro aerial vehicles (MAVs) due to large disturbances such as wind and storms. Trajectory control is typically implemented using a proportional–integral–derivative (PID) controller. In order to achieve high accuracy in trajectory tracking, it is essential to set the PID gain parameters to optimum values. For this reason, separate gain values are set for roll, pitch and yaw movements before autonomous flight in quadrotor systems. Traditionally, this adjustment is performed manually or automatically in autotune mode. Given the con
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Herizon, Herizon, Milda Yuliza, and Rahmat Rahmat. "Implementation of Photodiode Sensors in a Line Follower Robot." JECCOM: International Journal of Electronics Engineering and Applied Science 2, no. 1 (2024): 32–41. https://doi.org/10.30630/jeccom.2.1.32-41.2024.

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Line follower robot is a type of autonomous robot designed to follow a specific trajectory, usually a black line on a white background. In order for the robot to follow the trajectory accurately, a sensor is required that is able to detect the difference in light intensity between the line and the background. This study evaluates the application of a photodiode sensor to a microcontroller-based line follower robot, focusing on the performance of the sensor under various lighting conditions and surfaces. The results show that the photodiode sensor is able to detect lines with high accuracy of a
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Yu, Wen Ming. "Research on Optimal Vehicle Path in Intelligent Transportation." Applied Mechanics and Materials 644-650 (September 2014): 2615–18. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.2615.

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The rapid development of economy and science and technology is quite obvious, which makes cars becoming more and more widely into the general family life. With the rapid development of economics and technology; the number of vehicles has largely increased. In this paper, there is the basic organizational framework for intelligent transportation, intelligent transportation network proposed model and its data storage structure, and the important influence on optimal path trajectory intelligent transportation planning. This paper analyzes intersection road network in the distribution based on com
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Galeano-Urueña, Carlos Humberto, Carlos Alberto Duque-Daza, and Diego Alexander Garzón-Alvarado. "Application of sizing design optimization to position and velocity synthesis in four bar linkage." Revista Facultad de Ingeniería Universidad de Antioquia, no. 47 (September 18, 2013): 129–44. http://dx.doi.org/10.17533/udea.redin.16690.

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In this work, we have developed and solved the synthesis of position and velocity for four bar mechanisms by means of dimensional and optimal algorithms of nonlinear optimization (sequential quadratic programming SQP). The optimization problem was defined according to the synthesis needed: it can be trajectory, function or velocity generation. The velocity can be defined with an explicit or implicit trajectory. The optimization problem and the search algorithm used in this work allow reaching the best configuration by way of a simple scheme and few iterations. Alternatively, the development of
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Korolev, S. A., and R. R. Mansurov. "Development of Mathematical Support and Software for Ballistic Analysis and Optimization of Active-Missile Projectile Parameters." Intellekt. Sist. Proizv. 22, no. 4 (2024): 98–107. https://doi.org/10.22213/2410-9304-2024-4-98-107.

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The paper presents the results of developing mathematical and software support for internal and external ballisticsmodelling, as well as optimizing the parameters of an active-reactive projectile. A complex mathematical model of active-reactive projectile ballistic analysis includes the problem of external ballistics, the problem of internal ballistics inside the gun barrel and the problem of internal ballistics of a solid-fuel jet engine. The problem of active-reactive projectile parameteroptimization is to increase the flight range with respecttomotion stabilitycondition along the entire tra
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