• Title/Summary/Keyword: Trajectory Design

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Mission Trajectory Design using Three-Body Dynamics (3체 역학 방정식을 이용한 위성 임무 궤도 설계)

  • Chung, Tae-Jin;Lee, Na-Young
    • Journal of Satellite, Information and Communications
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    • v.5 no.2
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    • pp.50-56
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    • 2010
  • Most mission trajectory design technologies for space exploration have been utilized the Patched Conic Approximation which is based on Hohmann transfer in two-body problem. The Hohmann transfer trajectory is basically an elliptic trajectory, and Patched Conic Approximation consists of Hohmann transfer trajectories in which each trajectory are patched to the next one. This technology is the most efficient method when considering only one major planet at each patch trajectory design. The disadvantages of the conventional Patched Conic Approach are more fuel (or mass) needed and only conic trajectories are designed. Recent space exploration missions need to satisfy more various scientific or engineering goals, and mission utilizing smaller satellites are needed for cost reduction. The geometrical characteristics of three-body dynamics could change the paradigm of the conventional solar system. In this theoretical concept, one can design a trajectory connecting around the solar system with comparably very small energy. In this paper, the basic three-body dynamics are introduced and a spacecraft mission trajectory is designed utilizing the three-body dynamics.

Design and Implementation of a Trajectory-based Index Structure for Moving Objects on a Spatial Network (공간 네트워크상의 이동객체를 위한 궤적기반 색인구조의 설계 및 구현)

  • Um, Jung-Ho;Chang, Jae-Woo
    • Journal of KIISE:Databases
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    • v.35 no.2
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    • pp.169-181
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    • 2008
  • Because moving objects usually move on spatial networks, efficient trajectory index structures are required to achieve good retrieval performance on their trajectories. However, there has been little research on trajectory index structures for spatial networks such as FNR-tree and MON-tree. But, because FNR-tree and MON-tree are stored by the unit of the moving object's segment, they can't support the whole moving objects' trajectory. In this paper, we propose an efficient trajectory index structure, named Trajectory of Moving objects on Network Tree(TMN Tree), for moving objects. For this, we divide moving object data into spatial and temporal attribute, and preserve moving objects' trajectory. Then, we design index structure which supports not only range query but trajectory query. In addition, we divide user queries into spatio-temporal area based trajectory query, similar-trajectory query, and k-nearest neighbor query. We propose query processing algorithms to support them. Finally, we show that our trajectory index structure outperforms existing tree structures like FNR-Tree and MON-Tree.

Trajectory Control for Re-entry Vehicle (재진입비행체의 궤적제어)

  • 박수홍;이대우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.361-364
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    • 1997
  • The re-enty guidance design involves trajectory optimization, generation of a reference drag acceleration profile with the satisfaction of trajectory constraints. This reference drag acceleration profile can be considered as the reference trajectory. This paper proposes the atmospheric re-entry system which is composed of longitudinal, later and range control. This paper shows the a performance of a re-entry guidance and control system using feedback linearization control and predictive control.

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Tool-trajectory Error at the Singular Area of Five-axis Machining - Part I: Trajectory Error Modeling - (5축 가공의 특이영역에서 공구궤적 오차 - Part I: 궤적오차 모델링 -)

  • So, Bum-Sik;Jung, Yoong-Ho;Yun, Jae-Deuk
    • Korean Journal of Computational Design and Engineering
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    • v.14 no.1
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    • pp.18-24
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    • 2009
  • This paper proposes an analytical method of evaluating the maximum error by modeling the exact tool path for the tool traverse singular region in five-axis machining. It is known that the NC data from the inverse kinematics transformation of 5-axis machining can generate singular positions where incoherent movements of the rotary axes can appear. These lead to unexpected errors and abrupt operations, resulting in scoring on the machined surface. To resolve this problem, previous methods have calculated several tool positions during a singular operation, using inverse kinematics equations to predict tool trajectory and approximate the maximum error. This type of numerical approach, configuring the tool trajectory, requires much computation time to obtain a sufficient number of tool positions in a region. We have derived an analytical equation for the tool trajectory in a singular area by modeling the tool operation into a linear and a nonlinear part that is a general form of the tool trajectory in the singular area and that is suitable for all types of five-axis machine tools. In addition, we have evaluated the maximum tool-path error exactly, using our analytical model. Our algorithm can be used to modify NC data, making the operation smoother and bringing any errors to within tolerance.

A trajectory prediction of human reach (Reach 동작예측 모델의 개발)

  • 최재호;정의승
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1995.04a
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    • pp.787-796
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    • 1995
  • A man model is a useful design tool for the evaluation of man machine systems and products. An arm reach trajectory prediction for such a model will be specifically useful to present human activities and, consequently, could increase the accuracy and reality of the evaluation. In this study, a three-dimensional reach trajectory prediction model was developed using an inverse kinematics technique. The upper body was modeled as a four link open kinematic chain with seven degrees of freedom. The Resolved Motion Method used for the robot kinematics problem was used to predict the joint movements. The cost function of the perceived discomfort developed using the central composite design was also used as a performance function. This model predicts the posture by moving the joints to minimize the discomfort on the constraint of the end effector velocity directed to a target point. The results of the pairwise t-test showed that all the joint coordinates except the shoulder joint's showed statistically no differences at .alpha. = 0.01. The reach trajectory prediction model developed in this study was found to accurately simulate human arm reach trajectory and the model will help understand the human arm reach movement.

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COLLISION-FREE TRAJECTRY PLANNING FOR DUAL ROBOT ARMS USING ITERATIVE LEARNING CONCEPT

  • Suh, Il-Hong;Chong, Nak-Young;Choi, Donghun;Shin, Kang-G.
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.627-634
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    • 1989
  • A collision-free trajectory planning algorithm using the iterative learning concept is proposed for dual robot arms in a 3-D workspace to accurately follow their specified paths with constant velocities. Specifically, a collision-free trajectory minimizing the trajectory error is obtained first by employing the linear programming technique. Then the total operating time is iteratively adjusted based on the maximum trajectory error of the previous iteration so that the collision-free trajectory has no deviation from the specified path and also the operating time is near-minimal.

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Design of Drop Islands to Accommodate the Left Turn Trajectory and Stop Bar (좌회전 궤적과 정지선 위치를 고려한 물방울 교통섬 설계 방법)

  • Kim, Dong Nyong;Kim, Byung Jung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.2D
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    • pp.217-225
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    • 2009
  • The study on the left turning trajectory has not done many times in Korea. Because of this, there are a lot of intersections built without considering on turning trajectory of vehicles, in Korea, and we can see many conflicts, reduced capacity of turn, especially at small intersections. Even if left turn trajectory is designed well, it is not easy to mark exactly on the pavement according to the turn trajectory. This study suggests "drop Islands" which can be seen in Europe, and is introduced in Korea recently, to solve the problems of conflicts and reduced capacity of turning. It suggests a table of location of the stop line so that the engineers who design the intersection design appropriate left turn trajectory and marking of the stop line and turn trajectory is done more exactly. To evaluate the effect of "drop island", two intersections with and without drop island were compared on the turnning radii and location of stop line. Construction of "drop island" can increase the capacity of intersection and safety without additional land and construction expenses.

MPC Based Feedforward Trajectory for Pulling Speed Tracking Control in the Commercial Czochralski Crystallization Process

  • Lee Kihong;Lee Dongki;Park Jinguk;Lee Moonyong
    • International Journal of Control, Automation, and Systems
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    • v.3 no.2
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    • pp.252-257
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    • 2005
  • In this work, we propose a simple but efficient method to design a target temperature trajectory for pulling speed tracking control of the crystal grower in the Czochralski crystallization process. In the suggested method, the model predictive control strategy is used to incorporate the complex dynamic effect of the heater temperature on the pulling speed into the temperature trajectory design quantitatively. The feedforward trajectories designed by the proposed method were implemented on 200 mm and 300 mm silicon crystal growers in the commercial Czochralski process. The application results have demonstrated its excellent and consistent tracking performance of pulling speed along whole bulk crystal growth.

Trajectory optimization for galloping quadruped robots (4 족보행 로봇의 갤로핑 궤적의 최적화)

  • Chae, Key-Gew;Park, Jong-Hyeon
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.831-836
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    • 2007
  • This paper proposes an optimal galloping trajectory which costs low energy and guarantees the stability of the quadruped robot. In the realization of the fast galloping, the trajectory design is important. As a galloping trajectory, we propose an elliptic leg trajectory, which provides simplified locomotion to complex galloping motions of animals. However, the elliptic trajectory, as an imitation of animal galloping motion, does not guarantee stability and minimal energy consumption. We propose optimization based on the energy and stability using a genetic algorithm, which provides the robust and global solution to a multi-body, highly nonlinear dynamic system. To evaluate and verify the effectiveness of the proposed trajectory, computer simulations were carried out.

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Design of Trajectory Generator for Performance Evaluation of Navigation Systems

  • Jae Hoon Son;Sang Heon Oh;Dong-Hwan Hwang
    • Journal of Positioning, Navigation, and Timing
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    • v.12 no.4
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    • pp.409-421
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    • 2023
  • In order to develop navigation systems, simulators that provide navigation sensors data are required. A trajectory generator that simulates vehicle motion is needed to generate navigation sensors data in the simulator. In this paper, a trajectory generator for evaluating navigation system performance is proposed. The proposed trajectory generator consists of two parts. The first part obtains parameters from the motion scenario file whereas the second part generates position, velocity, and attitude from the parameters. In the proposed trajectory generator six degrees of freedom, halt, climb, turn, accel turn, spiral, combined, and waypoint motions are given as basic motions with parameters. These motions can be combined to generate complex trajectories of the vehicle. Maximum acceleration and jerk for linear motion and maximum angular acceleration and velocity for rotational motion are considered to generate trajectories. In order to show the usefulness of the proposed trajectory generator, trajectories were generated from motion scenario files and the results were observed. The results show that the proposed trajectory generator can accurately simulate complex vehicle motions that can be used to evaluate navigation system performance.