• Title/Summary/Keyword: Trajectory Error

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Study on the Velocity Trajectory for High Speed and High Precision Machining of CNC Machines (CNC 공작기계의 고속 고정밀 가공을 위한 모서리 속도궤적 연구)

  • Kim, Han-Suk;Jeon, Do-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.14-23
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    • 1999
  • This paper proposes a method to generate the velocity trajectory which guarantees user specified contour errors at corners for high speed and high precision motion control of CNC machines. The relation among the desired trajectory, system bandwidth and corner contour error are derived. Experiments show that the corner contour error specified by users can be guaranteed with the proposed velocity trajectory.

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The Analysis of Trajectory Tracking Error Caused by the Tolerance of the Design Parameters of a Parallel Kinematic Manipulator (병렬로봇의 설계 공차가 궤적 정밀도에 미치는 영향 분석)

  • Park, Chanhun;Park, DongIl;Kim, Doohyung
    • The Journal of Korea Robotics Society
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    • v.11 no.4
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    • pp.248-255
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    • 2016
  • Machining error makes the uncertainty of dimensional accuracy of the kinematic structure of a parallel robot system, which makes the uncertainty of kinematic accuracy of the end-effector of the parallel robot system. In this paper, the tendency of trajectory tracking error caused by the tolerance of design parameters of the parallel robot is analyzed. For this purpose, all the position errors are analyzed as the manipulator is moved on the target trajectory. X, Y, Z components of the trajectory errors are analyzed respectively, as well as resultant errors, which give the designer of the manipulator the intuitive and deep understanding on the effects of each design parameter to the trajectory tracking errors caused by the uncertainty of dimensional accuracy. The research results shows which design parameters are critically sensitive to the trajectory tracking error and the tendency of the trajectory tracking error caused by them.

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 Tracking Control of Wheeled Mobile Robot Using a Model Reference Adaptive Fuzzy Controller (모델참조 적응 퍼지제어기를 이용한 휠베이스 이동 로봇의 궤적 추적 제어)

  • Kim, Seung-Woo;Seo, Ki-Sung;Cho, Young-Wan
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.7
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    • pp.711-719
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    • 2009
  • This paper presents a design scheme of torque control for wheeled mobile robot(WMR) to asymptotically track the target reference trajectory. By considering the kinematic model of WMR, trajectory tracking control generates the desired tracking trajectory, which is transformed into the command velocity vector for the real WMR to track the target reference trajectory. The dynamic equation of the state error between the target reference trajectory and the desired tracking trajectory is represented by Takagi-Sugeno fuzzy model, and this model is used as the reference model for the real mobile robot error dynamics to follow. The control parameters are updated by adaptive laws that are designed for the error states of the real WMR to asymptotically follow the states of reference error model for the desired tracking trajectory. The proposed control is applied to a typical wheeled mobile robot and simulation studies are carried out to verify the validity and effectiveness of the control scheme.

Vehicle Trajectory Control using Fuzzy Logic Controller (퍼지논리제어기를 이용한 차량의 궤적제어)

  • 이승종;조현욱
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.11
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    • pp.91-99
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    • 2003
  • When the driver suddenly depresses the brake pedal under critical conditions, the desired trajectory of the vehicle can be changed. In this study, the vehicle dynamics and fuzzy logic controller are used to control the vehicle trajectory. The dynamic vehicle model consists of the engine, the rotational wheel, chassis, tires and brakes. The engine model is derived from the engine experimental data. The engine torque makes the wheel rotate and generates the angular velocity and acceleration of the wheel. The dynamic equation of the vehicle model is derived from the top-view vehicle model using Newton's second law. The Pacejka tire model formulated from the experimental data is used. The fuzzy logic controller is developed to compensate for the trajectory error of the vehicle. This fuzzy logic controller individually acts on the front right, front left, rear right and rear left brakes and regulates each brake torque. The fuzzy logic controlling each brake works to compensate for the trajectory error on the split - $\mu$ road conditions follows the desired trajectory.

Walking Pattern Analysis for Reducing Trajectory Tracking Error in a Biped Robot (이족보행로봇의 궤적 추종 오차 감소를 위한 걸음새 분석)

  • 노경곤;공정식;김진걸
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.10
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    • pp.890-897
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    • 2002
  • This paper deals with the reduction of trajectory tracking error by changing the initial postures of a biped robot. Gait of a biped robot depends on the constraints of mechanical kinematics and the initial states including the posture. Also the dynamic walking stability in a biped robot system is analyzed by zero moment point(ZMP) among the stabilization indices. Path trajectory, in which knee joint is bent forward like human's cases, is applied to most cases considered with above conditions. A new initial posture, which is similar to bird's gait, is proposed to decrease trajectory tracking error and it is verified through real experimental results.

A Study on the Path Constraint Error Reducing Trajectory Planning (Path Constraint한 궤적 계획법의 위치 오차 감소에 관한 연구)

  • Hwang, Seung-Jae;Park, Se-Woong;Kim, Dong-Jun;Kim, Kab-Il;Kim, Dae-Won
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.843-845
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    • 1995
  • There are a variety of trajectory and control algorithms available for robot trajectory tracking. Before using the enhanced trajectory and control algorithms to reduce the tracking error, we introduce the new method which reduces the tracking error by clipping the joint velocity. A lot of robot trajectory tracking methods are proposed to enhance the robot tracking, but irregular tracking errors are always accompanied. Up to now, these irregular tracking errors are gradually but uniformly reduced by introducing more complicated control algorithms. It is intuitively obvious to reduce only the big errors selectively in the irregular ones for the better performance. By heuristic method, big tracking errors in these irregular ones are assumed mostly due to the fast moving of joint with respect to the same tracking and control method. So, in this paper, we introduce a new method which reduce the big tracking errors by clippings the joint velocity with the constraint of given path. Using this method, desired trajectory tracking is obtained within the far reduced error bound. Also, this method is successfully applied to generate the path-constrained error reducing trajectories for 2-axis SCARA type robot.

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Cross-Coupled Control for Multi-axes Servo System (다축 서보시스템의 상호결합 제어)

  • Kang, Myung-Goo;Lee, Je-Hie;Huh, Uk-Youl
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.186-188
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    • 1995
  • In this paper, Cross-Coupled Controller proposed for multi axes servo system. Tracking error and contouring error exist when a machine tool moves along the trajectory in multi exes system. The proposed scheme enhances the contouring performance by reducing contour error. Feedforward compensator reduces the effects of a nonlinear disturbance such as friction or dead zone. The proposed control scheme reduces the contour error which occured when the tool tracks the reference trajectory. Simulation results show that this scheme improves the contouring performance along the reference trajectory in XY-table.

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Improvement of OPW-TR Algorithm for Compressing GPS Trajectory Data

  • Meng, Qingbin;Yu, Xiaoqiang;Yao, Chunlong;Li, Xu;Li, Peng;Zhao, Xin
    • Journal of Information Processing Systems
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    • v.13 no.3
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    • pp.533-545
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    • 2017
  • Massive volumes of GPS trajectory data bring challenges to storage and processing. These issues can be addressed by compression algorithm which can reduce the size of the trajectory data. A key requirement for GPS trajectory compression algorithm is to reduce the size of the trajectory data while minimizing the loss of information. Synchronized Euclidean distance (SED) as an important error measure is adopted by most of the existing algorithms. In order to further reduce the SED error, an improved algorithm for open window time ratio (OPW-TR) called local optimum open window time ratio (LO-OPW-TR) is proposed. In order to make SED error smaller, the anchor points are selected by calculating point's accumulated synchronized Euclidean distance (ASED). A variety of error metrics are used for the algorithm evaluation. The experimental results show that the errors of our algorithm are smaller than the existing algorithms in terms of SED and speed errors under the same compression ratio.

The Driving Trajectory Measurement and Analysis Techniques using Conventional GPS Sensor for the Military Operation Environments (군운용 환경에 적합한 GPS 센서기반 주행궤적 측정 및 분석 기술)

  • Jung, Ilgyu;Ryu, Chiyoung;Kim, Sangyoung
    • Journal of the Korea Institute of Military Science and Technology
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    • v.20 no.6
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    • pp.774-780
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    • 2017
  • The techniques for driving trajectory calculation and driving trajectory distribution calculation are proposed to analyze the durability of ground vehicles effectively. To achieve this aim, the driving trajectory of a vehicle and the driving trajectory distribution of that are needed, in addition to road profile. The road profiles can be measured by a profilometer but a driving trajectory of a vehicle cannot be acquired effectively due to a large position error from a conventional GPS sensor. Therefore two techniques are proposed to reduce the position error of a vehicle and achieve the distribution of driving trajectory of that. The driving trajectory calculation technique produces relative positions by using the velocity, time and heading of a vehicle. The driving trajectory distribution calculation technique produces distributions of the driving trajectory by using axis transformation, estimating reference line, dividing sectors and plotting a histogram of the sectors. As a results of this study, we can achieve the considerably accurate driving trajectory and driving trajectory distribution of a vehicle.