• Title/Summary/Keyword: Velocity Trajectory

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REMARK ON PARTICLE TRAJECTORY FLOWS WITH UNBOUNDED VORTICITY

  • Pak, Hee Chul
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.4
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    • pp.635-641
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    • 2014
  • The existence and the regularity of the particle trajectory flow X(x, t) along a velocity field u on $\mathbb{R}^n$ are discussed under the BMO-blow-up condition: $${\int}_{0}^{T}{\parallel}{\omega}({\tau}){\parallel}_{BMO}d{\tau}<{\infty}$$ of the vorticity ${\omega}{\equiv}{\nabla}{\times}u$. A comment on our result related with the mystery of turbulence is presented.

Experimental study on human arm motions in positioning

  • Shibata, S.;Ohba, K.;Inooka, H.
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.212-217
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    • 1993
  • In this paper, characteristics of the motions of a human arm are investigated experimentally. When the conditions of the target point are restricted, human adjusts its trajectory and velocity pattern of the arm to fit the conditions skillfully. The purpose of this work is to examine the characteristics of the trajectory, velocity pattern, and the size of the duration in the following cases. First, we examine the case of point-to-point motion. The results are consistent with the minimum jerk theory. However, individual differences in the length of the duration can be observed in the experiment. Second, we examine the case which requires accuracy of positioning at the target point. It is found that the velocity pattern differs from the bell shaped pattern explained by the minimum jerk theory, and has its peak in the first half of the duration. When higher accuracy of the positioning is required, learning effects can be observed. Finally, to examine the case which requires constraint of the arm posture at the target point, we conduct experiments of a human trying to grasp a cup. It is considered that this motion consists of two steps : one is the positioning motion of the person in order to start the grasping motion, the other is the grasping motion of the human's hand approaching toward the cup and grasping it. In addition, two representative velocity patterns are observed : one is the similar velocity pattern explained in the above experiment, the other is the velocity pattern which has its relative maximum in the latter half of the duration.

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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.

PC 인터페이스를 위한 기본 시스템 구성 및 로봇 궤적 생성에 관한 연구

  • 이관철;한창수
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1993.04b
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    • pp.354-358
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    • 1993
  • This paper shows the basic configuration for the system(H/W and S/W) which can interface between the PC and the slave robot. The PC(personal computer) is used for the basic MMI(Man-Machine Interface) system. The slave robot is controlled through the PC, actually the generated trajectory by using polynomials. The velocity control is carried out at the via points of the rrajectory. The heuristic method which chooses the average of the two slopes as the via velocity is used for the velocity control. From the simulation results, we can choose the better trajectory polyomial for reducing the deviation error at the starting and arriving parts.

Reference Trajectory Analysis and Trajectory Control by Bank Angle for Re-Entry Vehicle

  • Cho, Kyeum-Rae;Lee, Dae-Woo
    • Journal of Mechanical Science and Technology
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    • v.16 no.6
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    • pp.745-756
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    • 2002
  • The re-entry problem consists of guidance design and trajectory control. This paper summarizes the detailed relationships between the velocity, drag acceleration and altitude in determining reference trajectories. The computational issues are also addressed, and the performance of the proposed simple nonlinear control of a bank angle for the longitudinal/ lateral trajectory is demonstrated. In particular, the fixed bank angle methods that can reduce the drag acceleration errors at low-speeds are proposed. The importance of bank reversals with respect to the azimuth errors Is also elucidated.

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 trajectory planning for dual robot arms

  • Chong, Nak-Young;Choi, Dong-Hoon;Suh, Il-Hong
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.951-957
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    • 1988
  • A collision-free trajectory planning algorithm is proposed to optimally coordinate two robots working in a common 3-D workspace. Each link of the two robots is modeled as a line segment and by their motion priority, one of the two robots is chosen as the master and the other the slave. And the one-step-ahead minimum distance between the two robots is computed by moving the master to the next location on its specified trajectory. Then the nominal trajectory of the slave is modified such that the distance between the next locations of the master and the slave must be larger than a prespecified allowable minimum distance. Here the weighted sum of the trajectory error and the joint motions of the slave is minimized by using the linear programming technique under the constraints that joint angle and velocity limits are not violated. To show the validity of the proposed algorithm, a numerical example is illustrated by employing a two dof's and a three dof's planar robots.

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Servo control of a manipulator and trajectory planning (매니퓨레이터 서보제어와 궤도 계획)

  • 최진태;박상덕
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.135-139
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    • 1990
  • In general, the control of robot arms falls into two board categories (position control and force control). The joint interpolated trajectory schemes generally interpolate the desired joint path by a class of polynomial functions and generate a sequence of time based control set points for the control of a manipulator from a initial location to its destination. A digital position controller was designed and adapted to the industrial balancing manipulator. And also, the joint interpolated trajectory using 3rd order polynomial was generated in this study. The IBM PC used as the main controller and the trajectory planner had enough run-time capabilities. The 8097BH microcontroller is an integral pan of the joint controller which directly controls an axis of motion. The PI servo control system to treat each joint of the robot arm as a independent joint servo mechanism had satisfying performance, and a sequence of time-based intermediate configurations of the manipulator hand showed good continuity and smoothness on position and velocity of the manipulator's joint coordinates along the trajectory.

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A Study on Intelligent Trajectory Control for Prosthetic Arm by Pattern Recognition & Force Estimation Using EMG Signals (근전도신호의 패턴인식 및 힘추정을 통한 의수의 지능적 궤적제어에 관한 연구)

  • 장영건;홍승홍
    • Journal of Biomedical Engineering Research
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    • v.15 no.4
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    • pp.455-464
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    • 1994
  • The intelligent trajectory control method that controls moving direction and average velocity for a prosthetic arm is proposed by pattern recognition and force estimations using EMG signals. Also, we propose the real time trajectory planning method which generates continuous accelleration paths using 3 stage linear filters to minimize the impact to human body induced by arm motions and to reduce the muscle fatigue. We use combination of MLP and fuzzy filter for pattern recognition to estimate the direction of a muscle and Hogan's method for the force estimation. EMG signals are acquired by using a amputation simulator and 2 dimensional joystick motion. The simulation results of proposed prosthetic arm control system using the EMG signals show that the arm is effectively followed the desired trajectory depended on estimated force and direction of muscle movements.

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